Probability and Statistical Inference

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.