Statistical Decision Theory and Related Topics III

1st Edition - January 28, 1982
Editors: Shanti S. Gupta, James O. Berger
Language: English
eBook ISBN:
9 7 8 - 1 - 4 8 3 2 - 5 9 5 5 - 0

Statistical Decision Theory and Related Topics III, Volume 2 is a collection of papers presented at the Third Purdue Symposium on Statistical Decision Theory and Related Topics,… Read more

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Statistical Decision Theory and Related Topics III, Volume 2 is a collection of papers presented at the Third Purdue Symposium on Statistical Decision Theory and Related Topics, held at Purdue University in June 1981. The symposium brought together many prominent leaders and a number of younger researchers in statistical decision theory and related areas. This volume contains the research papers presented at the symposium and includes works on general decision theory, multiple decision theory, optimum experimental design, sequential and adaptive inference, Bayesian analysis, robustness, and large sample theory. These research areas have seen rapid developments since the preceding Purdue Symposium in 1976, developments reflected by the variety and depth of the works in this volume. Statisticians and mathematicians will find the book very insightful.

Contributors

Preface

Contents of Volume 1

Some Locally Optimal Subset Selection Rules Based on Ranks (62F07, 62F35)

Certain Bounds on the Class of Admissible Estimators in Continuous Exponential Families (62C15, 62F10, 62F11)

Ridge-Type Estimators of Multinomial Cell Probabilities (62H12, 62J07, 62C12)

Asymptotically Optimal Procedures for Sequential Adaptive Selection of the Best of Several Normal Means (62F07, 62L10)

Model Robust Confidence Intervals II (62G35, 62JXX, 62F25)

Adaptive Design and the Multiperiod Control Problem (62J99, 62L20, 62P20)

On the Risk of Bayes Estimates (62C10, 62F10)

The Minimal Complete Class of Procedures for Combining Independent Noncentral F-Tests (62H15, 62C07)

Ridge Estimators as Constrained Generalized Least Squares (62J07,62M10)

Bounds for a K-Fold Integral for Location and Scale Parameter Models with Applications to Statistical Ranking and Selection Problems (60E15, 62F07)

The Asymptotic Distribution Theory of One Sample Signed Rank Statistic (62E20, 62G99)

Analysis of Diversity: A Unified Approach (62J10, 62H17)

Estimating Many Variances (62C25, 62F10)

Estimating a Possibly Rational Mean (62F10, 62F15, 62F35)

Adaptive Procedures for a Finite Number of Probability Distribution Families (62F10, 62F12, 62B10)

Improvements on Linear Minimax Estimates (62J05, 62C99)

Convergence of Dirichlet Measures and the Interpretation of Their Parameter (62A15, 60B10)

Admissibility and Local Asymptotic Admissibility of Procedures which Combine Estimation and Model Selection (62C15, 62F12)

Optimal Designs for Weighted Polynomial Regression Using Canonical Moments (62K05, 62J05)

Higher-Order Asymptotic Efficiency of Estimators in Decision Procedures (62F12, 62C10)

Decision-Theoretic Regression Diagnostics (62J05, 62J07, 62C20,62A99)

Constrained Regularization for Ill-Posed Linear Operator Equations, with Applications in Meteorology and Medicine (45L10,62J07)

Data Fusion (62A25, 20A05)

Sequential Confidence Sets: Estimation-Oriented versus Test-Oriented Construction (62L12, 62F25)

Incorporating Prior Information in Minimax Estimation of the Mean of a Gaussian Process (62M99, 62C10, 62C20)

Empirical Bayes Estimation of the Mean of a Normal Distribution with Convex Loss (62C12, 62C20)

Optimum Submeasures with Application to Finite Population Sampling (62XX, 62D05)

On Matchmaking (62A10, 62C12)

A Class of Generalized Bayes Minimax Estimators (62C20, 62C15)