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Essentials of Stochastic Processes
 
Kiyosi Itô Kyoto University, Kyoto, Japan
Essentials of Stochastic Processes
Hardcover ISBN:  978-0-8218-3898-3
Product Code:  MMONO/231
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4654-3
Product Code:  MMONO/231.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-3898-3
eBook: ISBN:  978-1-4704-4654-3
Product Code:  MMONO/231.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Essentials of Stochastic Processes
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Essentials of Stochastic Processes
Kiyosi Itô Kyoto University, Kyoto, Japan
Hardcover ISBN:  978-0-8218-3898-3
Product Code:  MMONO/231
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4654-3
Product Code:  MMONO/231.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-3898-3
eBook ISBN:  978-1-4704-4654-3
Product Code:  MMONO/231.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 2312006; 171 pp
    MSC: Primary 60;

    This book is an English translation of Kiyosi Itô's monograph published in Japanese in 1957. It gives a unified and comprehensive account of additive processes (or Lévy processes), stationary processes, and Markov processes, which constitute the three most important classes of stochastic processes. Written by one of the leading experts in the field, this volume presents to the reader lucid explanations of the fundamental concepts and basic results in each of these three major areas of the theory of stochastic processes.

    With the requirements limited to an introductory graduate course on analysis (especially measure theory) and basic probability theory, this book is an excellent text for any graduate course on stochastic processes.

    Kiyosi Itô is famous throughout the world for his work on stochastic integrals (including the Itô formula), but he has made substantial contributions to other areas of probability theory as well, such as additive processes, stationary processes, and Markov processes (especially diffusion processes), which are topics covered in this book. For his contributions and achievements, he has received, among others, the Wolf Prize, the Japan Academy Prize, and the Kyoto Prize.

    Readership

    Graduate students and research mathematicians interested in stochastic processes.

  • Table of Contents
     
     
    • Chapters
    • Basic concepts
    • Additive processes
    • Stationary processes
    • Markov processes
    • Diffusion
  • Additional Material
     
     
  • Reviews
     
     
    • Written by one of the leading experts and founding fathers of the field, this volume presents to the reader lucid explanations of the fundamental concepts and basic results in each of the three major areas of the theory of stochastic processes.

      Zentralblatt MATH
    • Because o fits conciseness, clarity, and carefully chosen set of bibliographic references (added as a Postscript) it seems the ideal support for a course on stochastic processes.

      Mathematical Reviews
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2312006; 171 pp
MSC: Primary 60;

This book is an English translation of Kiyosi Itô's monograph published in Japanese in 1957. It gives a unified and comprehensive account of additive processes (or Lévy processes), stationary processes, and Markov processes, which constitute the three most important classes of stochastic processes. Written by one of the leading experts in the field, this volume presents to the reader lucid explanations of the fundamental concepts and basic results in each of these three major areas of the theory of stochastic processes.

With the requirements limited to an introductory graduate course on analysis (especially measure theory) and basic probability theory, this book is an excellent text for any graduate course on stochastic processes.

Kiyosi Itô is famous throughout the world for his work on stochastic integrals (including the Itô formula), but he has made substantial contributions to other areas of probability theory as well, such as additive processes, stationary processes, and Markov processes (especially diffusion processes), which are topics covered in this book. For his contributions and achievements, he has received, among others, the Wolf Prize, the Japan Academy Prize, and the Kyoto Prize.

Readership

Graduate students and research mathematicians interested in stochastic processes.

  • Chapters
  • Basic concepts
  • Additive processes
  • Stationary processes
  • Markov processes
  • Diffusion
  • Written by one of the leading experts and founding fathers of the field, this volume presents to the reader lucid explanations of the fundamental concepts and basic results in each of the three major areas of the theory of stochastic processes.

    Zentralblatt MATH
  • Because o fits conciseness, clarity, and carefully chosen set of bibliographic references (added as a Postscript) it seems the ideal support for a course on stochastic processes.

    Mathematical Reviews
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.