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Statistical decision theory and related topics proceedings of a symposium held at Purdue University, November 23-25, 1970.
Statistical Decision Theory and Related Topics.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York,
Academic Press,
1971.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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; Abstract; 1. Introduction; 2. Background; 3. Statistical Problem and Stochastic models; 4. Two tentative stochastic models of Inconsequestial changes in macromolecule reflecting evolution of species; 5. Concluding remarks; 6. A postscript.; References; CHAPTER 2. ASYMPTOTICALLY EFFICIENT ESTIMATION OF NONPARAMETRIC REGRESSION COEFFICIENTS; 1. Introduction
- 2. Assumption and notation3. Reduction of the original problem to asymptotically equivalent problem; 4. Estimation in Case A; 5. Estimation in Case B; 6. Proof of effciency in the Case B2; 7. Concluding remarks; References; CHAPTER 3. OPTIMAL ALLOCATION OF OBSERVATIONS WHEN COMPARING SEVERAL TREATMENTS WITH A CONTROL (III): GLOBALLY BEST ONE-SIDED INTERVALS FOR UNEQUAL VARIANCES; 1. Introduction and summary; 2. A discrete and Continuous fomulation of the optimal allocation problem; 3. An alternative expression for the probability; 4. The maximization problem
- 5. Computation of the optimal allocaion for6. Use of the tables; 7. Savings obtained through optimal allocation; 8. Directions of future research; 9. Acknowledgment; References; CHAPTER 3. ON SOME CONTRIBUTIONS TO MULTIPLE DECISION THEORY; Summary; 1. Preliminary Definitions and General Formulation; 2. Some Selection Rules for Discrete Distributions; 3. Some Rules with Constant; References; CHAPTER 4. A DECISION-THEORETIC APPROACH TO THE PROBLEM OF TESTING A NULL HYPOTHESIS; 1� Summary.; 2. Mathematical treatment; Acknowledments; References
- 10. Two modification of procedures. Appendix. Optimal procedures for Small; References; CHAPTER 7. DETECTION OF OUTLIERS; Summary; 1. Outliver detection and decision theory; 2. A Bayesian approach; 3. A limit law related to bays vs. non Bays. ; 4. Computing algorithms; References; CHAPTER 8. EMPIRICAL BAYES SLIPPAGE TESTS; 1. Introduction and Summary; 2. Empirical Bays slippage tests; 3. The case of known distributions; 4. The case of a location parameter; 5. The Case of the normal distribution; References; CHAPTER 9. ANALOGUES OF LINEAR COMBINATIONS OF ORDER STATISTICS IN THE LINEAR MODEL