Institute of Mathematical Statistics Lecture Notes - Monograph Series

Adaptive statistical procedures and related topics

Editor: John Van Ryzin

Lecture Notes--Monograph Series, Volume 8
Hayward, CA: Institute of Mathematical Statistics, 1986.
476 pp.

Subjects:

62-06 (primary)
Permanent link to this monograph: http://projecteuclid.org/euclid.lnms/1215540282
Mathmatical Reviews number (MathSciNet): MR898233
ISBN:0-940600-09-9

Copyright © 1986, Institute of Mathematical Statistics.

Miscellaneous Frontmatter

i-ix

I. Sequential Analysis

On the passage of a random walk from generalized balls

Sandor Csorgo, and Lajos Horvath; 1-17

Convergence rates for iterative solutions to optimal stopping problems

Donald A. Darling; 18-28

Computing optimal sequential allocation rules in clinical trials

Michael N. Katehakis, and Cyrus Derman; 29-39

Sequential analysis and the law of the iterated logarithm

Hans Rudolf Lerche; 40-53

Multistage tests of hypotheses

Gary Lorden; 54-61

A multiple criteria optimal selection problem

Stephen M. Samuels, and Bay Chotlos; 62-78

On Bayes tests for $p\leq1\over 2$ versus $p>1\over 2$: analytic approximations

Gordon Simons, and Xi Zhi Wu; 79-95

Sequential confidence intervals with beta protection in one-parameter families

Robert A. Wijsman; 96-107

Confidence sets for a change-point

David Siegmund; 108

Asymptotic optimality in sequential interval estimation

Michael Woodroofe; 109

II. Empirical Bayes Theory and Methods

Empirical Bayes rules for selecting good binomial populations

Shanti S. Gupta, and TaChen Liang; 110-128

The finite state compound decision problem, equivariance and restricted risk components

Dennis C. Gilliland, and James F. Hannan; 129-145

The primal state adaptive control chart

Bruce Hoadley, and Bill Huston; 146-163

Fully nonparametric empirical Bayes estimation via projection pursuit

M. Vernon Johns; 164-178

Empirical Bayes estimation in heterogeneous matched binary samples with systematic aging effects

Bruce Levin; 179-194

Empirical Bayes: a frequency-Bayes compromise

Carl N. Morris; 195-203

Adaptive allocation for importance sampling

Ronald F. Peierls, and Joseph A. Yahav; 204-218

Empirical Bayes procedures with censored data

V. Susarla, and John Van Ryzin; 219-234

Empirical Bayes stock market portfolios

Thomas M. Cover, and David H. Gluss; 235-236

III. Stochastic Approximation Procedures

Stochastic approximation for functionals

D. L. Hanson, and Ralph P. Russo; 237-252

Constrained stochastic approximation via the theory of large deviations

H. Kushner, and P. Dupuis; 253-265

Stochastic approximation and adaptive control

Tze Leung Lai; 266-282

Repeated-MLE procedures for stochastic approximation in quantal response problems

Thomas Sellke; 283-297

Maximum likelihood recursion and stochastic approximation in sequential designs

C.-F. J. Wu; 298-313

Stochastic approximation revisited

Aryeh Dvoretzky; 314

IV: Related Topics: Statistics

Distribution optimality and second-order efficiency of test procedures

R. R. Bahadur, and J. C. Gupta; 315-331

On estimating the total probability of the unobserved outcomes of an experiment

P. J. Bickel, and J. A. Yahav; 332-337

Remarks on the estimation of coefficients of a regression in the presence of unknown explanatory variables

Herman Chernoff; 338-349

Estimation of the median survival time under random censorship

Joseph C. Gardiner, V. Susarla, and John Van Ryzin; 350-364

Maximum likelihood estimation in regression with uniform errors

Herbert Robbins, and Cun-Hui Zhang; 365-385

Evaluating the chosen population: a Bayes and minimax approach

Harold Sackrowitz, and Ester Samuel-Cahn; 386-399

V. Related Topics: Probability

Stochastic differential equations for neuronal behavior

S. K. Christensen, and G. Kallianpur; 400-416

Optimization by simulated annealing: a necessary and sufficient condition for convergence

Bruce Hajek; 417-427

Ruelle's Perron-Frobenius theorem and the central limit theorem for additive functionals of one-dimensional Gibbs states

S. P. Lalley; 428-446

Limit theorems for random central order statistics

Madan L. Puri, and Stefan S. Ralescu; 447-475

On moments of ladder height variables

Y. S. Chow; 476

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series