Distribution Theory of Runs and Patterns and Its Applications

Distribution Theory of Runs and Patterns and Its Applications
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Distribution Theory of Runs and Patterns and Its Applications

by James C. Fu (Author), W. Y. Wendy Lou (Author)



Publisher: World Scientific Pub Co Inc; 1st edition (March 2003)



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.



Editorial Reviews Review a narrative that takes the reader through to the end, while providing enough detail for the exposition to be convincing. -- Journal of the American Statistical Association From the Publisher Readership: Graduate students and researchers in probability and statistics.