Probability and Statistical Inference. Robert Bartoszynski

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СКАЧАТЬ Distributions Related to Normal 9.3 Order Statistics 9.4 Generating Random Samples 9.5 Convergence 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

      30  End User License Agreement

      List of Tables

      1 Chapter СКАЧАТЬ