Kalbfleisch Probability and Statistical Inference

Erscheinungsjahr 2012
ISBN: 978-1-4684-0091-5
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, eBook

Reihe: Universitext

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Kalbfleisch, J.G.

Inhaltsverzeichnis

Contents—Volume II.- 9. Likelihood Methods.- 9.1 The Method of Maximum Likelihood.- 9.2 Computational Methods.- 9.3 Combining Independent Likelihoods.- 9.4 Relative Likelihood.- 9.5 Likelihood for Continuous Models.- 9.6 Censoring in Lifetime Experiments.- 9.7 Invariance and Other Properties.- 9.8 Sufficient Statistics.- *9.9 Long-run Properties.- 10. Two-Parameter Likelihoods.- 10.1 Introduction.- *10.2 An Example from Life-Testing.- *10.3 Dosage Response Models.- *10.4 An Example from Learning Theory.- *10.5 Elimination of Nuisance Parameters.- 11. Checking the Model.- 11.1 Goodness of Fit Tests.- 11.2 Examples: Approximate Goodness of Fit Tests.- 11.3 Examples: Exact Goodness of Fit Tests.- 11.4 Empirical Cumulative Distribution Function.- 11.5 Quantile Plots.- 12. Tests of Significance.- 12.1 Formulation and Interpretation of Significance 132 Tests.- 12.2 Tests of Composite Hypotheses.- 12.3 Tests in 2×2 Contingency Tables.- 12.4 Testing for Independence in a×b Contingency 158 Tables.- 12.5 Likelihood Ratio Tests.- 12.6 Approximate Likelihood Ratio Tests.- 12.7 Two-tail Tests.- *12.8 Ancillary Statistics.- *12.9 Power.- 13. Intervals from Significance Tests.- 13.1 Confidence Intervals.- 13.1 Approximate Confidence Intervals.- 13.3 Intervals from Normal Likelihoods.- 13.4 Combining Normal Likelihoods.- *13.5 Expected Information.- 14. Inferences for Normal Distribution Parameters.- 14.1 Introduction.- 14.2 One-sample Problems.- 14.3 Analysis of Differences.- 14.4 Comparison of Two Means.- 14.5 Comparison of Two Variances.- 14.6 k-sample Problems.- Review Problems.- 15. Fitting a Straight Line.- 15.1 Linear Models.- 15.2 Parameter Estimates.- 15.3 Tests of Significance and Confidence Intervals.- 15.4 Residual Plots and Tests of Fit.- 16. Topics in StatisticalInference.- *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.- Index to Volume II.