USC.edu

Larry Goldstein

Professor of Mathematics
Email larry@math.usc.edu Office KAP 406D Office Phone (213) 740-2405

Education

  • Ph.D. Mathematics, University of California, San Diego, 6/1984

  • Summary Statement of Research Interests

    Professor Goldstein’s research is focused on Stein’s method in statistics and distributional approximation, concentration inequalities, sampling schemes, mathematical molecular biology and optimal stopping.

  • Contracts and Grants Awarded

    • Estimating BrAC/BAC from Transdermal Alcohol, (National Institute on Alcohol Abuse and Alcoholism), Susan Luczak $2,590,826, 2017-2023
    • A French/American Collaborative Colloquium on Probability and Statistics: Concentration Inequalities, (Borchard Foundation), J. Bartroff, L. Goldstein, S. Minsker $30,000, 2017-2018
    • Approximation of Extremes, (Gruppo Nazionale per il Calcolo Scientifico,Italia), Larry Goldstein $2,000, 2016-2017
    • Contemporary applications of Malliavin Stein methods, (National Security Agency), Larry Goldstein $80,000, 2016-2017
    • New Directions in Stein’s Method, (National Security Agency), Larry Goldstein $120,266, 2010-2013
    • Senior Research Visitor Grant, Keble Advanced Studies Centre, (Keble College, Oxford), Larry Goldstein $3,150, 2012-2013
    • Visiting Professor Grant, (LUISS University, Rome Italy), Larry Goldstein $8,600, 2011-2012

    USC Funding

    • Faculty Development Grant. Coupling Methods for Concentration of Measure Inequalities $3,500, 2012-2013
    • Faculty Development Grant. The characterizing equation method for distributional approximation $2,500, 2008-2011

  • Conference Presentations

    • “Zero Bias Enhanced Stein Couplings” , Stein’s Method: The Golden AnniversaryTalk/Oral Presentation, Institute for Mathematical Science, Singapore, Invited, National University of Singapore, 2022-2023
    • “Dickman approximation in quickselect sorting and probabilistic number theory” , Symposium in Memory of Charles Stein [1920 – 2016]Talk/Oral Presentation, Institute of Mathematical Sciences, Singapore, Invited, National University of Singapore, 2019-2020
    • “Single index models and non-linear compressed sensing in the non-Gaussian case via Stein type discrepancies” , Symposium in Memory of Charles Stein [1920 – 2016]Talk/Oral Presentation, Institute of Mathematical Sciences, Singapore, Invited, National University of Singapore, 2019-2020
    • “The Many Faces of a Simple Identity” , International Conference on Machine LearningLecture/Seminar, ICML, Invited, Long Beach, 2019-2020
    • “Charlas sobre el Método de Stein” , XVI Escuela de Probabilidad y EstadisticaTalk/Oral Presentation, Invited, Centro de Investigación en Matemáticas, Guanajuato, Mexico, 2017-2018
    • “Steining the Steiner Formula” Lecture/Seminar, Department of Statistics, Invited, University of British Columbia, Vancouver Canada, 2017-2018
    • “Non-Gaussian Observations in Nonlinear Compressed Sensing via Stein Discrepancies” , Borchard International Colloquium on Concentration Inequalities, High Dimensional StatisticsTalk/Oral Presentation, Borchard Foundation, Invited, Chateau de la Bretesche, Missillac, Loire-Atlantique, France, 2016-2017
    • “Normal Approximation for Recovery of Structured Unknowns in High Dimension: Steining the Steiner formula” , Random processes and Time Series: Theory and Applications. A Conference in honor of Murray RosenblaTalk/Oral Presentation, Invited, University of Californa, San Diego, 2016-2017
    • “Recovery of structured unknowns in High Dimension: Steining the Steiner formula” Lecture/Seminar, Department of Mathematics, Invited, University of California, Irvine, 2016-2017
    • “The Spectral Gap of Random Regular Graphs and Size Biased Couplings” , World Congress in Probability and StatisticsTalk/Oral Presentation, Invited, Toronto, Canada, 2016-2017
    • “The Spectral Gap of Random Regular Graphs and Size Biased Couplings” Lecture/Seminar, University of Cincinnati, Invited, Department of Mathematics, 2016-2017
    • “Some progress using Stein’s method for strong embeddings” , Workshop on New Directions in Stein’s MethodTalk/Oral Presentation, Institute for Mathematical Sciences, Invited, Singapore, 2015-2016
    • ” Stein’s Method: Distributional Approximation and Concentration of Measure, I” , 36th Midwest Probability ColloquiumTalk/Oral Presentation, Northwestern University, Invited, Evanston, IL, 2014-2015
    • “Concentration and Stein Couplings” , International Colloquium on Stein’s Method, Concentration Inequalities, and Malliavin CalculusLecture/Seminar, Borchard Foundation, Invited, Chateau de la Bretesche, Missillac, Loire-Atlantique, France, 2014-2015
    • “Normal approximation for recovery of structured unknowns in high dimension: Steining the Steiner formula” , IMA Annual Program Year Workshop, Information Theory and Concentration PhenomenaTalk/Oral Presentation, Institute for Mathematics and its Applications, Invited, University of Minnesota, 2014-2015
    • “Rank Distribution of Random Matrices over Finite Fields by Stein’s Method” , IWAP 2014Talk/Oral Presentation, International Workshop in Applied Probability, Invited, Antalya, Turkey, 2014-2015
    • “Stein’s Method for the Beta distribution with Application to the Polya Urn” , IWAP 2014Talk/Oral Presentation, International Workshop in Applied Probability, Invited, Antalya, Turkey, 2014-2015
    • “Stein’s Method: A Biased View” , Limit theorems in dynamics and applicationsTalk/Oral Presentation, International de Rencontres Mathematiques, , Invited, Marseille, France, 2014-2015
    • “Stein’s Method: Distributional Approximation and Concentration of Measure, II” , 36th Midwest Probability ColloquiumTalk/Oral Presentation, Northwestern University, Invited, Evanston, IL, 2014-2015
    • “Semi-parametric efficiency bounds for the Maximum Partial Likelihood Estimator in Nested-Case Control Sampling” Talk/Oral Presentation, International Society for Non Parametric Statistic, Invited, Chalkidiki, Greece, 2012-2013
    • “The Inductive Method, Unbounded Couplings and Stein’s Method” , 8th World Congress in Probability and StatisticsTalk/Oral Presentation, Institute of Mathematical Statistics, Bernoulli So, Invited, Istanbul, Turkey, 2012-2013
    • “A Berry-Esseen Theorem for the Lightbulb Process” , Probability Approximations and Beyond: A conference in honour of Louis Chen on his 70th birthdayTalk/Oral Presentation, National University of Singapore, Invited, Singapore, 06/25/2010 – 06/27/2010
    • “A Gentle Introduction to Stein’s Method for normal approximation” , Progress in Stein’s MethodLecture/Seminar, National University of Singapore, Invited, Singapore, Spring 2009
    • “Bounds on the Constant in the Mean Central Limit Theorem” , Progress in Stein’s MethodLecture/Seminar, National University of Singapore, Invited, Singapore, Spring 2009
    • “L1 bounds in normal approximation” , Progress in Stein’s MethodLecture/Seminar, National University of Singapore, Invited, Singapore, Spring 2008
    • “A Curious Connection Between Optimal Stopping and Branching Processes” , Conference in honor of Professor Ester Samuel-CahnTalk/Oral Presentation, Hebrew University, Jerusalem Israel, Invited, Jerusalem, Israel, Fall 2006
    • “Mantel-Haenszel Type Estimators and Cohort Sampling” , Analysis of Complex Event History DataTalk/Oral Presentation, University of Oslo, Norway, Invited, Oslo, Noway, Fall 2005
    • “Zero Biasing and Combinatorial Central Limit Theorems” , Southern Califormia Probability SymposiumTalk/Oral Presentation, Invited, Irvine, CA, Fall 2005
    • “Counter Matching and Genetic Susceptibility to Radiation Induced Breast Cancer” , Joint Meeting China Society of Probability and StatisticsTalk/Oral Presentation, Invited, Beijing, China, Spring 2005

    Other Presentations

    • “Classical and Free Zero Bias for Infinite Divisibility”, Seminar, Columbia University, 2022-2023
    • “Classical and Free Zero Bias for Infinite Divisibility”, Seminar, New York, 2022-2023
    • “Relaxing Gaussian Assumptions in High Dimensional Statistical Procedures”, Statistics Seminar, Turin, Italy, 2022-2023
    • “Zero Bias Enhanced Stein Couplings”, Math Finance and Probability Seminar, Vienna, 2022-2023
    • “Relaxing Gaussian Assumptions in High Dimensional Statistical Procedures”, Seminar, University of Minnesota , 2021-2022
    • “Ordenación y la aproximación de Dickman para el algoritmo Quickselect”, Seminar, https://sites.google.com/sigma.iimas.unam.mx/sph/, 2020-2021
    • “Relaxing Gaussian Assumptions in High Dimensional Statistical Procedures”, Seminar, http://www.mathematik.tu-dortmund.de/lsix/lehre/WiSe2021/GRK-Seminar/index.php, 2020-2021
    • “Dickman Approximation for Quickselect sorting, and by Stein’s Method in Number theory”, Seminar, New York, 2019-2020
    • “Nonlinear Compressed Non-Gaussian Sensing via Stein Discrepancies”, Seminar, New York, 2019-2020
    • “Dickman Approximation for Quickselect sorting, and by Stein’s Method in Number theory”, Seminar, Bangkok, Thailand, 2018-2019
    • “Dickman Approximation for Quickselect sorting, and by Stein’s Method in Number theory “, Seminar, La Jolla, CA, 2018-2019
    • “Stein Identies in Statistics and Probability”, Workshop Seminar, San Jose, California, 2018-2019
    • “Non asymptotic distributional bounds for the Dickman approximation of the running time of the Quickselect algorithm”, Seminar, Bochum, Germany, 2017-2018
    • “Non asymptotic distributional bounds for the Dickman approximation of the running time of the Quickselect algorithm “, Seminar, USC, 2017-2018
    • “Stein’s Method for distributional approximation and concentration, a biased view”, Departmental Colloquium, Georgia Tech, 2017-2018
    • “Steining the Steiner formula”, Statistics Seminar, University of Southern California, Los Angels, 2017-2018
    • “A lenient BKR operation for events occurring for disjoint reasons”, Combinatorics Seminar, Los Angles, CA , 2016-2017
    • “Adventures in Mathematical Consulting”, Seminar, University of Cincinnati, 2015-2016
    • “Normal approximation for recovery of structured unknowns in high dimension: Steining the Steiner formula “, Seminar, University of Cincinnati, 2015-2016
    • “Applications of Stein Couplings for Concentration of Measure”, Seminar, Vienna, Austria, 2014-2015
    • “Gaussian Phase Transitions and Conic Intrinsic Volumes: Steining the Steiner formula”, Seminar, Columbia University, New York, 2014-2015
    • “Normal Approximation for Conic Intrinsic Volumes: Steining the Steiner formula”, Seminar, University of Luxembourg, 2014-2015
    • “Normal approximation for recovery of structured unknowns in high dimension: Steining the Steiner formula”, Seminar, Salerno, Italy, 2014-2015
    • “Normal approximation for recovery of structured unknowns in high dimension: Steining the Steiner formula”, Seminar, Rome, Italy, 2014-2015
    • “Normal approximation for recovery of structured unknowns, Gaussian projections and conic intrinsic volumes: Steining the Steiner formula”, Seminar, UCLA, 2014-2015
    • “Stein Couplings, Log Concavity and Concentration of Measure”, IMA annual program seminar , University of Minnesota, 2014-2015
    • “Stein’s method and the rank distribution of random matrices over finite fields”, Probability Seminar, University of Minnesota, 2014-2015
    • “Normal Approximation for Conic Intrinsic Volumes: Steining the Steiner formula”, Probability and Statistics Seminar, USC, 2014-2015
    • “Adventures in Mathematical Consulting”, Seminar, LUISS Guido Carli Universita, Rome, Italy, 2013-2014
    • “Applications of Bounded Size and Zero Bias Couplings for Concentration of Measure”, Seminar, Singapore, 2013-2014
    • “Stein Couplings for Concentration of Measure”, Seminar, Irvine, California, 2013-2014
    • “Stein’s Method for the Beta distribution with Application to the Pólya Urn”, Seminar, Singapore, 2013-2014
    • “Concentration of Measures by Size Bias Couplings”, Seminar, Oxford University, 2012-2013
    • “Adventures in Mathematical Consulting”, Seminar, University of the Pacific, 2011-2012
    • “Bounds on the Constant in the Mean Central Limit Theorem”, Seminar, Rome, Italy, 2011-2012
    • “Concentration of Measures by Bounded Size Bias Couplings”, Seminar, LUISS Guido Carli Universita, Rome, Italy, 2011-2012
    • “Concentration of Measures by Bounded Size Bias Couplings”, Seminar, University of Southern California, 2011-2012
    • “Cohort Studies with Complex Sampling”, Seminar, Univeristy of California, Los Angeles, 2010-2011
    • “Concentration of Measures by Bounded Size Bias Couplings”, Seminar, Univeristy of California, Berkeley, 2010-2011
    • “Stein’s method for the lightbulb process”, Seminar, University of California, Irvine, 2009-2010
    • “El Método de Stein y algunas Aplicaciones”, Seminar, Guanajuato, Mexico, 2008-2009
    • “L1 bounds in normal approximation”, Seminar, Rome, Italy, 2008-2009
    • “Stein’s method and some applications”, Seminar, Bologna, Italy, 2008-2009
    • “Efficiency of the Maximum Partial Likelihood Estimator for”, Probability and Statistics seminar, USC, 2007-2008
    • “Tentative Extensions of a Curious Connection”, Statistics Seminar, Rome, Italy, 2006-2007
    • “Cohort Studies with Complex Sampling”, Biostatistics Seminar, La Jolla, CA, 2005-2006
    • “Odds, Insurance, and Size Biasing in a Promotional Sweepstakes”, Seminar, Department of Mathematics, University of Southern California, 2005-2006
    • “Sampling Case Control Studies over time”, Statistics Seminar, Oxford, UK, 2005-2006
    • “Hierarchical Models and the Diamond Lattice”, Seminar, East China Normal University, Shanghai, 2004-2005
    • “Zero Biasing and the Diamond Lattice”, Statistics Seminar, Jerusalem, Israel, 2004-2005
    • “Zero Biasing and the Diamond Lattice”, Statistics Seminar, Berkeley, CA, 2004-2005
    • American Institute of Mathematics, Conference on Stein’s Method and Applications in High-dimensional Statistics. J. Bartroff, L. Goldstein and S. Minsker Co-organizers

  • Book

    • Chen, L., Goldstein, L., Qi-Man, S. (2010). Normal approximation by Stein’s method. Springer. Amazon

    Book Chapter

    • Goldstein, L., Xia, A. (2012). Clubbed Binomial Approximation for the Lightbulb Process. Probability Approximations and Beyond, pp. 31-41. Springer. Springer Link
    • Goldstein, L., Samuel-Cahn, E. (2006). Maximizing expected value with two stage stopping rule. pp. p.1-25. USA, UK, Singapore: Random Walks, Sequential Analysis and Related Topics/World Scientific.
    • Goldstein, L., Reinert, G. (2005). Zero Biasing in One and Higher Dimensions, and Applications. (Vol. 5) pp. 1-18. USA, UK, Singapore: Institute for Mathematical Sciences Lecture Notes/ World Scientific.

    Journal Article

    • Goldstein, L. (2022). Zero Bias Enhanced Stein Couplings. Electronic Journal of Probability. Vol. 27 (paper no. 62), pp. 1-13. arXiv
    • Goldstein, L., Langholz, B. (2022). Analysis and asymptotic theory for nested case–control designs under highly stratified proportional hazards models. Lifetime Data Analysis. DOI
    • Fathi, M., Goldstein, L., Reinert, G., Saumard, A. (2022). Relaxing the Gaussian assumption in Shrinkage and SURE in high dimension. Annals of Statistics. Vol. 50 (4), pp. 2732–2766. Euclid
    • Goldstein, L. (2021). The Game of Poker Chips, Dominoes and Survival. Recreational Mathematics Magazine. Vol. 8 (14), pp. 91-104. Arxiv
    • Chen, L., Goldstein, L., Roellin, A. (2020). Stein’s Method via Induction. Electronic Journal of Probability. Vol. 25 (paper 132), pp. 1-49. Arxiv
    • Goldstein, L., Bhattacharjee, C. (2019). Dickman approximation in simulation, summations and perpetuities. Bernoulli. Vol. 25, No 4A, pp. 2758–2792. arXiv
    • Arratia, R., Goldstein, L., Kochman, F. (2019). Size bias for one and all. Probability Surveys. Vol. 16, pp. 1-61. arXiv
    • Goldstein, L. (2018). Non asymptotic distributional bounds for the Dickman approximation of the running time of the Quickselect algorithm. Electronic Journal of Probability. Vol. 23, pp. 1–13. arXiv
    • Goldstein, L., Wei, X. (2018). Non-Gaussian Observations in Nonlinear Compressed Sensing via Stein Discrepancies. Information and Inference: A Journal of the IMA. Vol. iay006 https://doi.org/10.1093/imaiai/iay006
    • Goldstein, L., Minsker, S., Wei, X. (2018). Structured signal recovery from non-linear and heavy-tailed measurements. IEEE Transactions on Information Theory. Vol. 64 (8), pp. 5513-5530. arXiv
    • Bartroff, J., Goldstein, L., Islak, Ü. (2018). Bounded size biased couplings, log concave distributions and concentration of measure for occupancy models. Bernoulli. Vol. 24 (No. 4B), pp. 3283-3317. arXiv
    • Goldstein, L., Johnson, T., Lachiez-Rey, R. (2018). Bounds to the normal for proximity region graphs. Stochastic Processes and their Applications. Vol. 4, pp. 1208–1237.. arXiv
    • Goldstein, L., Wiroonsri, N. (2018). Stein’s method for positively associated random variables with applications to Ising, percolation and voter models. Annales de l’Institut Henri Poincaré. Vol. 54, pp. 385–421. arXiv
    • Cook, N., Goldstein, L., Johnson, T. (2018). Size biased couplings and the spectral gap for random regular graphs. Annals of Probability. Vol. 46, pp. 72-125. arXiv
    • Goldstein, L., Rinott, Y. (2018). A BKR operation for events occurring for disjoint reasons with high probability. Methodology and Computing in Applied Probability. arXiv
    • Goldstein, L., Nourdin, I., Peccati, G. (2017). Gaussian Phase Transition and Conic Intrinsic Volumes: Steining the Steiner Formula. Annals of Applied Probability. Vol. 27, pp. 1-47. arXiv
    • Chen, C., Gribble, M., Bartroff, J., Bay, S., Goldstein, L. (2017). The sequential probability ratio test: An efficient alternative to exact binomial testing for clean water act 303(d) evaluation. Journal of Environmental Management. Vol. 192, pp. 89–93.
    • Bhattacharjee, C., Goldstein, L. (2016). On Strong Embeddings by Stein’s Method. Electronic Journal of Probability. Vol. 21, pp. 30. arXiv
    • Fulman, J., Goldstein, L. (2015). Stein’s method and the rank distribution of random matrices over finite fields. Annals of Probability. Vol. 43, pp. 1274–-1314. arXiv
    • Goldstein, L., Islak, U. (2014). Concentration inequalities via zero bias couplings. Statistics and Probability Letters. Vol. 86, pp. 17-23. arXiv
    • Goldstein, L., Reinert, G. (2013). Stein’s method for the Beta distribution and the Polyà-Eggenberger Urn. Journal of Applied Probability. Vol. 50, pp. 1187-1205. arXiv
    • Goldstein, L. (2013). A Berry-Esseen bound with applications to counts in the Erdös-Rènyi random graph. Annals of Applied Probability. Vol. 23, pp. 617-636. arXiv
    • Bartroff, J., Goldstein, L. (2013). A Berry-Esseen bound for the uniform multinomial occupancy model. Electronic Journal of Probability. Vol. 18, article 27, pp. 1-29. arXiv
    • Goldstein, L., Rinott, Y., Scarsini, M. (2012). Stochastic comparisons of symmetric sampling designs. Methodology and Computing in Applied Probability. Vol. 14, pp. 407-420. Springer Link
    • Goldstein, L., Zhang, H. (2011). A Berry Esseen Theorem for the Lightbulb Process. Advances in Applied Probability. Vol. 43.3, pp. 875-898. arXiv
    • Ghosh, S., Goldstein, L., Raic, M. (2011). Concentration of measure for the number of isolated vertices in the Erdös-Rènyi random graph by size bias couplings. Statistics and Probability Letters. Vol. 81, pp. 1565-1570. arXiv
    • Fulman, J., Goldstein, L. (2011). Zero biasing and Jack measures. Combinatorics, Probability and Computing. Vol. 20, pp. 753-762. Combinatorics, Probability and Computing
    • Goldstein, L., Rinott, Y., Scarsini, M. (2011). Stochastic comparisons of stratified sampling techniques for some Monte Carlo estimators. Bernoulli. Vol. 17 (2), pp. 592-608. Project Euclid
    • Ghosh, S., Goldstein, L. (2011). Concentration of measures via size biased couplings. Probability Theory and Related Fields. Vol. 149, pp. 271-278. Springer Link
    • Ghosh, S., Goldstein, L. (2011). Applications of size biased couplings for concentration of measures. Electronic Communications in Probability. Vol. 16, pp. 70-83. Electronic Communications in Probability
    • Bartroff, J., Goldstein, L., Rinott, Y., Cahn, E. S. (2010). On Optimal Allocation of a Continuous Resource Using an Iterative Approach and Total Positivity. Advances in Applied Probability. Vol. 42, pp. 795-815. Publications
    • Bartroff, J., Goldstein, L., Samuel Cahn, E. (2010). Small time asymptotics of the bomber problem. Sequential Analysis. Vol. 29, pp. 275-291. Publications
    • Goldstein, L. (2010). Bounds on the Constant in the Mean Central Limit Theorem. Annals of Probability. Vol. 38 (4), pp. 1672-1689. arXiv
    • Goldstein, L., Penrose, M. (2010). Normal approximation for coverage models over binomial point processes. Annals of Applied Probability. Vol. 20, pp. 696-721. arXiv
    • Goldstein, L., Shao, Q. (2009). Berry-Esseen Bounds for Projections of Coordinate Symmetric Random Vectors. Electronic Communications in Probability. Vol. 14, pp. 474-485.
    • Goldstein, L., Zhang, H. (2009). Efficiency of the Maximum Partial Likelihood Estimator for Nested-Case Control Sampling. Bernoulli. Vol. 15, pp. 569-597. Project Euclid
    • Goldstein, L. (2009). A Probabilistic Proof of the Lindeberg-Feller Central Limit Theorem. American Mathematical Monthly/American Mathematical Society. Vol. 116, pp. 45-60.
    • Goldstein, L., Rinott, Y. (2007). Functional BRK Inequalities, and their Duals, with Applications. Journal of Theoretical Probability. Vol. 20, pp. 275–293.
    • Goldstein, L. (2007). L^1 Bounds in Normal Approximation. Annals of Probability. Vol. 35, pp. 1888-1930. arXiv
    • Goldstein, L., Langholz, B. (2007). Cohort Sampling Schemes for the Mantel-Haenszel Estimator. Scandinavian Journal of Statistics/Blackwell Publishers. Vol. 34, pp. 137–154..
    • Goldstein, L., Samuel-Cahn, E. (2006). Optimal Two Choice Stopping on an Exponental Sequence. Sequential Analysis/Marcel Dekker. (25), pp. 351–363.
    • Goldstein, L., Xia, A. (2006). Zero Biasing and a Discrete Central Limit Theorem. Annals of Probability. Vol. 34, pp. 1782-1806. arXiv
    • Goldstein, L., Reinert, G. (2006). Total Variation Distance for Poisson Subset Numbers. Annals of Combinatorics. Vol. 10, pp. 333-341. Springer Link
    • Assaf, D., Goldstein, L., Samuel Cahn, E. (2006). Maximizing expected value with two stage stopping rules.
    • Abramson, I., Goldstein, L. (2006). A Statistical Characterization of Regular Simplices. American Mathematical Monthly/American Mathematical Society. Vol. 113, pp. 750-752. arXiv
    • Goldstein, L. (2005). Berry Esseen Bounds for Combinatorial Central Limit Theorems and Pattern Occurrences, using Zero and Size Biasing. Journal of Applied Probability. Vol. 42, pp. 661-683. arXiv
    • Arratia, R., Goldstein, L., Langholz, B. (2005). Local Central Limit Theorems, the High Order Correlations of Rejective Sampling, and Applications to Conditional Logistic Likelihood Asymptotics. Annals of Statistics. Vol. 33, pp. 871-914. arXiv
    • Goldstein, L., Reinert, G. (2005). Distributional Transformations, Orthogonal Polynomials, and Stein Characterizations. Journal of Theoretical Probability. Vol. 18, pp. 185-208..
    • Goldstein, L., Assaf, D., Samuel-Cahn, E. (2004). Two Choice Optimal Stopping. Advances in Applied Probability. Vol. 36, pp. 1116-1147.
    • Goldstein, L. (2004). Normal Approximation for Hierarchical Sequences. Annals of Applied Probability. Vol. 14, pp. 1950-1969. arXiv
    • Goldstein, L., Rinott, Y. (2003). A Permutation Test for Matching. Metron – International Journal of Statistics. Vol. vol 61 (no. 3), pp. pp. 375-388.
    • Goldstein, L., Zhang, H. (2003). Information and Asymptotic Efficiency of the Case-Cohort Sampling Design in Cox’s Regression Model. Journal of Multivariate Analysis/Academic Press. Vol. 85, pp. 292-317.
    • Goldstein, L., Assaf, D., Samuel-Cahn, E. (2002). Ratio Prophet Inequalities when the Mortal has Several Choices. Annals of Applied Probability. Vol. 12, pp. 972-984.
    • Goldstein, L., Langholz, B. (2001). Conditional logistic analysis of case-control studies with complex sampling. Biostatistics/Oxford University Press. Vol. 2, pp. 63-84.
    • Ghosh, S., Goldstein, L. (2000). Concentration of measures via size biased couplings. Probability Theory and Related Fields.
    • Assaf, D., Goldstein, L., Samuel-Cahn, E. (2000). An Unexpected Connection between Branching Processes and Optimal Stopping. J. Appl. Probab.. Vol. 37 (3), pp. 613-626. arXiv
    • Borgan, O., Langholz, B., Samuelsen, S. O., Goldstein, L., Pagoda, J. (2000). Exposure stratified case-cohort studies. Lifetime Data Analysis. Vol. 6, pp. 39-58.
    • Langholz, B., Thomas, D., Faucett, C., Huberman, M., Goldstein, L. (1999). Ascertainment correction in rate ratio estimation from case-sibling control studies of variable age-at-onset diseases. Biometrics. Vol. 55, pp. 1129-1136.
    • Goldstein, L., Reinert, G. (1997). Stein’s Method and the Zero Bias Transformation with Application to Simple Random Sampling. Ann. Appl. Probab.. Vol. 7 (4), pp. 935–952. arXiv
    • Steel, M., Goldstein, L., Waterman, M. (1996). A central limit theorem for the parsimony length of trees. Advances in Applied Probability. Vol. 28, pp. 1051-1071.
    • Goldstein, L., Gordon, L. (1996). Asymptotics for the maximum of half-normal plots. Annals of Statistics. Vol. 24, pp. 2250-2265.
    • Goldstein, L., Rinott, Y. (1996). Multivariate normal approximations by Stein’s method and size bias couplings. Journal of Applied Probability, vol 33, (1996), pp. 1-17.. Vol. 33, pp. 1-17. arXiv link
    • Goldstein, L., Langholz, B. (1996). Risk Set Sampling in Epidemiologic Cohort Studies. Institute of Mathematical Statistics. Vol. 11, pp. 35-53.
    • Goldstein, L., Khasminskii, R. (1995). On efficient estimation of smooth functionals. Theory of Probability and Applications. Vol. 40 (1), pp. 199-205.
    • Borgan, O., Goldstein, L., Langholz, B. (1995). Methods for the Analysis of Sampled Cohort Data in the Cox Proportional Hazards Model. Annals of Statistics. Vol. vol. 23 (no. 5), pp. pp. 1749-1778.
    • Goldstein, L., Waterman, M. (1994). Approximations to profile score distributions. Journal of Computational Biology. Vol. 1 (1), pp. 93-104.
    • Goldstein, L., Waterman, M. (1992). Poisson, Compound Poisson and Process approximations for testing statistical significance in sequence comparisons. Bulletin of Mathematical Biology. Vol. 54 (5), pp. 785-812.
    • Abramson, I., Goldstein, L. (1991). Efficient nonparametric testing by functional estimation. Journal of Theoretical Probability. Vol. 4 (1), pp. 137-159.
    • Arratia, R., Goldstein, L., Gordon, L. (1989). Two Moments Suffice for Poisson Approximations: The Chen-Stein Method. The Annals of Probability. Vol. 17 (1), pp. 9-25.
    • Goldstein, L. (1988). On the choice of step size in the Robbins Monro procedure. Statistics and Probability Letters. Vol. 6, pp. 299-303.
    • Goldstein, L. (1988). Mean square rates of convergence in the continuous time simulated annealing algorithm in Rd. Advances in Applied Mathematics. Vol. 9, pp. 35-39.
    • Goldstein, L. (1988). Minimizing noisy functionals in Hilbert space: An extension of the Kiefer Wolfowitz procedure. Journal of Theoretical Probability. Vol. 1 (2), pp. 189-204.
    • Goldstein, L., Waterman, M. (1987). Mapping DNA by stochastic relaxation. Advances in Applied Mathematics. Vol. 8, pp. 194-207.
    • Fellow, the Institute of Mathematics Statistics (IMS), 2003

  • Conferences Organized

    • Co Organizer, Southern California Probability Symposium”,
    • Organizer, New Directions in Stein’s Method”,
    • Organizer, Stein’s Method, Concentration Inequalities, and Malliavin Calculus”,
    • Session Organizer, International Workshop in Applied Probability”,
    • Session Organizer, Third International Workshop in Sequential Methodologies “,

    Editorships and Editorial Boards

    • Associate Editor, Bernoulli”, 2010 – 2013