A Second Course in Stochastic Processes


  • Samuel Karlin, Stanford University and The Weizmann Institute of Science
  • Howard Taylor, U.S. Geological Survey, Boulder, Colorado, U.S.A.

This Second Course continues the development of the theory and applications of stochastic processes as promised in the preface of A First Course. We emphasize a careful treatment of basic structures in stochastic processes in symbiosis with the analysis of natural classes of stochastic processes arising from the biological, physical, and social sciences.
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Readers of this book are assumed to be familiar with the elementary theory of probability as presented in the first half of Feller's classic Introduction to Probability and Its Applications.


Book information

  • Published: April 1981
  • ISBN: 978-0-12-398650-4

Table of Contents

Preface. Preface to A First Course. Preface to First Edition. Contents of A First Course. Algebraic Methods in Markov Chains. Ratio Theorems of Transition Probabilities and Applications. Sums of Independent Random Variables as a Markov Chain. Order Statistics, Poisson Processes, and Applications. Continuous Time Markov Chains. Diffusion Processes. Compounding Stochastic Processes. Fluctuation Theory of Partial Sums of Independent Identically Distributed Random Variables. Queueing Processes. Miscellaneous Problems. Index.