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

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Bibliographic Details
Author / Creator:Fu, James C.
Imprint:[River Edge] New Jersey : World Scientific, c2003.
Description:x, 162 p. : ill. ; 24 cm.
Language:English
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4966398
Hidden Bibliographic Details
Other authors / contributors:Lou, W. Y. Wendy.
ISBN:9810245874 (alk. paper)
Notes:Includes bibliographical references (p. 153-160) and index.

MARC

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245 1 0 |a Distribution theory of runs and patterns and its application :  |b a finite Markov chain imbedding approach /  |c James C. Fu, W.Y. Wendy Lou. 
260 |a [River Edge] New Jersey :  |b World Scientific,  |c c2003. 
300 |a x, 162 p. :  |b ill. ;  |c 24 cm. 
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504 |a Includes bibliographical references (p. 153-160) and index. 
505 0 0 |g Ch. 1.  |t Introduction --  |g Ch. 2.  |t Finite Markov Chain Imbedding --  |g 2.1.  |t Finite Markov Chain --  |g 2.2.  |t Chapman-Kolmogorov Equation --  |g 2.3.  |t Tree-Structured Markov Chain --  |g 2.4.  |t Runs and Patterns --  |g 2.5.  |t Finite Markov Chain Imbedding --  |g 2.6.  |t Absorbing State --  |g 2.7.  |t First-Entry Probability --  |g Ch. 3.  |t Runs and Patterns in a Sequence of Two-State Trials --  |g 3.1.  |t Introduction --  |g 3.2.  |t Number of Non-Overlapping Consecutive k Successes --  |g 3.3.  |t Number of Success Runs of Length Greater Than or Equal to k --  |g 3.4.  |t Number of Overlapping Consecutive k Successes --  |g 3.5.  |t Number of Runs of Exactly k Successes --  |g 3.6.  |t The Distribution of the Longest Success Run --  |g 3.7.  |t Waiting-Time Distribution of a Success Run --  |g 3.8.  |t Numerical Examples --  |g 3.9.  |t Number of Successes in Success Runs of Length Greater Than or Equal to k --  |g Ch. 4.  |t Runs and Patterns in Multi-State Trials --  |g 4.1.  |t Introduction --  |g 4.2.  |t Forward and Backward Principle with Non-Overlap Counting --  |g 4.3.  |t Overlap Counting --  |g 4.4.  |t Series Pattern --  |g 4.5.  |t Joint Distribution --  |g Ch. 5.  |t Waiting-Time Distributions --  |g 5.1.  |t Introduction --  |g 5.2.  |t The Waiting Time of A Simple Pattern --  |g 5.3.  |t The Waiting Time of A Compound Pattern --  |g 5.4.  |t Probability Generating Function --  |g 5.5.  |t Mean of Waiting Time W([Lambda]) --  |g 5.6.  |t More About Generating Functions --  |g 5.7.  |t Spectrum Analysis and Large Deviation Approximation --  |g 5.8.  |t Probability Generating Function of W(r, [Lambda]) --  |g 5.9.  |t Scan Statistics --  |g Ch. 6.  |t Random Permutations --  |g 6.1.  |t Introduction --  |g 6.2.  |t Successions --  |g 6.3.  |t Eulerian and Simon Newcomb Numbers --  |g Ch. 7.  |t Applications --  |g 7.1.  |t Introduction --  |g 7.2.  |t System Reliability --  |g 7.3.  |t Hypothesis Testing --  |g 7.4.  |t Sequential Continuity --  |g 7.5.  |t Quality Control Schemes. 
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650 0 |a Random variables.  |0 http://id.loc.gov/authorities/subjects/sh85111355 
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650 7 |a Markov processes.  |2 fast  |0 http://id.worldcat.org/fast/fst01010347 
650 7 |a Random variables.  |2 fast  |0 http://id.worldcat.org/fast/fst01089812 
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927 |t Library of Congress classification  |a QA274.7 .F8 2003  |l JCL  |c JCL-Sci  |e SPIT  |e CRERAR  |b 65118705  |i 7530368