Probability with Statistical Applications

  • Rinaldo B. Schinazi

Table of contents

  1. Front Matter
    Pages i-xi
  2. Rinaldo B. Schinazi
    Pages 1-23
  3. Rinaldo B. Schinazi
    Pages 25-67
  4. Rinaldo B. Schinazi
    Pages 69-98
  5. Rinaldo B. Schinazi
    Pages 99-113
  6. Rinaldo B. Schinazi
    Pages 115-159
  7. Rinaldo B. Schinazi
    Pages 161-178
  8. Rinaldo B. Schinazi
    Pages 201-268
  9. Rinaldo B. Schinazi
    Pages 269-309
  10. Rinaldo B. Schinazi
    Pages 311-331
  11. Back Matter
    Pages 333-347

About this book

Introduction

"This book is well-written and the presentation is clear and concise. The text is intended for a one-semester course for undergraduates, but it can also serve as a basis for a high-school course. The level of the book is very elementary and in most of the chapters of the book only basic calculus is required. . . No measure theory is required. In the huge variety of examples rather explicit calculations are presented: moments of several distributions, confidence intervals, testing some parameters or proportions, linear regression and more. Every subsection is rounded off by numerous exercises.”

—Zentralblatt MATH (review of the first edition)

This second edition of Probability with Statistical Applications offers a practical introduction to probability for undergraduates at all levels with different backgrounds and views towards applications. Calculus is a prerequisite for understanding the basic concepts, however the book is written with a sensitivity to students’ common difficulties with calculus that does not obscure the thorough treatment of the probability content. The first six chapters of this text neatly and concisely cover the material traditionally required by most undergraduate programs for a first course in probability.

The comprehensive text includes a multitude of new examples and exercises, and careful revisions throughout. Particular attention is given to the expansion of the last three chapters of the book with the addition of two entirely new chapters on “Finding and Comparing Estimators” and “Multiple Linear Regression.” The classroom-tested material presented in this second edition textbook forms the basis for a second course introducing mathematical statistics.

Keywords

Binomial and Poisson random variables Cramer--Rao lower bound Estimation and hypothesis testing Estimators Limit theorems Linear regression Miximum likelihood Moment generating functions Rao--Blackwell theorem Transformations of random variable and random vectors

Authors and affiliations

  • Rinaldo B. Schinazi
    • 1
  1. 1., MathematicsUniversity of ColoradoColorado SpringsUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-8250-7
  • Copyright Information Springer Science+Business Media, LLC 2012
  • Publisher Name Birkhäuser Boston
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-8249-1
  • Online ISBN 978-0-8176-8250-7
  • About this book