Introduction to Stochastic Processes
eBook - PDF

Introduction to Stochastic Processes

  1. 248 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Introduction to Stochastic Processes

About this book

Emphasizing fundamental mathematical ideas rather than proofs, Introduction to Stochastic Processes, Second Edition provides quick access to important foundations of probability theory applicable to problems in many fields. Assuming that you have a reasonable level of computer literacy, the ability to write simple programs, and the access to software for linear algebra computations, the author approaches the problems and theorems with a focus on stochastic processes evolving with time, rather than a particular emphasis on measure theory.For those lacking in exposure to linear differential and difference equations, the author begins with a brief introduction to these concepts. He proceeds to discuss Markov chains, optimal stopping, martingales, and Brownian motion. The book concludes with a chapter on stochastic integration. The author supplies many basic, general examples and provides exercises at the end of each chapter.New to the Second Edition:

  • Expanded chapter on stochastic integration that introduces modern mathematical finance
  • Introduction of Girsanov transformation and the Feynman-Kac formula
  • Expanded discussion of Itô's formula and the Black-Scholes formula for pricing options
  • New topics such as Doob's maximal inequality and a discussion on self similarity in the chapter on Brownian motionApplicable to the fields of mathematics, statistics, and engineering as well as computer science, economics, business, biological science, psychology, and engineering, this concise introduction is an excellent resource both for students and professionals.

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Yes, you can access Introduction to Stochastic Processes by Gregory F. Lawler in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Table of Contents
  6. Preface to Second Edition
  7. Preface to First Edition
  8. 0: Preliminaries
  9. 1: Finite Markov Chains
  10. 2: Countable Markov Chains
  11. 3: Continuous-Time Markov Chains
  12. 4: Optimal Stopping
  13. 5: Martingales
  14. 6: Renewal Processes
  15. 7: Reversible Markov Chains
  16. 8: Brownian Motion
  17. 9: Stochastic Integration
  18. Suggestions for Further Reading
  19. Index