Author | Heyer, H. author |
---|---|
Title | Theory of Statistical Experiments [electronic resource] / by H. Heyer |
Imprint | New York, NY : Springer New York, 1982 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-8218-8 |
Descript | X, 289 p. online resource |
I. Games and Statistical Decisions -- ยง 1. Two-Person Zero Sum Games -- ยง 2. Concave-Convex Games and Optimality -- ยง 3. Basic Principles of Statistical Decision Theory -- II. Sufficient ?-Algebras and Statistics -- ยง 4. Generalities -- ยง 5. Properties of the System of All Sufficient ?-Algebras -- ยง 6. Completeness and Minimal Sufficiency -- III. Sufficiency under Additional Assumptions -- ยง 7. Sufficiency in the Separable Case -- ยง 8. Sufficiency in the Dominated Case -- ยง 9. Examples and Counter-Examples -- IV. Testing Experiments -- ยง10. Fundamentals -- ยง11. Construction of Most Powerful Tests -- ยง12. Least Favorable Distributions and Bayes Tests -- V. Testing Experiments Admitting an Isotone Likelihood Quotient -- ยง13. Isotone Likelihood Quotient -- ยง14. One-Dimensional Exponential Experiments -- ยง15. Similarity, Stringency and Unbiasedness -- VI. Estimation Experiments -- ยง16. Minimum Variance Unbiased Estimators -- ยง17. p-Minimality -- ยง18. Estimation Via the Order Statistic -- VII. Information and Sufficiency -- ยง19. Comparison of Classical Experiments -- ยง20. Representation of Positive Linear Operators by Stochastic Kernels -- ยง21. The Stochastic Kernel Criterion -- ยง22. Sufficiency in the Sense of Blackwell -- VIII. Invariance and the Comparison of Experiments -- ยง23. Existence of Invariant Stochastic Kernels -- ยง24. Comparison of Translation Experiments -- ยง25. Comparison of Linear Normal Experiments -- IX. Comparison of Finite Experiments -- ยง26. Comparison by k-Decision Problems -- ยง27. Comparison by Testing Problems -- ยง28. Standard Experiments -- ยง29. General Theory of Standard Measures -- ยง30. Sufficiency and Completeness -- X. Comparison with Extremely Informative Experiments -- ยง31. Bayesian Deficiency -- ยง32. Totally Informative Experiments -- ยง33. Totally Uninformative Experiments -- ยง34. Inequalities Between Deficiencies -- Notational Conventions -- References -- Symbol Index