Introduction to Statistical Inference: Springer Texts in Statistics
Autor Jack C. Kiefer Editat de Gary Lordenen Limba Engleză Paperback – 16 dec 2011
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Specificații
ISBN-13: 9781461395805
ISBN-10: 1461395801
Pagini: 348
Ilustrații: VIII, 334 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.49 kg
Ediția:Softcover reprint of the original 1st ed. 1987
Editura: Springer
Colecția Springer
Seria Springer Texts in Statistics
Locul publicării:New York, NY, United States
ISBN-10: 1461395801
Pagini: 348
Ilustrații: VIII, 334 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.49 kg
Ediția:Softcover reprint of the original 1st ed. 1987
Editura: Springer
Colecția Springer
Seria Springer Texts in Statistics
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
1 Introduction to Statistical Inference.- 2 Specification of a Statistical Problem.- 2.1 Additional Remarks on the Loss Function.- 3 Classifications of Statistical Problems.- 4 Some Criteria for Choosing a Procedure.- 4.1 The Bayes Criterion.- 4.2 Minimax Criterion.- 4.3 Randomized Statistical Procedures.- 4.4 Admissibility: The Geometry of Risk Points.- 4.5 Computation of Minimax Procedures.- 4.6 Unbiased Estimation.- 4.7 The Method of Maximum Likelihood.- 4.8 Sample Functionals: The Method of Moments.- 4.9 Other Criteria.- 5 Linear Unbiased Estimation.- 5.1 Linear Unbiased Estimation in Simple Settings.- 5.2 General Linear Models: The Method of Least Squares.- 5.3 Orthogonalization.- 5.4 Analysis of the General Linear Model.- 6 Sufficiency.- 6.1 On the Meaning of Sufficiency.- 6.2 Recognizing Sufficient Statistics.- 6.3 Reconstruction of the Sample.- 6.4 Sufficiency: “No Loss of Information”.- 6.5 Convex Loss.- 7 Point Estimation.- 7.1 Completeness and Unbiasedness.- 7.2 The “Information Inequality”.- 7.3 Invariance.- 7.4 Computation of Minimax Procedures (Continued).- 7.5 The Method of Maximum Likelihood.- 7.6 Asymptotic Theory.- 8 Hypothesis Testing.- 8.1 Introductory Notions.- 8.2 Testing Between Simple Hypotheses.- 8.3 Composite Hypotheses: UMP Tests; Unbiased Tests.- 8.4 Likelihood Ratio (LR) Tests.- 8.5 Problems Where n Is to Be Found.- 8.6 Invariance.- 8.7 Summary of Common “Normal Theory” Tests.- 9 Confidence Intervals.- Appendix A Some Notation, Terminology, and Background Material.- Appendix B Conditional Probability and Expectation, Bayes Computations.- Appendix C Some Inequalities and Some Minimization Methods.- C.1 Inequalities.- C.2 Methods of Minimization.- References.