Title | Herbert Robbins Selected Papers [electronic resource] / edited by T. L. Lai, D. Siegmund |
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Imprint | New York, NY : Springer New York, 1985 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-5110-1 |
Descript | 518p. online resource |
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 ? ยฝ Versus p > ยฝ (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 Stirlingโs Formula -- [48] On Sums of Independent Random Variables with Infinite Moments and โFairโ 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 RankโThe โSecretary Problemโ (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 โParkingโ 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)