Larry Goldstein

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, Gary Rosen, $2,590,826, 2018 – 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, Jay Bartroff, $120,266, 2011 – 2013
• Senior Research Visitor Grant, Keble Advanced Studies Centre, (Keble College, Oxford), Larry Goldstein, $3,150, Fall 2012
• Visiting Professor Grant, (LUISS University, Rome Italy), Larry Goldstein, $8,600, Fall 2011

USC Funding

• Faculty Development Grant. Coupling Methods for Concentration of Measure Inequalities: The concentration of measure phenomenon, allowing complex systems to be described simply, is extended to dependent models in information theory, molecular biology, networks, and statistics., $3500, 2012-2013
• Faculty Development Grant. The characterizing equation method for distributional approximation: Though exact calculation of probabilities in large scale random complex systems is typically difficult, or impossible, tractable approximations are provided by the characterizing equation method. , $2500, 2009 – 2010

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, Los Angeles, 2023-2024
• 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 Chapters

• 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.
• Assaf, D., Goldstein, L., Samuel-Cahn, E. (1996). A Statistical Version of Prophet Inequalities. Ann. Statist. Vol. 26 (3), pp. 1190-1197.
• 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.

• Introduction to Stein’s Method, Scoula Normale Superiore di Pisa, Cortona Italy, 07/01/2013 – 07/18/2013
• Statistical Inference and Data Analysis I, Mathematics, 2009-2010
• Statistical Inference and Data Analysis II, Mathematics, 2009-2010

• Fellow, the Institute of Mathematics Statistics (IMS), 2003

Conferences Organized

• Co Organizer, Southern California Probability Symposium, Virtual, 2020-2021
• Organizer, New Directions in Stein’s Method, National University of Singapore, 2015-2016
• Organizer, Stein’s Method, Concentration Inequalities, and Malliavin Calculus, Ch^ateau de la Bretesche in Missillac, Loire-Atlantique, France, 2014-2015
• Session Organizer, International Workshop in Applied Probability, Jerusalem, Israel, 2012-2013
• Session Organizer, Third International Workshop in Sequential Methodologies , Stanford University, 2011-2012

Editorships and Editorial Boards

• Associate Editor, Bernoulli, 2010 – 2013

Professional Memberships

• Institue of Mathematical Statistics, 1984 – 2021