ENGLISH

Distribution theory of runs and patterns and its applications

By James C. Fu , W. Y. Wendy Lou

Book information

Publisher
World Scientific Publishing Company
Year
2003
ISBN
9810245874, 9789810245870, 9789812779205
LCC
QA274.7 .F8 2003
Open Library ID
OL22555083M
Language
english
Format
DJVU
Filesize
955 kB (978036 bytes)
Edition
1st
Pages
172\172
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-12-04 00:34:26

Description

This book provides 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.

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