Basic Probability Theory with Applications

  • Mario Lefebvre

Table of contents

  1. Front Matter
    Pages 1-13
  2. Mario Lefebvre
    Pages 1-26
  3. Mario Lefebvre
    Pages 27-53
  4. Mario Lefebvre
    Pages 55-113
  5. Mario Lefebvre
    Pages 115-159
  6. Mario Lefebvre
    Pages 161-190
  7. Mario Lefebvre
    Pages 191-226
  8. Mario Lefebvre
    Pages 227-267
  9. Back Matter
    Pages 1-69

About this book

Introduction

This book presents elementary probability theory with interesting and well-chosen applications that illustrate the theory. An introductory chapter reviews the basic elements of differential calculus which are used in the material to follow. The theory is presented systematically, beginning with the main results in elementary probability theory. This is followed by material on random variables. Random vectors, including the all important central limit theorem, are treated next. The last three chapters concentrate on applications of this theory in the areas of reliability theory, basic queuing models, and time series. Examples are elegantly woven into the text and over 400 exercises reinforce the material and provide students with ample practice.

This textbook can be used by undergraduate students in pure and applied sciences such as mathematics, engineering, computer science, finance and economics.

A separate solutions manual is available to instructors who adopt the text for their course.

Keywords

Probability theory Random variable central limit theory queuing models random variables random vectors reliability theory time series

Authors and affiliations

  • Mario Lefebvre
    • 1
  1. 1.Dépt. Mathématiques et deEcole Polytechnique de MontréalMontrealCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-74995-2
  • Copyright Information Springer-Verlag New York 2009
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-74994-5
  • Online ISBN 978-0-387-74995-2
  • Series Print ISSN 1867-5506
  • Series Online ISSN 1867-5514
  • About this book