A First Course in Stochastic Processes ( 2 )

Publication series :2

Author: Karlin   Samuel;Taylor   Howard E.  

Publisher: Elsevier Science‎

Publication year: 2012

E-ISBN: 9780080570419

P-ISBN(Paperback): 9780123985521

P-ISBN(Hardback):  9780123985521

Subject: O211.6 stochastic process

Language: ENG

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Description

The purpose, level, and style of this new edition conform to the tenets set forth in the original preface. The authors continue with their tack of developing simultaneously theory and applications, intertwined so that they refurbish and elucidate each other.
The authors have made three main kinds of changes. First, they have enlarged on the topics treated in the first edition. Second, they have added many exercises and problems at the end of each chapter. Third, and most important, they have supplied, in new chapters, broad introductory discussions of several classes of stochastic processes not dealt with in the first edition, notably martingales, renewal and fluctuation phenomena associated with random sums, stationary stochastic processes, and diffusion theory.

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 6

Table of Contents

pp.:  6 – 12

Preface

pp.:  12 – 16

Preface to First Edition

pp.:  16 – 20

Chapter 2. MARKOV CHAINS

pp.:  64 – 100

Chapter 3. THE BASIC LIMIT THEOREM OF MARKOV CHAINS AND APPLICATIONS

pp.:  100 – 136

Chapter 4. CLASSICAL EXAMPLES OF CONTINUOUS TIME MARKOV CHAINS

pp.:  136 – 186

Chapter 5. RENEWAL PROCESSES

pp.:  186 – 257

Chapter 6. MARTINGALES

pp.:  257 – 359

Chapter 7. BROWNIAN MOTION

pp.:  359 – 411

Chapter 8. BRANCHING PROCESSES

pp.:  411 – 462

Chapter 9. STATIONARY PROCESSES

pp.:  462 – 555

Appendix: REVIEW OF MATRIX ANALYSIS

pp.:  555 – 572

Index

pp.:  572 – 578