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Elementary Probability Theory

With Stochastic Processes and an Introduction to Mathematical Finance

  • Kai Lai Chung
  • Farid AitSahlia

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

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Set
    Kai Lai Chung, Farid AitSahlia
    Pages 1-19
  3. Kai Lai Chung, Farid AitSahlia
    Pages 20-45
  4. Kai Lai Chung, Farid AitSahlia
    Pages 46-73
  5. Kai Lai Chung, Farid AitSahlia
    Pages 74-116
  6. Kai Lai Chung, Farid AitSahlia
    Pages 117-163
  7. Kai Lai Chung, Farid AitSahlia
    Pages 164-202
  8. Kai Lai Chung, Farid AitSahlia
    Pages 203-253
  9. Kai Lai Chung, Farid AitSahlia
    Pages 254-328
  10. Kai Lai Chung, Farid AitSahlia
    Pages 329-358
  11. Kai Lai Chung, Farid AitSahlia
    Pages 359-378
  12. Back Matter
    Pages 379-404

About this book

Introduction

In this edition two new chapters, 9 and 10, on mathematical finance are added. They are written by Dr. Farid AitSahlia, ancien eleve, who has taught such a course and worked on the research staff of several industrial and financial institutions. The new text begins with a meticulous account of the uncommon vocab­ ulary and syntax of the financial world; its manifold options and actions, with consequent expectations and variations, in the marketplace. These are then expounded in clear, precise mathematical terms and treated by the methods of probability developed in the earlier chapters. Numerous graded and motivated examples and exercises are supplied to illustrate the appli­ cability of the fundamental concepts and techniques to concrete financial problems. For the reader whose main interest is in finance, only a portion of the first eight chapters is a "prerequisite" for the study of the last two chapters. Further specific references may be scanned from the topics listed in the Index, then pursued in more detail.

Keywords

Excel Markov Chain Markov Chains Measure Multinomial distribution Optimization Methods Poisson distribution Probability distribution Probability theory Random variable STATISTICA Stochastic Processes operations research optimization sets

Authors and affiliations

  • Kai Lai Chung
    • 1
  • Farid AitSahlia
    • 2
  1. 1.Department of MathematicsStanford UniversityStanfordUSA
  2. 2.DemandTecStanfordUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-21548-8
  • Copyright Information Springer-Verlag New York 2003
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3062-0
  • Online ISBN 978-0-387-21548-8
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site