Statistical Theory : A Concise Introduction

✍ Scribed by Abramovich, Felix; Ritov, Ya'acov

• Publisher: CRC Press
• Year: 2013
• Tongue: English
• Leaves: 241
• Series: Chapman & Hall/CRC Texts in Statistical Science
• Category: Library

✦ Synopsis

Introduction Preamble Likelihood Sufficiency Minimal sufficiency Completeness Exponential family of distributionsPoint Estimation Introduction Maximum likelihood estimation Method of moments Method of least squares Goodness-of-estimation. Mean squared error. Unbiased estimationConfidence Intervals, Bounds, and Regions Introduction Quoting the estimation error Confidence intervalsConfidence bounds Confidence regionsHypothesis Testing Introduction Simple hypothesesComposite hypothesesHypothesis testing and confidence intervals Sequential testingAsymptotic Analysis Introduction Convergence and co. Read more...

Abstract: Introduction Preamble Likelihood Sufficiency Minimal sufficiency Completeness Exponential family of distributionsPoint Estimation Introduction Maximum likelihood estimation Method of moments Method of least squares Goodness-of-estimation. Mean squared error. Unbiased estimationConfidence Intervals, Bounds, and Regions Introduction Quoting the estimation error Confidence intervalsConfidence bounds Confidence regionsHypothesis Testing Introduction Simple hypothesesComposite hypothesesHypothesis testing and confidence intervals Sequential testingAsymptotic Analysis Introduction Convergence and co

✦ Table of Contents

Content: Front Cover
Contents
List of Figures
List of Tables
Preface
Chapter 1. Introduction
Chapter 2. Point Estimation
Chapter 3. Confidence Intervals, Bounds, and Regions
Chapter 4. Hypothesis Testing
Chapter 5. Asymptotic Analysis
Chapter 6. Bayesian Inference
Chapter 7. Elements of Statistical Decision Theory
Chapter 8. Linear Models
Appendix A. Probabilistic Review
Appendix B. Solutions of Selected Exercises
Bibliography
Index
Back Cover

✦ Subjects

Математика;Теория вероятностей и математическая статистика;Математическая статистика;