Theory of Markov Processes

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Synopsis

An investigation of the logical foundations of the theory behind Markov random processes, this text explores subprocesses, transition functions, and conditions for boundedness and continuity. Rather than focusing on probability measures individually, the work explores connections between functions. An elementary grasp of the theory of Markov processes is assumed.Starting with a brief survey of relevant concepts and theorems from measure theory, the text investigates operations that permit an inspection of the class of Markov processes corresponding to a given transition function. It advances to the more complicated operations of generating a subprocess, followed by examinations of the construction of Markov processes with given transition functions, the concept of a strictly "Markov process," and the conditions required for boundedness and continuity of a Markov process. Addenda, notes, references, and indexes supplement the text.

Book details

Series:
Dover Books on Mathematics
Author:
E. B. Dynkin, D. E. Brown, T. Kovary
ISBN:
9780486154862
Related ISBNs:
9780486453057
Publisher:
Dover Publications
Pages:
240
Reading age:
Not specified
Includes images:
Yes
Date of addition:
2019-01-18
Usage restrictions:
Public domain
Copyright date:
2006
Copyright by:
 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction