Distribution theory of runs and patterns and its applications : a finite Markov chain imbedding approach /

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Bibliographic Details
Author / Creator:Fu, James C.
Imprint:River Edge, N.J. : World Scientific, ©2003.
Description:1 online resource (x, 162 pages) : illustrations
Subject:Markov processes.
Random variables.
Distribution (Probability theory)
MATHEMATICS -- Probability & Statistics -- Stochastic Processes.
Distribution (Probability theory)
Markov processes.
Random variables.
Mathematical Statistics.
Physical Sciences & Mathematics.
Electronic books.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11178904
Hidden Bibliographic Details
Other authors / contributors:Lou, W. Y. Wendy.
Digital file characteristics:data file
Notes:Includes bibliographical references (pages 153-160) and index.
Print version record.
Summary:A rigorous, comprehensive introduction to the finite Markov chain imbedding technique for studying the distributions of runs and patterns from a unified and intuitive viewpoint, away from the lines of traditional combinatorics. The central theme of this approach is to properly imbed the random variables of interest into the framework of a finite Markov chain, and the resulting representations of the underlying distributions are compact and very amenable to further study of associated properties. The concept of finite Markov chain imbedding is systematically developed, and its utility is illustrated through practical applications to a variety of fields, including the reliability of engineering systems, hypothesis testing, quality control, and continuity measurement in the health care sector.
Other form:Print version: Fu, James C. Distribution theory of runs and patterns and its applications. River Edge, N.J. : World Scientific, ©2003 9810245874 9789810245870