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Stochastic Processes: General Theory

  • M. M. Rao

Part of the Mathematics and Its Applications book series (MAIA, volume 342)

Table of contents

  1. Front Matter
    Pages i-xii
  2. M. M. Rao
    Pages 1-60
  3. M. M. Rao
    Pages 61-163
  4. M. M. Rao
    Pages 165-231
  5. M. M. Rao
    Pages 233-331
  6. Back Matter
    Pages 589-627

About this book

Introduction

Stochastic Processes: General Theory starts with the fundamental existence theorem of Kolmogorov, together with several of its extensions to stochastic processes. It treats the function theoretical aspects of processes and includes an extended account of martingales and their generalizations. Various compositions of (quasi- or semi-)martingales and their integrals are given. Here the Bochner boundedness principle plays a unifying role: a unique feature of the book. Applications to higher order stochastic differential equations and their special features are presented in detail. Stochastic processes in a manifold and multiparameter stochastic analysis are also discussed. Each of the seven chapters includes complements, exercises and extensive references: many avenues of research are suggested.
The book is a completely revised and enlarged version of the author's Stochastic Processes and Integration (Noordhoff, 1979). The new title reflects the content and generality of the extensive amount of new material.
Audience: Suitable as a text/reference for second year graduate classes and seminars. A knowledge of real analysis, including Lebesgue integration, is a prerequisite.

Keywords

Martingal Martingale Parameter stochastic differential equation stochastic processes

Authors and affiliations

  • M. M. Rao
    • 1
  1. 1.University of CaliforniaUSA

Bibliographic information