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Examples in Parametric Inference with R

  • Ulhas Jayram Dixit

Table of contents

  1. Front Matter
    Pages i-lviii
  2. Ulhas Jayram Dixit
    Pages 1-38
  3. Ulhas Jayram Dixit
    Pages 39-107
  4. Ulhas Jayram Dixit
    Pages 109-151
  5. Ulhas Jayram Dixit
    Pages 153-195
  6. Ulhas Jayram Dixit
    Pages 197-226
  7. Ulhas Jayram Dixit
    Pages 227-259
  8. Ulhas Jayram Dixit
    Pages 261-344
  9. Ulhas Jayram Dixit
    Pages 345-420
  10. Back Matter
    Pages 421-423

About this book

Introduction

This book discusses examples in parametric inference with R. Combining basic theory with modern approaches, it presents the latest developments and trends in statistical inference for students who do not have an advanced mathematical and statistical background. The topics discussed in the book are fundamental and common to many fields of statistical inference and thus serve as a point of departure for in-depth study. The book is divided into eight chapters: Chapter 1 provides an overview of topics on sufficiency and completeness, while Chapter 2 briefly discusses unbiased estimation. Chapter 3 focuses on the study of moments and maximum likelihood estimators, and Chapter 4 presents bounds for the variance. In Chapter 5, topics on consistent estimator are discussed. Chapter 6 discusses Bayes, while Chapter 7 studies some more powerful tests. Lastly, Chapter 8 examines unbiased and other tests.

Senior undergraduate and graduate students in statistics and mathematics, and those who have taken an introductory course in probability, will greatly benefit from this book. Students are expected to know matrix algebra, calculus, probability and distribution theory before beginning this course. Presenting a wealth of relevant solved and unsolved problems, the book offers an excellent tool for teachers and instructors who can assign homework problems from the exercises, and students will find the solved examples hugely beneficial in solving the exercise problems.

Keywords

Parametric Inference with R Unbiased Estimation Likelihood Estimators Consistent Estimators Bayes Estimator

Authors and affiliations

  • Ulhas Jayram Dixit
    • 1
  1. 1.Department of StatisticsUniversity of BombayMumbaiIndia

Bibliographic information