The Fifth Purdue International Symposium on Statistical Decision The� was held at Purdue University during the period of ory and Related Topics June 14-19,1992. The symposium brought together many prominent leaders and younger researchers in statistical decision theory and related areas. The format of the Fifth Symposium was different from the previous symposia in that in addition to the 54 invited papers, there were 81 papers presented in contributed paper sessions. Of the 54 invited papers presented at the sym� posium, 42 are collected in this volume. The papers are grouped into a total of six parts: Part 1 - Retrospective on Wald's Decision Theory and Sequential Analysis; Part 2 - Asymptotics and Nonparametrics; Part 3 - Bayesian Analysis; Part 4 - Decision Theory and Selection Procedures; Part 5 - Probability and Probabilistic Structures; and Part 6 - Sequential, Adaptive, and Filtering Problems. While many of the papers in the volume give the latest theoretical developments in these areas, a large number are either applied or creative review papers.

Contenuti

1: Restrospective on Wald’s Decision Theory and Sequential Analysis.- Minimaxity, More or Less.- A Retrospective of Wald’s Sequential Analysis — Its Relation to Change-point Detection and Sequential Clinical Trials.- Group Bayes Estimation of the Exponential Mean: A Retrospective View of the Wald Theory.- 2: Asymptotics and Nonparametrics.- Ibragimov — Hasminskii Models.- Penalized Likelihood Hazard Estimation: Algorithm and Examples.- Estimating Lifetime Distribution Under Different Sampling Plans.- Estimating the Mixing Density of a Mixture of Power Series Distributions.- Estimating Linear Functionals in Density Estimation Models.- On Robust Estimation In Case-Control Studies with Errors in Covariates.- 3: Bayesian Analysis.- Applications and Limitations of Robust Bayesian Bounds and Type II MLE.- Bayesian Estimation of Political Transition Matrices.- Using Historical Controls in Clinical Trials: Application to ECMO.- A Geometric Solution of the Bayesian E-Optimal Design Problem.- Bayesian Estimation for Censored Data: An Experiment in Sensitivity Analysis.- Stability and Convergence of the Posterior in Non-Regular Problems.- A Hierarchical Bayesian Analysis of Circular Data with Autoregressive Errors: Modeling the Mechanical Properties of Cortical Bone.- Discovery Sampling and Selection Models.- 4: Decision Theory and Selection Procedures.- Loss Functions for Set Estimation.- Double Sample Estimation When Cost Depends on the Parameter.- On Some Bayesian Solutions of the Neyman-Scott Problem.- Empirical Bayes Two-Stage Procedures for Selecting the Best Bernoulli Population Compared with a Control.- On the Differentiation of Certain Probabilities with Applications in Statistical Decision Theory.- Minimax Bayes, Asymptotic Minimax and Sparse Wavelet Priors.- Simulating the Power of Decision Rules Applied to Data From the HGPRT Gene Mutation Assay.- Analyzing Randomized Response Data with a Binomial Selection Procedure.- Improved Confidence Statements for the Usual Multivariate Normal Confidence Set.- Improving on Truncated Estimators.- Bayesian and Non-Bayesian Estimation Using Balanced Loss Functions.- 5: Probability and Probabilistic Structures.- Distributions Which Are Gaussian Convolutions.- An Infinite Dimensional Convolution Theorem.- How Many Geometric (p) Samples Does It Take to See All the Balls in a Box.- The Asymptotic Distribution of Point Charges on a Conducting Sphere.- Permutation Invariant Upper and Lower Probabilities.- Subgraph Approximations for Directed Graphical Models.- Lower Bounds on Expected Redundancy for Classes of Continuous Markov Sources.- 6: Sequential, Adaptive, and Filtering Problems.- Random Walks for Quantile Estimation.- Some Procedures for State Estimation of a Hidden Markov Chain with Two States.- Adaptive Estimation Via Martingales.- The Blackwell Prediction Algorithm for Infinite 0–1 Sequences, and a Generalization.- Some Statistical Problems in Multitarget Tracking.- A Generalized Parking Problem.- Search Methods and Observer Logics.

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