Stochastic processes : lectures given at Aarhus University
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Bibliographic Information
Stochastic processes : lectures given at Aarhus University
Springer, c2004
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Originally published as: Stochastic processes, 1968/69. Aarhus : Aarhus Universitet, Matematisk Institut, 1969, in series: Lecture notes series ; no. 16. With new pref
Includes bibliographical references and index
Description and Table of Contents
Description
This accessible introduction to the theory of stochastic processes emphasizes Levy processes and Markov processes. It gives a thorough treatment of the decomposition of paths of processes with independent increments (the Levy-Ito decomposition). It also contains a detailed treatment of time-homogeneous Markov processes from the viewpoint of probability measures on path space. In addition, 70 exercises and their complete solutions are included.
Table of Contents
0 Preliminaries.- 1 Additive Processes (Processes with Independent Increments).- 2 Markov Processes.- Exercises.- E.0 Chapter 0.- E.1 Chapter 1.- E.2 Chapter 2.- Appendix: Solutions of Exercises.- A.0 Chapter 0.- A.1 Chapter 1.- A.2 Chapter 2.
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