Theoretical Statistics

Front Cover
CRC Press, Sep 6, 1979 - Mathematics - 528 pages
2 Reviews
A text that stresses the general concepts of the theory of statistics Theoretical Statistics provides a systematic statement of the theory of statistics, emphasizing general concepts rather than mathematical rigor. Chapters 1 through 3 provide an overview of statistics and discuss some of the basic philosophical ideas and problems behind statistical procedures. Chapters 4 and 5 cover hypothesis testing with simple and null hypotheses, respectively. Subsequent chapters discuss non-parametrics, interval estimation, point estimation, asymptotics, Bayesian procedure, and deviation theory. Student familiarity with standard statistical techniques is assumed.
 

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Contents

Bibliographic notes
10
Bibliographic notes
56
Pure significance tests
64
Bibliographic notes
82
simple null hypotheses
88
Bibliographic notes
125
composite null hypotheses
131
Bibliographic notes
174
Bayesian methods
364
Bibliographic notes
406
Decision theory
412
Bibliographic notes
474
Author Index
496
Point estimation 250
viii
Bibliographic notes 272
272
Further results and exercises 459
459

Bibliographic notes
202
Bibliographic notes
246
Further results and exercises page
273
Asymptotic theory
279
Bibliographic notes
354
Order statistics 466
466
Bibliographic notes 474
474
Author Index 496
496
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