Statistical Decision Theory and Related Topics

Shanti S. Gupta, James Yackel

• Publisher: Academic Press
• Year: 2014
• Print ISBN:
  9780123075505
• eBook ISBN:
  9781483260624
• Topic: Mathematics
• Subtopic: Applied Mathematics
• Index: Mathematics

Statistical Decision Theory and Related Topics is a collection of the papers presented at the Symposium on Statistical Decision Theory and Related Topics which was held on November 23-25, 1970 at Purdue University. The conference brought together research workers in decision theory and related topics. This volume contains twenty papers presented during the symposium and includes works on molecular studies of evolution, globally optimal procedure for one-sided comparisons, multiple decision theory, outlier detection, empirical Bayes slippage tests, and non-optimality of likelihood ratio tests for sequential detection of signals in Gaussian noise. Mathematicians and statisticians will find the book highly insightful.

Table of contents

• Front Cover
• Statistical Decision Theory and Related Topics
• Cipyright Page
• Table of Contents
• CONTRIBUTORS TO THE SYMPOSIUS
• PREFECE
• CHAPTER 1. MOLECULAR STUDIES OF EVOLUTION: A SOURCE OF NOVEL STATISTICAL PROBLEMS
• CHAPTER 2. ASYMPTOTICALLY EFFICIENT ESTIMATION OF NONPARAMETRIC REGRESSION COEFFICIENTS
• CHAPTER 3. OPTIMAL ALLOCATION OF OBSERVATIONS WHEN COMPARING SEVERAL TREATMENTS WITH A CONTROL (III): GLOBALLY BEST ONE-SIDED INTERVALS FOR UNEQUAL VARIANCES
• CHAPTER 3. ON SOME CONTRIBUTIONS TO MULTIPLE DECISION THEORY
• CHAPTER 4. A DECISION-THEORETIC APPROACH TO THE PROBLEM OF TESTING A NULL HYPOTHESIS
• CHAPTER 5. THE ROLE OF SYMMETRY AND APPROXIMATION IN EXACT DESIGN OPTIMALITY
• CHAPTER 6. SYMMETRIC BINOMIAL GROUP-TESTING WITH THREE OUTCOMES
• CHAPTER 7. DETECTION OF OUTLIERS
• CHAPTER 8. EMPIRICAL BAYES SLIPPAGE TESTS
• CHAPTER 9. ANALOGUES OF LINEAR COMBINATIONS OF ORDER STATISTICS IN THE LINEAR MODEL
• CHAPTER 10. A THEOREM ON EXPONENTIALLY BOUNDED STOPPING TIME OF INVARIANT SPRT'S WITH APPLICATIONS
• CHAPTER 11. SOME ASPECTS OF SEARCH STRATEGIES FOR WIENER PROCESSES
• CHAPTER 12. OPTIMAL PARI-MUTUEL WAGERING
• CHAPTER 13. NONPARAMETRIC PROCEDURES FOR SELECTING FIXED-SIZE SUBSETS
• CHAPTER 14. ON A SUBSET SELECTION PROCEDURE FOR THE MOST PROBABLE EVENT IN A MULTINOMIAL DISTRIBUTION
• CHAPTER 15. ON APPROXIMATING CONSTANTS REQUIRED TO IMPLEMENT A SELECTION PROCEDURE BASED ON RANKS
• CHAPTER 16. SELECTION PROCEDURES WITH RESPECT TO MEASURES OF ASSOCIATION
• CHAPTER 17. SAMPLE SIZE FOR SELECTION
• CHAPTER 18. OPTIMAL CONFIDENCE INTERVALS FOR THE LARGEST LOCATION PARAMETER
• CHAPTER 19. NON-OPTIMALITY OF LIKELIHOOD RATIO TESTS FOR SEQUENTIAL DETECTION OF SIGNALS IN GAUSSIAN NOISE