Theory of statistics

Mark J Schervish

Theory of statistics /Mark J Schervish - New York : Springer-Verlag , ©1995. - xvi, 702 pages : illustrations ; 25 cm. - Springer series in statistics. .

Ch. 1. Probability Models --
Ch. 2. Sufficient Statistics --
Ch. 3. Decision Theory --
Ch. 4. Hypothesis Testing --
Ch. 5. Estimation --
Ch. 6. Equivariance --
Ch. 7. Large Sample Theory --
Ch. 8. Hierarchical Models --
Ch. 9. Sequential Analysis --
Appendix A: Measure and Integration Theory --
Appendix B: Probability Theory --
Appendix C: Mathematical Theorems Not Proven Here --
Appendix D: Summary of Distributions.

Commencing with chapters on probability models and the theory of sufficient statistics, the author covers decision theory, hypothesis testing, estimation, equivariance, large sample theory, hierarchical models, and finally, sequential analysis. Every chapter concludes with exercises which range in difficulty from the easy to the challenging. As a result, this textbook provides an excellent course in modern theoretical statistics.

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Math


Mathematical statistics--Statistics

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