Probability and Statistical Inference: Volume 2: Statistical Inference - Rilegato

Kalbfleisch, J. G.

Rilegato

ISBN 10: 0387961836 ISBN 13: 9780387961835

Casa editrice: Springer-Verlag GmbH, 1985

Riassunto

This book is in two volumes, and is intended as a text for introductory courses in probability and statistics at the second or third year university level. The likelihood ratio statistic is used to unify the material on testing, and connect it with earlier material on estimation.

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Contenuti

of Volume2.- 9 Likelihood Methods.- 9.1 The Method of Maximum Likelihood.- 9.2 Combining Independent Experiments.- 9.3 Relative Likelihood.- 9.4 Likelihood for Continuous Models.- 9.5 Censoring in Lifetime Experiments.- 9.6 Invariance.- 9.7 Normal Approximations.- 9.8 Newton’s Method.- Review Problems.- 10 Two-Parameter Likelihoods.- 10.1 Maximum Likelihood Estimation.- 10.2 Relative Likelihood and Contour Maps.- 10.3 Maximum Relative Likelihood.- 10.4 Normal Approximations.- 10.5 A Dose-Response Example.- 10.6 An Example from Learning Theory.- 10.7* Some Derivations.- 10.8* Multi-Parameter Likelihoods.- 11 Frequency Properties.- 11.1 Sampling Distributions.- 11.2 Coverage Probability.- 11.3 Chi-Square Approximations.- 11.4 Confidence Intervals.- 11.5 Results for Two-Parameter Models.- 11.6* Expected Information and Planning Experiments.- 11.7* Bias.- 12 Tests of Significance.- 12.1 Introduction.- 12.2 Likelihood Ratio Tests for Simple Hypotheses.- 12.3 Likelihood Ratio Tests for Composite Hypotheses.- 12.4 Tests for Binomial Probabilities.- 12.5 Tests for Multinomial Probabilities.- 12.6 Tests for Independence in Contingency Tables.- 12.7 Cause and Effect.- 12.8 Testing for Marginal Homogeneity.- 12.9 Significance Regions.- 12.10* Power.- 13 Analysis of Normal Measurements.- 13.1 Introduction.- 13.2 Statistical Methods.- 13.3 The One-Sample Model.- 13.4 The Two-Sample Model.- 13.5 The Straight Line Model.- 13.6 The Straight Line Model (Continued).- 13.7 Analysis of Paired Measurements.- Review Problems.- 14 Normal Linear Models.- 14.1 Matrix Notation.- 14.2 Parameter Estimates.- 14.3 Testing Hypotheses in Linear Models.- 14.4 More on Tests and Confidence Intervals.- 14.5 Checking the Model.- 14.6* Derivations.- 15 Sufficient Statistics and Conditional Tests.- 15.1 The Sufficiency Principle.- 15.2 Properties of Sufficient Statistics.- 15.3 Exact Significance Levels and Coverage Probabilities.- 15.4 Choosing the Reference Set.- 15.5 Conditional Tests for Composite Hypotheses.- 15.6 Some Examples of Conditional Tests.- 16 Topics in Statistical Inference.- 16.1* The Fiducial Argument.- 16.2* Bayesian Methods.- 16.3* Prediction.- 16.4* Inferences from Predictive Distributions.- 16.5* Testing a True Hypothesis.- Appendix A.- Answers to Selected Problems.- Appendix B.- Tables.

Product Description

Book by Kalbfleisch JG

Dettagli dell'edizione

• Editore: Springer-Verlag GmbH
• Data di pubblicazione: 1985
• Lingua: Inglese
• ISBN 10: 0387961836
• ISBN 13: 9780387961835
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 380
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania