Selected Papers

One: Empirical Bayes Methodology and Compound Decision Theory.- [25] Asymptotically Subminimax Solutions of Compound Statistical Decision Problems.- [39] Asymptotic Solutions of the Compound Decision Problem for Two Completely Specified Distributions.- [41] An Empirical Bayes Approach to Statistics.- [59] The Empirical Bayes Approach to Statistical Decision Problems.- [103] Prediction and Estimation for the Compound Poisson Distribution.- [118] An Empirical Bayes Estimation Problem.- [123] Estimating Many Variances.- [124] Some Thoughts on Empirical Bayes Estimation.- Two: Sequential Experimentation and Analysis, A. Stochastic Approximation.- A. Stochastic Approximation.- [26] A Stochastic Approximation Method (with S. Monro).- [87] A Convergence Theorem for Non-Negative Almost Supermartingales and Some Applications (with D. Siegmund).- [107] Adaptive Design in Regression and Control (with T. L. Lai).- [113] Adaptive Design and Stochastic Approximation (with T. L. Lai).- B. Adaptive Allocation of Treatments in Sequential Experiments.- [28] Some Aspects of the Sequential Design of Experiments.- [42] A Sequential Decision Problem with a Finite Memory.- [129] Optimal Sequential Sampling From Two Populations (with T. L. Lai).- [89] Reducing the Number of Inferior Treatments in Clinical Trials (with B. Flehinger, T. Louis, and B. Singer).- [96] Sequential Tests Involving Two Populations (with D. Siegmund).- C. Sequential Estimation and Testing.- [44] Sequential Estimation of the Mean of a Normal Population.- [64] On the Asymptotic Theory of Fixed-Width Sequential Confidence Intervals for the Mean (with Y. S. Chow).- [68] Finding the Size of a Finite Population (with D. A. Darling).- [51] A Bayes Test of p ? 1/2 Versus p > 1/2 (with S. Moriguti).- [116] Sequential Medical Trials (with T. L. Lai, B. Levin, and D. Siegmund).- D. Power-One Tests and Related Boundary Crossing Probabilities.- [70] Iterated Logarithm Inequalities (with D. A. Darling).- [82] Statistical Methods Related to the Law of the Iterated Logarithm.- [83] Boundary Crossing Probabilities for the Wiener Process and Sample Sums (with D. Siegmund).- [91] A Class of Stopping Rules for Testing Parametric Hypotheses (with D. Siegmund).- [92] Statistical Tests of Power One and the Integral Representation of Solutions of Certain Partial Differential Equations (with D. Siegmund).- Three: Probability and Inference.- [7] On the Measure of a Random Set.- [12] Complete Convergence and the Law of Large Numbers (with P. L. Hsu).- [16] The Central Limit Theorem for Dependent Random Variables (with W. Hoeffding).- [21] Application of the Method of Mixtures to Quadratic Forms in Normal Variates (with E. J. G. Pitman).- [27] Minimum Variance Estimation Without Regularity Assumptions (with D. G. Chapman).- [30] Ergodic Property of the Brownian Motion Process (with G. Kallianpur).- [31] On the Equidistribution of Sums of Independent Random Variables.- [32] Ergodic Theory of Markov Chains Admitting an Infinite Invariant Measure (with T. E. Harris).- [38] A Remark on Stirling's Formula.- [48] On Sums of Independent Random Variables with Infinite Moments and 'Fair' Games (with Y. S. Chow).- [49] A Martingale System Theorem and Applications (with Y. S. Chow).- [55] On Optimal Stopping Rules (with Y. S. Chow).- [61] Optimal Selection Based on Relative Rank-The 'Secretary Problem' (with Y. S. Chow, S. Moriguti, and S. M. Samuels).- [85] Optimal Stopping.- [63] Moments of Randomly Stopped Sums (with Y. S. Chow and H. Teicher).- [60] On the 'Parking' Problem (with A. Dvoretzky).- [75] Estimating the Total Probability of the Unobserved Outcomes of an Experiment.- [93] Mathematical Probability in Election Challenges (with M. O. Finkelstein).- [102] Maximally Dependent Random Variables (with T. L. Lai).- [110] Strong Consistency of Least Squares Estimates in Multiple Regression (with T. L. Lai and C. Z. Wei).- [125] A Note on the Underadjustment Phenomenon (with B. Levin).