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Elementary Probability Theory with Stochastic Processes

  • Kai Lai Chung

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-x
  2. Set
    Kai Lai Chung
    Pages 1-17
  3. Kai Lai Chung
    Pages 18-42
  4. Kai Lai Chung
    Pages 43-70
  5. Kai Lai Chung
    Pages 71-110
  6. Kai Lai Chung
    Pages 111-155
  7. Kai Lai Chung
    Pages 156-191
  8. Kai Lai Chung
    Pages 192-239
  9. Kai Lai Chung
    Pages 240-306
  10. Back Matter
    Pages 307-325

About this book

Introduction

In the past half-century the theory of probability has grown from a minor isolated theme into a broad and intensive discipline interacting with many other branches of mathematics. At the same time it is playing a centrat role in the mathematization of various applied sciences such as statistics, Opera­ tions research, biology, economics and psychology-to name a few to which the prefix "mathematical" has so far been firmly attached. The coming-of-age of probability has been reflected in the change of contents of textbooks on the subject. In the old days most of these books showed a visible split­ personality torn between the combinatorial games of chance and the so-called "theory of errors" centering in the normal distribution. This period ended with the appearance of Feller's dassie treatise (see [Feiler I]t) in 1950, from the manuscript of which I gave my first substantial course in probability. With the passage of time probability theory and its applications have won a place in the college curriculum as a mathematical discipline essential to many fields of study. The elements of the theory are now given at different Ievels, sometimes even before calculus. The present textbook is intended for a course at about the sophomore Ievel. It presupposes no prior acquaintance with the subject and the first three chapters can be read largely without the benefit of calculus.

Keywords

Probability Probability theory Stochastic Processes Stochastischer Prozess Wahrscheinlichkeit Wahrscheinlichkeitsrechnung calculus mathematics normal distribution statistics

Authors and affiliations

  • Kai Lai Chung
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3973-2
  • Copyright Information Springer-Verlag New York 1974
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4757-3975-6
  • Online ISBN 978-1-4757-3973-2
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site