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Mathematische Theorie statistischer Experimente

Author: Herbert Heyer; Hartmut Scheller
Publisher: Berlin, Heidelberg, New York: Springer, 1973.
Series: Hochschultext.
Edition/Format:   Print book : GermanView all editions and formats
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Additional Physical Format: Online version:
Heyer, Herbert.
Mathematische Theorie statistischer Experimente.
Berlin, Heidelberg, New York: Springer, 1973
(OCoLC)643645990
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Herbert Heyer; Hartmut Scheller
ISBN: 0387907858 9780387907857 3540907858 9783540907855 0387064877 9780387064871 3540064877 9783540064879
OCLC Number: 1264707
Description: xxii, 209 pages 25 cm.
Contents: I. Games and Statistical Decisions.- 1. Two-Person Zero Sum Games.- 2. Concave-Convex Games and Optimality.- 3. Basic Principles of Statistical Decision Theory.- II. Sufficient ?-Algebras and Statistics.- 4. Generalities.- 5. Properties of the System of All Sufficient ?-Algebras.- 6. Completeness and Minimal Sufficiency.- III. Sufficiency under Additional Assumptions.- 7. Sufficiency in the Separable Case.- 8. Sufficiency in the Dominated Case.- 9. Examples and Counter-Examples.- IV. Testing Experiments.- 10. Fundamentals.- 11. Construction of Most Powerful Tests.- 12. Least Favorable Distributions and Bayes Tests.- V. Testing Experiments Admitting an Isotone Likelihood Quotient.- 13. Isotone Likelihood Quotient.- 14. One-Dimensional Exponential Experiments.- 15. Similarity, Stringency and Unbiasedness.- VI. Estimation Experiments.- 16. Minimum Variance Unbiased Estimators.- 17. p-Minimality.- 18. Estimation Via the Order Statistic.- VII. Information and Sufficiency.- 19. Comparison of Classical Experiments.- 20. Representation of Positive Linear Operators by Stochastic Kernels.- 21. The Stochastic Kernel Criterion.- 22. Sufficiency in the Sense of Blackwell.- VIII. Invariance and the Comparison of Experiments.- 23. Existence of Invariant Stochastic Kernels.- 24. Comparison of Translation Experiments.- 25. Comparison of Linear Normal Experiments.- IX. Comparison of Finite Experiments.- 26. Comparison by k-Decision Problems.- 27. Comparison by Testing Problems.- 28. Standard Experiments.- 29. General Theory of Standard Measures.- 30. Sufficiency and Completeness.- X. Comparison with Extremely Informative Experiments.- 31. Bayesian Deficiency.- 32. Totally Informative Experiments.- 33. Totally Uninformative Experiments.- 34. Inequalities Between Deficiencies.- Notational Conventions.- References.- Symbol Index.
Series Title: Hochschultext.
Responsibility: H. Heyer. Unter Mitw. von Hartmut Scheller.

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