{"id":365,"date":"2023-06-13T14:34:48","date_gmt":"2023-06-13T21:34:48","guid":{"rendered":"https:\/\/live-usc-dornsife.pantheonsite.io\/larry-goldstein\/?page_id=365"},"modified":"2025-05-19T08:11:28","modified_gmt":"2025-05-19T15:11:28","slug":"selected-publications-talks","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/larry-goldstein\/selected-publications-talks\/","title":{"rendered":"Selected Talks and Publications"},"content":{"rendered":"\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <h3>Selected Talks<\/h3>\n<h3>2025:<\/h3>\n<ul>\n<li>Uppsala University, Department of Mathematics, Bias and Division in the Free World<\/li>\n<\/ul>\n<h3>2022:<\/h3>\n<ul>\n<li><a href=\"https:\/\/ims.nus.edu.sg\/events\/steins-method-the-golden-anniversary\/\">Stein\u2019s Method: The Golden Anniversary<\/a>, National University of Singapore, Zero Bias Enhanced Stein Couplings<\/li>\n<li>Collegio Carlo Alberto, Turin Italy, Relaxing Gaussian Assumptions in High Dimensional Statistical Procedures<\/li>\n<li>University of Minnesota Data Science Seminar: Relaxing Gaussian Assumptions in High Dimensional Statistical Procedures<\/li>\n<\/ul>\n<hr \/>\n<p>&nbsp;<\/p>\n<h3>2021:<\/h3>\n<ul>\n<li><a href=\"https:\/\/sites.google.com\/sigma.iimas.unam.mx\/sph\/enero-julio-2021?authuser=0https:\/\/sites.google.com\/sigma.iimas.unam.mx\/sph\/enero-julio-2021?authuser=0\">Seminario de Probabilidad Hispanohablante<\/a>: Ordenaci\u00f3n y la aproximaci\u00f3n de Dickman para el algoritmo Quickselect<\/li>\n<li><a href=\"http:\/\/www.mathematik.tu-dortmund.de\/lsix\/lehre\/WiSe2021\/GRK-Seminar\/index.php\">GRK Seminar<\/a>, Technische Universit\u00e4t Dortmund, Germany: Relaxing Gaussian Assumptions in High Dimensional Statistical Procedures<\/li>\n<\/ul>\n<hr \/>\n<p>&nbsp;<\/p>\n<h3>2019:<\/h3>\n<ul>\n<li>Chulalongkorn University, Bangkok Thailand: Dickman Approximation for Quickselect sorting, and by Stein&#8217;s Method in Number theory<\/li>\n<li>Coumbia University, New York: Nonlinear Compressed Non-Gaussian Sensing via Stein Discrepancies<\/li>\n<li>CUNY, New York: Dickman Approximation for Quickselect sorting, and by Stein&#8217;s Method in Number theory<\/li>\n<li>UCSD, La Jolla: Dickman Approximation for Quickselect sorting, and by Stein&#8217;s Method in Number theory<\/li>\n<li>International Conference on Machine Learning, Long Beach: <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/10\/ICML.pdf\">The many faces of a simple identity<\/a><\/li>\n<li><a href=\"https:\/\/www.ims.nus.edu.sg\/oldwww2\/events\/2019\/stein\/index.html\">Symposium in Memory of Charles Stein [1920 &#8211; 2016]<\/a>, National Univeristy of Singapore: Dickman approximation in quickselect sorting and probabilistic number theory<\/li>\n<li><a href=\"https:\/\/www.ims.nus.edu.sg\/oldwww2\/events\/2019\/stein\/index.html\">Symposium in Memory of Charles Stein [1920 &#8211; 2016]<\/a>, National Univeristy of Singapore: Single index models and non-linear compressed sensing in the non-Gaussian case via Stein type discrepancies<\/li>\n<\/ul>\n<hr \/>\n<h3>2018:<\/h3>\n<ul>\n<li>University of British Columbia: <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/SteinerUBC.pdf\" target=\"_blank\" rel=\"noopener\">Steining the Steiner Formula<\/a><\/li>\n<li>Guanajuato Mexico, <a href=\"http:\/\/www.cimat.mx\/\">CIMAT<\/a>, <a href=\"http:\/\/epe2018.eventos.cimat.mx\/\">XVI Escuela de Probabilidad y Estadistica<\/a> Minicurso: <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/CharlasdeCharles.pdf\">Charlas de Charles<\/a><\/li>\n<\/ul>\n<hr \/>\n<h3>Selected talks in previous years<\/h3>\n<ul>\n<li>Singapore, <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/StrongEmbeddings.pdf\" target=\"_self\">Progress using Stein&#8217;s method for strong embeddings<\/a><\/li>\n<li>Minnesota: IMA workshop on Information Theory and Concentration Phenomena <a href=\"http:\/\/www.ima.umn.edu\/2014-2015\/W4.13-17.15\/abstracts.html#23078\">Steining the Steiner formula<\/a><\/li>\n<li>Evanston, Il. 36th Midwest Probability Colloquium, Two tutorial talks on Stein&#8217;s method: <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/distributionalapproximation.pdf\" target=\"_blank\" rel=\"noopener\">Distributional approximation<\/a>, <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/concentrationinequalities.pdf\" target=\"_blank\" rel=\"noopener\">Concentration<\/a><\/li>\n<li>Singapore, <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/Sbounded_concentration.pdf\" target=\"_blank\" rel=\"noopener\">Concentration of Measures by Bounded Couplings,<\/a> <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/SUTDBeta.pdf\" target=\"_blank\" rel=\"noopener\">Stein&#8217;s Method for the Beta distribution with applications to the P\u00f3lya Urn<\/a><\/li>\n<li>Oxford, <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/Obounded_concentration.pdf\" target=\"_blank\" rel=\"noopener\">Concentration of Measures by Bounded Size Bias Couplings<\/a><\/li>\n<li>Istanbul, <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/inductive.pdf\" target=\"_blank\" rel=\"noopener\">The Inductive Method, Unbounded Couplings and Stein&#8217;s Method<\/a><\/li>\n<li>Chalkidiki Greece, <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/eff-mple.pdf\" target=\"_blank\" rel=\"noopener\">Semi-Parametric Efficiency Bounds for the Maximum Partial Likelihood Estimator in Nested Case-Control Sampling<\/a><\/li>\n<li>Rome, <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/bounded_concentration.pdf\">Concentration of Measures by Bounded Size Bias Couplings<\/a><\/li>\n<li>Singapore, <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/ltb.pdf\" target=\"_blank\" rel=\"noopener\">A Berry-Esseen theorem for the lightbulb Process<\/a><\/li>\n<li>Guanajuato, Mexico, <a href=\"http:\/\/www.cimat.mx\/\">CIMAT<\/a> Seminar: <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/cimat.pdf\" target=\"_blank\" rel=\"noopener\">El M\u00e9todo de Stein y algunas Aplicaciones<\/a><\/li>\n<li><a href=\"http:\/\/www.ims.nus.edu.sg\/Programs\/stein09\/\">Singapore<\/a>, Four Tutorial talks on Stein&#8217;s Method <a href=\"http:\/\/www.ims.nus.edu.sg\/Programs\/stein09\/files\/A%20Gentle%20Introduction%201.pdf\">1<\/a>,<a href=\"http:\/\/www.ims.nus.edu.sg\/Programs\/stein09\/files\/A%20Gentle%20Introduction%202.pdf\">2<\/a>,<a href=\"http:\/\/www.ims.nus.edu.sg\/Programs\/stein09\/files\/A%20Gentle%20Introduction%203.pdf\">3<\/a>,<a href=\"http:\/\/www.ims.nus.edu.sg\/Programs\/stein09\/files\/A%20Gentle%20Introduction%204.pdf\">4<\/a><\/li>\n<li>Rome, <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/L1.pdf\">Bounds on the constant in the mean central limit theorem<\/a><\/li>\n<li>Oslo, Norway <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/complex_event.pdf\" target=\"_blank\" rel=\"noopener\">Mantel-Haenszel type estimators and cohort sampling schemes<\/a><\/li>\n<\/ul>\n<hr size=\"1\" width=\"100%\" \/>\n<p>Five Talks in Melbourne<\/p>\n<p><a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/abstracts.pdf\">Abstracts<\/a><\/p>\n<p><i>1. <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/curious_connection.pdf\" target=\"_blank\" rel=\"noopener\">A Curious Connection Between Optimal Stopping and Branching Processes<\/a><\/i><\/p>\n<p><i><\/i><i>2. <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/two_choice.pdf\" target=\"_blank\" rel=\"noopener\">Two Choice Stopping: How much is an extra chance worth?<\/a><\/i><\/p>\n<p>3. <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/local_extremes_and_combinatorial_clt.pdf\" target=\"_blank\" rel=\"noopener\"><i><\/i><i>Berry Esseen Bounds for Local Extremes and Combinatorial Central Limit Theorems, using Size and Zero Biasing<\/i><\/a><\/p>\n<p><i>4. <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/hierarchical.pdf\" target=\"_blank\" rel=\"noopener\">Normal Approximation for Hierarchical Sequences<\/a><\/i><\/p>\n<p><i><\/i><i>5. <a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/cohort_sampling.pdf\" target=\"_blank\" rel=\"noopener\">Sampling Case-Control Studies Over Time<\/a><\/i><\/p>\n<hr \/>\n<h3>Selected Publications<\/h3>\n<p><a href=\"http:\/\/arxiv.org\/a\/goldstein_l_1\">Papers on the arxiv server<\/a><\/p>\n<p><strong>Zero Bias and Infinite Divisibility\u00a0<\/strong><br \/>\nGoldstein, L. and Kemp, T.<br \/>\n<a href=\"https:\/\/doi.org\/10.1007\/s10985-022-09582-4\">[<\/a><a href=\"https:\/\/arxiv.org\/abs\/2403.19860\">https:\/\/arxiv.org\/abs\/2403.19860<\/a><a href=\"https:\/\/arxiv.org\/abs\/2306.16308\">]<\/a><\/p>\n<p><strong>Gaussian random field approximation via Stein&#8217;s method with applications to wide random neural networks<\/strong><br \/>\nBalasubramanian, K., Goldstein, L., Ross, N. and Salim, A.<br \/>\n<a href=\"https:\/\/doi.org\/10.1007\/s10985-022-09582-4\">[<\/a><a href=\"https:\/\/arxiv.org\/abs\/2306.16308\">https:\/\/arxiv.org\/abs\/2306.16308<\/a><a href=\"https:\/\/arxiv.org\/abs\/2306.16308\">]<\/a><\/p>\n<p><strong>Analysis and asymptotic theory for nested case\u2013control designs under highly stratified proportional hazards models<\/strong><br \/>\nGoldstein, L. and Langholz, B.<br \/>\nLifetime Data Analysis (2022) <a href=\"https:\/\/doi.org\/10.1007\/s10985-022-09582-4\">https:\/\/doi.org\/10.1007\/s10985-022-09582-4<\/a><\/p>\n<p><strong>Zero Bias Enhanced Stein Couplings<\/strong><br \/>\nGoldstein, L.<br \/>\n<em>Electronic Communications in Probability <\/em>(2022), Vol. 27, paper no. 62, 1-13.<br \/>\n[<a href=\"https:\/\/arxiv.org\/abs\/2206.05413\">https:\/\/arxiv.org\/abs\/2206.05413<\/a>][<a href=\"https:\/\/projecteuclid.org\/journals\/electronic-communications-in-probability\/volume-27\/issue-none\/Zero-bias-enhanced-Stein-couplings\/10.1214\/22-ECP504.full\">Euclid<\/a>]<\/p>\n<p><strong>Relaxing the Gaussian assumption in Shrinkage and SURE in high dimension<\/strong><br \/>\nFathi, M., Goldstein, L., Reinert, G. and Saumard, A.<br \/>\n<em>Annals of Statistics, <\/em>(2022) vol 50, No 4, 2732&#8211;2766<br \/>\n[<a href=\"https:\/\/doi.org\/10.1214\/22-AOS2208\">https:\/\/doi.org\/10.1214\/22-AOS2208<\/a>]<\/p>\n<p><strong>M-estimation in a diffusion model with application to biosensor transdermal blood alcohol monitoring<\/strong><br \/>\nAllayioti, M., Bartroff, J., Goldstein, L., Luczak, S. and Rosen, G.<br \/>\n[<a href=\"https:\/\/arxiv.org\/abs\/2002.05335\">https:\/\/arxiv.org\/abs\/2002.05335<\/a>]<\/p>\n<p><strong>The Game of Poker Chips, Dominoes and Survival<\/strong><br \/>\nGoldstein, L.<br \/>\n<em>Recreational Mathematics Magazine, (2021) vol 8, Issue 14, pp 91-104<\/em><br \/>\n[<a href=\"https:\/\/sciendo.com\/issue\/RMM\/8\/14\">https:\/\/sciendo.com\/issue\/RMM\/8\/14<\/a>]<\/p>\n<p><strong>Stein&#8217;s method via induction<\/strong><br \/>\nChen, L., Goldstein, L. and R\u00f6llin, A.<br \/>\nElectronic Journal of Probability, <em>(2020) vol 25, paper no. 132, pp. 1-49<\/em><br \/>\n[<a href=\"https:\/\/projecteuclid.org\/euclid.ejp\/1603850574\">Euclid<\/a>] [<a href=\"https:\/\/arxiv.org\/abs\/1903.09319\">https:\/\/arxiv.org\/abs\/1903.09319<\/a>]<\/p>\n<p><strong>Dickman approximation in simulation, summations and perpetuities<\/strong><br \/>\nBhattacharjee, C. and Goldstein, L.<br \/>\nBernoulli, <em>(2019) vol 25, No. 4A, pp. 2758\u20132792<\/em><br \/>\n[<a href=\"https:\/\/arxiv.org\/abs\/1706.08192\">https:\/\/arxiv.org\/abs\/1706.08192<\/a>]<\/p>\n<p><strong>Size bias for one and all<\/strong><br \/>\nArratia, R., Goldstein, L. and Kochman, F.<br \/>\nProbability Surveys, (2019) vol 16, pp. 1-61<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1308.2729\">http:\/\/arxiv.org\/abs\/1308.2729<\/a>]<\/p>\n<p><strong>Non-Gaussian Observations in Nonlinear Compressed Sensing via Stein Discrepancies<\/strong><br \/>\nGoldstein, L. and Wei, X<br \/>\nInformation and Inference: A Journal of the IMA, (2019) vol 8.1, pp. 125-159. <a href=\"https:\/\/doi.org\/10.1093\/imaiai\/iay006\" target=\"_self\">iay006<\/a>.<br \/>\n[<a href=\"https:\/\/arxiv.org\/abs\/1609.08512\">https:\/\/arxiv.org\/abs\/1609.08512<\/a>]<\/p>\n<p><strong>Non asymptotic distributional bounds for the Dickman approximation of the running time of the Quickselect algorithm<\/strong><br \/>\nGoldstein, L.<br \/>\nElectronic Journal of Probability, (2018) vol. 23, pp. 1&#8211;13 <a href=\"https:\/\/projecteuclid.org\/euclid.ejp\/1538445816\" target=\"_blank\" rel=\"noopener\">DOI: 10.1214\/18-EJP227<\/a><br \/>\n[<a href=\"https:\/\/arxiv.org\/abs\/1703.00505\" target=\"_blank\" rel=\"noopener\">https:\/\/arxiv.org\/abs\/1703.00505<\/a>]<\/p>\n<p><strong>Structured signal recovery from non-linear and heavy-tailed measurements<\/strong><br \/>\nGoldstein, L., Minsker, S. and Wei, X.<br \/>\nIEEE Transactions on Information Theory, (2018) vol 64, No. 8, pp. 5513-5530<br \/>\n[<a href=\"https:\/\/arxiv.org\/abs\/1609.01025\">https:\/\/arxiv.org\/abs\/1609.01025<\/a>]<\/p>\n<p><strong>A BKR operation for events occurring for disjoint reasons with high probability<\/strong><br \/>\nGoldstein, L. and Rinott, Y.<br \/>\n<i> <\/i>Methodology and Computing in Applied Probability (2018),<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1608.05612\">http:\/\/arxiv.org\/abs\/1608.05612<\/a>][<a href=\"http:\/\/rdcu.be\/JqID\">Springer<\/a>][<a href=\"https:\/\/doi.org\/10.1007\/s11009-018-9623-6\">doi.org\/10.1007\/s11009-018-9623-6<\/a>]<\/p>\n<p><strong>Stein&#8217;s method for positively associated random variables with applications to Ising, percolation and voter models<\/strong><br \/>\nGoldstein, L. and Wiroonsri, N.<br \/>\nAnnales de l\u2019Institut Henri Poincar\u00e9, (2018) vol 54, 385\u2013421<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1603.05322\">http:\/\/arxiv.org\/abs\/1603.05322<\/a>]<\/p>\n<p><strong>Bounds to the normal for proximity region graphs<\/strong><br \/>\nGoldstein, L., Johnson, T. and Lachi\u00e8ze-Rey, R.<br \/>\nStochastic Processes and Applications, (2018) no. 4, 1208-1237.<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1510.09188\">http:\/\/arxiv.org\/abs\/1510.09188<\/a>][<a href=\"https:\/\/doi.org\/10.1016\/j.spa.2017.07.002\">SPA<\/a>]<\/p>\n<p><strong>Size biased couplings and the spectral gap for random regular graphs<\/strong><br \/>\nCook, N., Goldstein, L. and Johnson, T.<br \/>\nAnnals of Probability, (2018), vol 46, No.1, 72-125<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1510.06013\">http:\/\/arxiv.org\/abs\/1510.06013<\/a>]<\/p>\n<p><strong>Bounded size biased couplings, log concave distributions and concentration of measure for occupancy models<\/strong><br \/>\nBartroff, J., Goldstein, L. and I\u015flak, \u00dc.<br \/>\nBernoulli, (2018) vol 24, No. 4B, pp. 3283-3317.<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1402.6769\">http:\/\/arxiv.org\/abs\/1402.6769<\/a>]<\/p>\n<p><strong>The sequential probability ratio test: An efficient alternative to exact binomial testing for clean water act 303(d) evaluation<\/strong><br \/>\nChen, C., Gribble, M., Bartroff, J., Bay, S. and Goldstein, L.<br \/>\nJournal of Environmental Management, (2017) vol. 192, pp. 89\u2013-93<br \/>\n[<a href=\"https:\/\/authors.elsevier.com\/a\/1UT8014Z6tTEba\">Elsevier Link<\/a>][<a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0301479717300580\">Science Direct<\/a>]<\/p>\n<p><strong>Gaussian Phase Transitions and Conic Intrinsic Volumes: Steining the Steiner Formula<\/strong><br \/>\nGoldstein, L., Nourdin, I. and Peccati, G.<br \/>\nAnnals of Applied Probability (2017), vol 27, pp. 1-47<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1411.6265\">http:\/\/arxiv.org\/abs\/1411.6265]<\/a><\/p>\n<p><strong>On Strong Embeddings by Stein&#8217;s Method<\/strong><br \/>\nBhattacharjee, C. and Goldstein, L.<br \/>\nElectronic Journal of Probability, (2016) vol 21, paper no. 15, 30 pp.<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1505.03199\">http:\/\/arxiv.org\/abs\/1505.03199<\/a>][<a href=\"http:\/\/projecteuclid.org\/euclid.ejp\/1456412955\">EJP<\/a>]<\/p>\n<p><strong>Stein&#8217;s method and the rank distribution of random matrices over finite fields<\/strong><br \/>\nFulman, J. and Goldstein, L.<br \/>\nAnnals of Probability, (2015) vol 43, pp. 1274-1314<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1211.0504\">http:\/\/arxiv.org\/abs\/1211.0504<\/a>]<\/p>\n<p><strong>Concentration inequalities via zero bias couplings<\/strong><br \/>\nGoldstein, L. and I\u015flak, \u00dc.<br \/>\nStatistics and Probability Letters, (2014), vol 86, pp. 17-23<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1304.5001\">http:\/\/arxiv.org\/abs\/1304.5001<\/a>][<a href=\"http:\/\/authors.elsevier.com\/sd\/article\/S0167715213004008\">Elsevier<\/a>] [10.1016\/j.spl.2013.12.001]<\/p>\n<p><strong>Stein&#8217;s method for the Beta distribution and the P\u00f2lya-Eggenberger Urn<\/strong><br \/>\nGoldstein, L. and Reinert, G.<br \/>\nJournal of Applied Probability, (2013), vol 50, pp. 1187\u20131205<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1207.1460\">http:\/\/arxiv.org\/abs\/1207.1460<\/a>]<\/p>\n<p><strong>A Berry-Esseen bound for the uniform multinomial occupancy model<\/strong><br \/>\nBartroff, J. and Goldstein, L.<br \/>\nElectronic Journal of Probability, (2013), vol 18, paper no. 27, 29 pp.<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1202.0909\">http:\/\/arxiv.org\/abs\/1202.0909<\/a>][<a href=\"http:\/\/ejp.ejpecp.org\/article\/view\/1983\">EJP<\/a>]<\/p>\n<p><strong>Clubbed Binomial Approximation for the Lightbulb Process<\/strong><br \/>\nGoldstein, L, and Xia, A.<br \/>\nProbability Approximations and Beyond, Springer (2012)<br \/>\nLecture Notes in Statistics, vol. 205, pp. 31-41.<br \/>\nBarbour, A, Chen, L.H.Y. and Siegmund D. (Editors)<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1111.3984\">http:\/\/arxiv.org\/abs\/1111.3984<\/a>][<a href=\"http:\/\/www.springer.com\/mathematics\/probability\/book\/978-1-4614-1965-5\">Springer<\/a>][<a href=\"http:\/\/www.amazon.com\/Probability-Approximations-Beyond-Lecture-Statistics\/dp\/1461419654\/ref=sr_1_1?s=books&amp;ie=UTF8&amp;qid=1330104562&amp;sr=1-1\">Amazon<\/a>]<\/p>\n<p><strong>Stochastic comparisons of symmetric sampling designs<\/strong><br \/>\nGoldstein, L., Rinott, Y., and Scarsini, M.<br \/>\nMethodology and Computing in Applied Probability (2012), vol 14, pp. 407-420<br \/>\n[<a href=\"http:\/\/link.springer.com\/article\/10.1007%2Fs11009-011-9213-3\">Springer Link<\/a>][<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/ssd.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<\/p>\n<p><strong>Concentration of measure for the number of isolated vertices in the Erd\u0151s-R\u00e9nyi <\/strong><strong>random graph by size bias couplings.<\/strong><br \/>\nGhosh, S., Goldstein, L. and Rai\u010d, M.<br \/>\nStatistics and Probability Letters (2011) vol 81, pp.1565-1570.<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1106.0048\">arxiv.org\/abs\/1106.0048<\/a>][<a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0167715211002045\">SPL<\/a>]<\/p>\n<p><strong>Zero Biasing and Jack Measures<\/strong><br \/>\nFulman, J., and Goldstein, L.<br \/>\nCombinatorics, Probability and Computing (2011), vol 20, pp. 753-762<br \/>\n[<a class=\"moz-txt-link-freetext\" href=\"http:\/\/arxiv.org\/abs\/1010.4759\">arxiv.org technical report]<\/a><span class=\"moz-txt-link-freetext\">[<a href=\"https:\/\/www.cambridge.org\/core\/journals\/combinatorics-probability-and-computing\/article\/zero-biasing-and-jack-measures\/A92B2799A11D8501BFBCFCA07C8D08FC\">CPC<\/a>]<\/span><\/p>\n<p><strong>Normal Approximation by Stein&#8217;s Method<\/strong><br \/>\nChen, L., Goldstein, L., and Shao, Q.M.<br \/>\nSpringer Verlag, 2010 [<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/errata.pdf\">errata<\/a>][<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/normal-approximation-by-steins-method-springer-series-in-probability-and-its-applications\/\">links<\/a>]<\/p>\n<p><strong>A Berry-Esseen bound with applications to vertex degree counts in the Erd\u0151s-R\u00e9nyi random graph<\/strong><br \/>\nGoldstein, L.<br \/>\nAnnals of Applied Probability (2013), vol 23, pp. 617-636.<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1005.4390\">arxiv.org\/abs\/1005.4390<\/a>] [<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/10\/AAP848.pdf\">AAP<\/a>][<a href=\"http:\/\/dx.doi.org\/10.1214\/12-AAP848\">Euclid<\/a>]<\/p>\n<p><strong>A Berry Esseen Theorem for the Lightbulb Process<\/strong><br \/>\nGoldstein, L., and Zhang, H.<br \/>\nAdvances in Applied Probability (2011) vol 43.3, pp. 875-898.<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1001.0612\">arxiv.org\/abs\/1001.0612<\/a>]<\/p>\n<p><strong>Applications of size biased couplings for concentration of measures<\/strong><br \/>\nGhosh, S., and Goldstein, L.<br \/>\nElectronic Communications in Probability (2011), vol 16, pp. 70-83.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/com.pdf\">pdf<\/a>][<a href=\"http:\/\/ecp.ejpecp.org\/article\/view\/1605\">ECP<\/a>]<\/p>\n<p><strong>Size bias, sampling, the waiting time paradox, and infinite divisibility: when is the increment independent?<\/strong><br \/>\nArratia, R., and Goldstein, L.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/csb.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<a href=\"http:\/\/arxiv.org\/abs\/1007.3910\">arXiv:1007.3910<\/a>]<\/p>\n<p><strong>On Optimal Allocation of a Continuous Resource Using an Iterative Approach and Total Positivity<\/strong><br \/>\nBartroff, J., Goldstein, L., Rinott, Y., and Samuel-Cahn, E.<br \/>\nAdvances in Applied Probability (2010), vol 42, pp. 795-815.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/bmb211209.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<a href=\"http:\/\/arxiv.org\/abs\/1103.0308\">arXiv:1103.0308<\/a>]<\/p>\n<p><strong>Concentration of measures via size biased couplings<\/strong><br \/>\nGhosh, S., and Goldstein, L.<br \/>\nProbability Theory and Related Fields, (2011), vol 149, pp. 271-278.<br \/>\n[<a href=\"http:\/\/www.springerlink.com\/content\/a6j33486126x1040\/\">10.1007\/s00440-009-0253-3<\/a>], tech report: [<a href=\"http:\/\/arxiv.org\/abs\/0906.3886\">arXiv:0906.3886<\/a>]<\/p>\n<p><strong>Stochastic comparisons of stratified sampling techniques for some Monte Carlo estimators<\/strong><br \/>\nGoldstein, L., Rinott, Y., and Scarsini, M.<br \/>\nBernoulli, (2011) vol 17, pp. 592-608.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/max.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<a href=\"http:\/\/arxiv.org\/abs\/1005.5414\">http:\/\/arxiv.org\/abs\/1005.5414<\/a>][<a href=\"http:\/\/projecteuclid.org\/DPubS?service=UI&amp;version=1.0&amp;verb=Display&amp;handle=euclid.bj\/1302009238\">Project Euclid<\/a>][<a href=\"http:\/\/dx.doi.org\/10.3150\/10-BEJ295\">Bernoulli<\/a>]<\/p>\n<p><strong>The Spend-it-all Region and Small Time results for the Continuous Bomber Problem<\/strong><br \/>\nBartroff, J., Goldstein, L., and Samuel-Cahn, E.<br \/>\nSequential Analysis (2010), vol 29, pp. 275-291.<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1007.3025\">http:\/\/arxiv.org\/abs\/1007.3025<\/a>]<\/p>\n<p><strong>Berry-Esseen<\/strong><strong> Bounds for Projections of Coordinate Symmetric Random Vectors<\/strong><br \/>\nGoldstein, L., and Shao, Q.<br \/>\nElectronic Communications in Probability (2009), vol 14, pp. 474-485.<br \/>\n[<a href=\"https:\/\/projecteuclid.org\/euclid.ecp\/1465234755\">ECP<\/a>]<\/p>\n<p><strong>Normal approximation for coverage models over binomial point processes<\/strong><br \/>\nGoldstein, L., and Penrose, M. D.<br \/>\nAnnals of Applied Probability (2010), vol 20, pp. 696-721.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/cov-1.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<a href=\"http:\/\/arxiv.org\/abs\/0812.3084\">arXiv:0812.3084<\/a>][<a href=\"http:\/\/projecteuclid.org\/DPubS?service=UI&amp;version=1.0&amp;verb=Display&amp;handle=euclid.aoap\/1268143437\">project Euclid<\/a>]<\/p>\n<p><strong>Bounds on the Constant in the Mean Central Limit Theorem<\/strong><br \/>\nGoldstein, L.<br \/>\n<a href=\"http:\/\/www.imstat.org\/aop\/\">Annals of Probability<\/a> (2010), vol 38, pp. 1672-1689.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/3pt-1.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<a href=\"http:\/\/arxiv.org\/abs\/0906.5145\">arXiv:0906.5145<\/a>]<\/p>\n<p><strong>Efficiency of the Maximum Partial Likelihood Estimator in Nested-Case Control Sampling<\/strong><br \/>\nGoldstein, L., and Zhang, H.<br \/>\nBernoulli (2009), vol 15, pp. 569-597.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/mmon.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<a href=\"http:\/\/arxiv.org\/abs\/0809.0445\">arXiv:0809.0445<\/a>][<a href=\"http:\/\/dx.doi.org\/10.3150\/08-BEJ162\">Euclid<\/a>][<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/10\/mmontr.pdf\">technical report<\/a>]<\/p>\n<p><strong>A Probabilistic Proof of the Lindeberg-Feller Central Limit Theorem<\/strong><br \/>\nGoldstein, L.<br \/>\nAmerican Mathematical Monthly (2009), vol 116, pp. 45&#8211;60<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/lin-1.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<a href=\"https:\/\/www.tandfonline.com\/doi\/abs\/10.1080\/00029890.2009.11920908\">AMM<\/a>]<\/p>\n<p><strong>L<\/strong><strong><sup>1<\/sup><\/strong><strong> Bounds in Normal Approximation<\/strong><br \/>\nGoldstein, L.<br \/>\nAnnals of Probability (2007), vol 35, pp. 1888&#8211;1930<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/L1bounds.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<a href=\"http:\/\/dx.doi.org\/10.1214\/009117906000001123\">Euclid<\/a>][<a href=\"http:\/\/arxiv.org\/abs\/0710.3262\">arXiv:0710.3262<\/a>]<\/p>\n<p><strong>Total Variation Distance for Poisson Subset Numbers<\/strong><br \/>\nGoldstein, L, and Reinert, G.<br \/>\nAnnals of Combinatorics (2006), vol 10, pp. 333&#8211;341<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/10\/poisson_subset.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<a href=\"http:\/\/dx.doi.org\/10.1007\/s00026-006-0291-9\">Springer<\/a>]<\/p>\n<p><strong>Functional BKR Inequalities, and their Duals, with Applications<\/strong><br \/>\nGoldstein, L, and Rinott, Y.<br \/>\nJour. Theor. Probab. (2007) , vol 20, pp. 275&#8211;293<br \/>\n[<a href=\"http:\/\/arxiv.org\/abs\/1508.07267\">arXiv:0710.3262<\/a>][<a href=\"http:\/\/dx.doi.org\/10.1007\/s10959-007-0068-z\">Springer<\/a>]<\/p>\n<p><strong>Zero Biasing and a Discrete Central Limit Theorem<\/strong><br \/>\nGoldstein, L, and Xia, A.<br \/>\nAnnals of Probability (2006), vol 34, pp. 1782&#8211;1806<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/dzb.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<a href=\"http:\/\/dx.doi.org\/10.1214\/009117906000000250\">[Euclid]<\/a>[<a href=\"http:\/\/arxiv.org\/abs\/math\/0509444\">arXiv:math\/0509444<\/a>]<\/p>\n<p><strong>Cohort Sampling Schemes for the Mantel-Haenszel Estimator<\/strong><br \/>\nGoldstein, L, and Langholz, B.<br \/>\nScandanavian Journal of Statistics (2007), vol. 34, pp. 137&#8211;154.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/cohort_sampling_schemes.pdf\">pdf<\/a>][<a href=\"http:\/\/www.blackwell-synergy.com\/doi\/pdf\/10.1111\/j.1467-9469.2006.00542.x\">Scand. Jour. Stat.<\/a>][<a href=\"http:\/\/arxiv.org\/abs\/math\/0609333v1\">arXiv:math\/0609333<\/a><a href=\"http:\/\/arxiv.org\/abs\/math\/0609333\">(tech report)<\/a>]<\/p>\n<p><strong>Zero Biasing in One and Higher Dimensions, and Applications<\/strong><br \/>\nGoldstein, L, and Reinert, G.<br \/>\nStein&#8217;s method and applications<br \/>\nInstitute for Mathematical Sciences Lecture Notes Series No. 5 (2005),<br \/>\nWorld Scientific Press, Singapore, pp. 1&#8211;18<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/mzb.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<\/p>\n<p><strong>Maximizing expected value with two stage stopping rules<br \/>\n<\/strong>Assaf, D., Goldstein, L., Samuel-Cahn, E.<br \/>\nRandom Walks, Sequential Analysis and Related Topics, World Scientific Press, Singapore, pp. 1&#8211;25<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/typeII.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<\/p>\n<p><strong>Optimal Two Choice Stopping on an Exponential Sequence<\/strong><br \/>\nGoldstein, L., Samuel-Cahn, E.<br \/>\nSequential Analysis (2006), vol 25, pp. 351&#8211;363.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/type-I.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<br \/>\n<strong><br \/>\nBerry Esseen Bounds for Combinatorial Central Limit Theorems and Pattern Occurrences, using Zero and Size Biasing<\/strong><br \/>\nGoldstein, L.<br \/>\nJournal of Applied Probability, (2005), vol 42, pp. 661&#8211;683.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/zsm.pdf\">pdf<\/a>][<a href=\"http:\/\/arxiv.org\/abs\/math\/0511510\">arxiv:math\/0511510<\/a>]<\/p>\n<p><strong>A Statistical Characterization of Regular Simplices<br \/>\n<\/strong>Abramson, I. and Goldstein, L.<br \/>\nAmer. Math. Monthly (2006) vol. 113, pp. 750-752<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/regular_simplices.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<br \/>\nCorrection: [<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/simplices-correction.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>], corrected version [<a href=\"http:\/\/arxiv.org\/abs\/math\/0612163\">arxiv:math\/0612163v2<\/a>]<br \/>\n<strong><br \/>\nNormal Approximation for Hierarchical Sequences<small> <\/small><br \/>\n<\/strong>Goldstein, L.<br \/>\n<em>Ann. Appl. Probab.<\/em> (2004), vol 14, pp. 1950-1969.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/hie.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<big><a href=\"http:\/\/arxiv.org\/abs\/math\/0503549\"><small>arxiv:math\/0503549<\/small><\/a><\/big>][<a href=\"https:\/\/projecteuclid.org\/euclid.aoap\/1099674084\">Euclid<\/a>]<\/p>\n<p><strong>Distributional transformations, orthogonal polynomials, and Stein characterizations<\/strong><br \/>\nGoldstein, L. and Reinert, G.<br \/>\nJour. Theor. Probab. (2005), vol 18, pp. 237-260.<br \/>\n(In Russian) Obozr. Prikl. Prom. Mat., (OP&amp;PM Surveys in Applied and Industrial Mathematics) 2006, v. 13, No. 1, pp. 28&#8211;50.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/distributional_transformations.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/distributional_transformations-russian.pdf\">[russian-pdf<\/a>][<big><a href=\"http:\/\/arxiv.org\/abs\/math\/0510240\"><small>arxiv:math\/0510240<\/small><\/a><\/big>]<\/p>\n<p><strong><br \/>\nA Permutation Test for Matching<\/strong><br \/>\nGoldstein, L. and Rinott, Y.<br \/>\n<a href=\"http:\/\/www.ams.org\/msnmain?fn=305&amp;pg1=CN&amp;s1=Metron&amp;v1=Metron\"><em>Metron<\/em><\/a> vol 61<strong><small>,<\/small><\/strong> (2003), <a href=\"http:\/\/www.ams.org\/msnmain?fn=130&amp;pg1=ISSI&amp;s1=218387&amp;v1=Metron%2E%20Rivista%20Internazionale%20di%20Statistica%20%5B%2061%20%282003%29%2C%20no%2E%203%5D\">no. 3,<\/a> pp. 375-388 (2004).<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/perm81-1.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<big><a href=\"http:\/\/arxiv.org\/abs\/math\/0511427\"><small>arxiv:math\/0511427<\/small><\/a><\/big>]<\/p>\n<p><strong>Two Choice <\/strong><strong>Optimal <\/strong><strong>Stopping<\/strong><br \/>\nAssaf, D., Goldstein, L., Samuel-Cahn, E.<br \/>\nAdv. Appl. Prob. vol 36, (2004), pp. 1116-1147<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/11656-1.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<a href=\"http:\/\/arxiv.org\/abs\/math\/0510242\">arxiv:math\/0510242<\/a>]<\/p>\n<p><strong>Local Central Limit Theorems, the High Order Correlations of Rejective Sampling, <\/strong><strong>and Applications to Conditional Logistic Likelihood Asymptotics<\/strong><br \/>\nAnnals of Statistics vol 33, (2005), pp. 871-914<br \/>\nArratia, R., Goldstein, L., Langholz, B.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/rem.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<a href=\"http:\/\/arxiv.org\/abs\/math\/0506300\">arxiv:math\/0506300<\/a>][<a href=\"https:\/\/projecteuclid.org\/euclid.aos\/1117114339\">Euclid<\/a>]<\/p>\n<p><strong>Information and Asymptotic Efficiency of the Case-Cohort Sampling Design in Cox&#8217;s Regression Model<\/strong><br \/>\nZhang, H., Goldstein, L.<br \/>\n<i>Journal of Multivariate Analysis<\/i> vol 85, (2003), pp. 292-317<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/infor.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<\/p>\n<p><strong>Ratio Prophet Inequalities when the Mortal has Several Choices<\/strong><br \/>\nAssaf, D., Goldstein, L., Samuel-Cahn, E.<br \/>\n<em>Ann. Appl. Probab.<\/em> vol 12, (2002), pp. 972-984<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/ratio.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<\/p>\n<p><strong>Conditional logistic analysis of case-control studies with complex sampling<\/strong><br \/>\nLangholz, B., and Goldstein, L.<br \/>\nBiostatistics, vol 2, (2001), pp. 63-84<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/cond.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<\/p>\n<p><strong>An unexpected connection between branching processes and optimal stopping.<\/strong><br \/>\nAssaf, D., Goldstein, L., Samuel-Cahn, E.<br \/>\n<i>Journal of Applied Probability, <\/i>vol. 37, (2000), pp. 613-626.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/surprising.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<a href=\"http:\/\/arxiv.org\/abs\/math\/0510587\">arxiv:math\/0510587<\/a>]<strong><br \/>\n<\/strong><\/p>\n<p><strong>Exposure stratified case-cohort studies<\/strong><br \/>\nBorgan, O., Langholz, B., Samuelson, S.O., Goldstein, L., Pogoda, J. <i><br \/>\nLifetime Data Analysis<\/i><strong>, <\/strong>vol. 6, (2000), pp. 39-58.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/caseco.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<\/p>\n<p><strong>Ascertainment correction in rate ratio estimation from case-sibling control studies of variable age-at-onset diseases<\/strong><br \/>\nLangholz, B., Thomas, D.C., Faucett, C., Huberman, M., Goldstein, L.<br \/>\n<i>Biometrics<\/i><strong>, <\/strong>vol. 55, (1999), pp. 1129-1136.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/asc.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<\/p>\n<p><strong>A statistical version of prophet inequalities<\/strong><br \/>\nAssaf, D., Goldstein, L., Samuel-Cahn, E. <i><br \/>\nAnnals of Statistics<\/i>, vol. 26, (1998), pp. 1190-1197.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/prf.pdf\">pdf<\/a>][<a href=\"https:\/\/projecteuclid.org\/euclid.aos\/1024691094\">Euclid<\/a>]<\/p>\n<p><strong>Stein&#8217;s Method and the Zero Bias Transformation with Application to Simple Random Sampling<\/strong><br \/>\nGoldstein, L.,and Reinert, G.<br \/>\n<i>Annals of Applied Probability, <\/i>vol. 7, (1997), pp. 935-952.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/zer.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>][<a href=\"http:\/\/arxiv.org\/abs\/math\/0510619\">arxiv:math\/0510619<\/a>][<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/zertr.pdf\">technical report<\/a>][<a href=\"https:\/\/projecteuclid.org\/euclid.aoap\/1043862419\">Euclid<\/a>]<\/p>\n<p><strong>A central limit theorem for the parsimony length of trees<\/strong><br \/>\nSteel, M., Goldstein, L., and Waterman, M.<br \/>\n<i>Advances in Applied Probability, <\/i>vol. 28, (1996), pp. 1051-1071.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/parsimony.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<\/p>\n<p><strong> Risk set sampling in epidemiologic cohort studies<\/strong><br \/>\nGoldstein, L., and Langholz, B.<br \/>\n<i> Statistical Science, <\/i>vol. 11, (1996), pp. 35-53.<br \/>\n[<a href=\"https:\/\/uscdornsife.usc.edu\/wp-assets\/221\/stn.dvi\">dvi<\/a>][<a href=\"https:\/\/projecteuclid.org\/euclid.ss\/1032209663\">Euclid<\/a>]<\/p>\n<p><strong> Multivariate normal approximations by Stein&#8217;s method and size bias couplings<\/strong><br \/>\nGoldstein, L. and Rinott, Y.<br \/>\n<i> Journal of Applied Probability, <\/i>vol 33, (1996), pp. 1-17.<br \/>\n[<a href=\"https:\/\/uscdornsife.usc.edu\/wp-assets\/221\/szb.dvi\">dvi<\/a>][<a href=\"http:\/\/arxiv.org\/abs\/math\/0510586\">arxiv:math\/0510586<\/a>]<\/p>\n<p><strong>Asymptotics for the maximum of half-normal plots<\/strong><br \/>\nGoldstein, L., and Gordon, L.<br \/>\n<i> Annals of Statistics,<\/i> vol 24, (1996), pp. 2250-2265.<\/p>\n<p><strong>Methods for the analysis of sampled cohort data in the Cox proportional hazards model.<\/strong><br \/>\nBorgan, O., Goldstein, L. and Langholz, B.<br \/>\n<i> Annals of Statistics,<\/i> vol 23, No. 5, (1995), pp.1749-1778.<br \/>\n[<a href=\"https:\/\/projecteuclid.org\/euclid.aos\/1176324322\">Euclid<\/a>][<a href=\"https:\/\/uscdornsife.usc.edu\/wp-assets\/221\/scd.dvi\">dvi<\/a>]<\/p>\n<p><strong>On efficient estimation of smooth functionals<\/strong><br \/>\nGoldstein, L.,and Khasminskii,R.<i>Theory of Probability and Applications, <\/i>vol.40, No.1, (1995), pp. 199-205.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/smo.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<\/p>\n<p><strong>Poisson, Compound Poisson and Process approximations for testing statistical significance in sequence comparisons<\/strong><br \/>\nGoldstein, L. and Waterman, M.<br \/>\nBulletin of Mathematical Biology, vol. 54, No. 5, (1992) pp. 785-812.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/compound_poisson.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<\/p>\n<p><strong>Approximations to profile score distributions.<\/strong><br \/>\nGoldstein, L. and Waterman, M.<br \/>\n<i>Journal of Computational Biology,<\/i> vol. 1, No. 1 (1994), pp. 93-104.<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/profile-1.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<\/p>\n<p><strong>Asymptotic Theory for Nested Case-Control Sampling in the Cox Regression Model <\/strong>Goldstein, L. and Langholz, B.<br \/>\nThe Annals of Statistics, Vol. 20, No. 4. (Dec., 1992), pp. 1903-1928.<\/p>\n<p>Efficient nonparametric testing by functional estimation<br \/>\nAbramson, I. and Goldstein, L.<br \/>\nJournal of Theoretical Probability, vol. 4, No. 1 (1991) pp. 137-159.<\/p>\n<p><strong> Poisson Approximation and the Chen-Stein Method<br \/>\n<\/strong>Arratia; R., Goldstein, L. and Gordon, L.<br \/>\nStatistical Science, Vol. 5, No. 4. (Nov., 1990), pp. 403-424.<strong><br \/>\n<\/strong> [<a href=\"http:\/\/www.ams.org\/mathscinet\/search\/publdoc.html?arg3=&amp;co4=AND&amp;co5=AND&amp;co6=AND&amp;co7=AND&amp;dr=all&amp;pg4=AUCN&amp;pg5=AUCN&amp;pg6=TI&amp;pg7=ALLF&amp;pg8=ET&amp;review_format=html&amp;s4=Goldstein%2C%20l*&amp;s5=arratia&amp;s6=&amp;s7=&amp;s8=All&amp;vfpref=html&amp;yearRangeFirst=&amp;yearRangeSecond=&amp;yrop=eq&amp;r=2&amp;mx-pid=1092983\">MR1092983<\/a>] [<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/pacs-1.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<\/p>\n<p><strong>[Poisson Approximation and the Chen-Stein Method]: Rejoinder<\/strong><br \/>\nArratia, R., Goldstein, L., and Gordon, L.<br \/>\nStatistical Science, Vol. 5, No. 4. (Nov., 1990), pp. 432-434.<\/p>\n<p><strong>Two Moments Suffice for Poisson Approximations: The Chen-Stein Method<br \/>\n<\/strong>Arratia, R., Goldstein, L., and Gordon, L.<br \/>\nThe Annals of Probability, Vol. 17, No. 1. (Jan., 1989), pp. 9-25.<br \/>\n[<a href=\"http:\/\/www.ams.org\/mathscinet\/search\/publdoc.html?arg3=&amp;co4=AND&amp;co5=AND&amp;co6=AND&amp;co7=AND&amp;dr=all&amp;pg4=AUCN&amp;pg5=AUCN&amp;pg6=TI&amp;pg7=ALLF&amp;pg8=ET&amp;review_format=html&amp;s4=Goldstein%2C%20l*&amp;s5=arratia&amp;s6=&amp;s7=&amp;s8=All&amp;vfpref=html&amp;yearRangeFirst=&amp;yearRangeSecond=&amp;yrop=eq&amp;r=3&amp;mx-pid=972770\">MR0972770<\/a>] [<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/AGG-1.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<br \/>\n<strong><br \/>\nMean square rates of convergence in the continuous time simulated annealing algorithm in R<sup>d<\/sup><\/strong><br \/>\nGoldstein, L.<br \/>\nAdvances in Applied Mathematics, vol. 9, (1988) , pp. 35-39.<\/p>\n<p>On the choice of step size in the Robbins Monro procedure<br \/>\nGoldstein, L.<br \/>\nStatistics and Probability Letters, vol. 6, (1988), pp. 299-303.<\/p>\n<p>Minimizing noisy functionals in Hilbert space: An extension of the Kiefer Wolfowitz procedure.<br \/>\nGoldstein, L.<br \/>\nJournal of Theoretical Probability, vol. 1, No. 2, (1988), pp. 189-204.<\/p>\n<p>Mapping DNA by stochastic relaxation<br \/>\nGoldstein, L., Waterman, M. <i><br \/>\nAdvances in Applied Mathematics, <\/i>vol. 8, (1987), pp. 194-207<br \/>\n[<a href=\"https:\/\/dornsife.usc.edu\/larry-goldstein\/wp-content\/uploads\/sites\/221\/2023\/06\/mapping.pdf\" target=\"_blank\" rel=\"noopener\">pdf<\/a>]<\/p>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":370,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-365","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - 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