TY  - BOOK
AU  - Fu,James C.
AU  - Lou,W.Y.Wendy
TI  - Distribution theory of runs and patterns and its application
SN  - 9810245874 (alk. paper)
AV  - QA274.7 .F8 2003
U1  - 519.2/33 21
PY  - 2003///
CY  - River Edge, N.J.
PB  - World Scientific
KW  - Markov processes
KW  - Random variables
KW  - Distribution (Probability theory)
N1  - Includes bibliographical references and index; Ch. 1; Introduction --; Ch. 2; Finite Markov Chain Imbedding --; 2.1; Finite Markov Chain --; 2.2; Chapman-Kolmogorov Equation --; 2.3; Tree-Structured Markov Chain --; 2.4; Runs and Patterns --; 2.5; Finite Markov Chain Imbedding --; 2.6; Absorbing State --; 2.7; First-Entry Probability --; Ch. 3; Runs and Patterns in a Sequence of Two-State Trials --; 3.1; Introduction --; 3.2; Number of Non-Overlapping Consecutive k Successes --; 3.3; Number of Success Runs of Length Greater Than or Equal to k --; 3.4; Number of Overlapping Consecutive k Successes --; 3.5; Number of Runs of Exactly k Successes --; 3.6; The Distribution of the Longest Success Run --; 3.7; Waiting-Time Distribution of a Success Run --; 3.8; Numerical Examples --; 3.9; Number of Successes in Success Runs of Length Greater Than or Equal to k --; Ch. 4; Runs and Patterns in Multi-State Trials --; 4.1; Introduction --; 4.2; Forward and Backward Principle with Non-Overlap Counting --; 4.3; Overlap Counting --; 4.4; Series Pattern --; 4.5; Joint Distribution --; Ch. 5; Waiting-Time Distributions --; 5.1; Introduction --; 5.2; The Waiting Time of A Simple Pattern --; 5.3; The Waiting Time of A Compound Pattern --; 5.4; Probability Generating Function --; 5.5; Mean of Waiting Time W([Lambda]) --; 5.6; More About Generating Functions --; 5.7; Spectrum Analysis and Large Deviation Approximation --; 5.8; Probability Generating Function of W(r, [Lambda]) --; 5.9; Scan Statistics --; Ch. 6; Random Permutations --; 6.1; Introduction --; 6.2; Successions --; 6.3; Eulerian and Simon Newcomb Numbers --; Ch. 7; Applications --; 7.1; Introduction --; 7.2; System Reliability --; 7.3; Hypothesis Testing --; 7.4; Sequential Continuity --; 7.5; Quality Control Schemes
ER  -