Probability and Statistical Inference. Robert Bartoszynski
rel="nofollow" href="#ulink_7ff2fad1-9306-52b0-98c1-a3d7187b3c2e">9.6 Central Limit Theorem Notes
18 Chapter 10: Introduction to Statistical Inference 10.1 Overview 10.2 Basic Models 10.3 Sampling 10.4 Measurement Scales Notes
19 Chapter 11: Estimation 11.1 Introduction 11.2 Consistency 11.3 Loss, Risk, and Admissibility 11.4 Efficiency 11.5 Methods of Obtaining Estimators 11.6 Sufficiency 11.7 Interval Estimation Notes
20 Chapter 12: Testing Statistical Hypotheses 12.1 Introduction 12.2 Intuitive Background 12.3 Most Powerful Tests 12.4 Uniformly Most Powerful Tests 12.5 Unbiased Tests 12.6 Generalized Likelihood Ratio Tests 12.7 Conditional Tests 12.8 Tests and Confidence Intervals 12.9 Review of Tests for Normal Distributions 12.10 Monte Carlo, Bootstrap, and Permutation Tests Notes
21 Chapter 13: Linear Models 13.1 Introduction 13.2 Regression of the First and Second Kind 13.3 Distributional Assumptions 13.4 Linear Regression in the Normal Case 13.5 Testing Linearity 13.6 Prediction 13.7 Inverse Regression 13.8 BLUE 13.9 Regression Toward the Mean 13.10 Analysis of Variance 13.11 One‐Way Layout 13.12 Two‐Way Layout 13.13 ANOVA Models with Interaction 13.14 Further Extensions Notes
22 Chapter 14: Rank Methods 14.1 Introduction 14.2 Glivenko–Cantelli Theorem 14.3 Kolmogorov–Smirnov Tests 14.4 One‐Sample Rank Tests 14.5 Two‐Sample Rank Tests 14.6 Kruskal–Wallis Test Note
23 Chapter 15: Analysis of Categorical Data 15.1 Introduction 15.2 Chi‐Square Tests 15.3 Homogeneity and Independence 15.4 Consistency and Power 15.5 2 x 2 Contingency Tables 15.6 R x C Contingency Tables
24 Chapter 16: Basics of Bayesian Statistics 16.1 Introduction 16.2 Prior and Posterior Distributions 16.3 Bayesian Inference 16.4 Final Comments Notes
25 APPENDIX A: APPENDIX ASupporting R Code
26 APPENDIX B: APPENDIX BStatistical Tables
27 Bibliography
28 Answers to Odd‐Numbered Problems
29 Index
List of Tables
1 Chapter 1Table 1.1 Outcomes on a pair of dice.
2 Chapter 14Table 14.1 The data for Example 14.2.Table 14.2Table 14.3Table 14.4
3 1Table A.1 Built in distributionsTable A.2 Densities/pdf's and cdf's of built in distributionsTable A.3 Quantiles and random number generation of built in distributionsTable A.4 Basic statistics for data values stored in vector
4 2Table B.1 Quantiles of the chi‐square distribution