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Runs and Patterns in Probability : Selected Papers :  Selected Papers - Anant P. Godbole

Runs and Patterns in Probability : Selected Papers

Selected Papers

Hardcover Published: December 2009
ISBN: 9780792328346
Number Of Pages: 342

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The probabilistic analysis of patterns and runs plays a critical role in fields as diverse as reliability, molecular biology, distribution theory and statistics. The papers in this volume have been written by a collection of research workers who are experts in these (and other) fields. The probabilistic methods employed by them include the Stein--Chen technique of Poisson approximation, 'generating functionology', Markov chain techniques, the 'independence principle', combinatorial probability, exchangeability, and hypergeometric evaluations. The volume has been divided into three sections, entitled Combinatorial Probability and Distribution Theory, Reliability, and Limit Theorems and Approximations. It will be of interest to graduate students and research workers in applied probability, reliability theory, combinatorics and statistics. Most of the papers in the volume are expository in nature and can be used as an introduction to a dynamic and growing area of research.

List of Contributing Authors
Expressions in Terms of Binomial Coefficients for some Multivariate Distributions of Order kp. 1
Success Runs in a Circular Sequence of Independent Bernoulli Trialsp. 15
Inversion Techniques and Combinatorial Identities: A Quick Introduction to Hypergeometric Evaluationsp. 31
The Two-Color Whitworth Problem for Long Cycles or Long Linesp. 59
Binomial Distributions of Order k on the Circlep. 65
Length of the Longest Non-Decreasing Subsequence on Two Symbolsp. 83
Exchangeability and Recursion in the Conditional Distribution Theory of Number and Length of Runsp. 91
The Longest Run of any Letter in a Randomly Generated Wordp. 119
Applications of Consecutive System Reliability in Selecting Acceptance Sampling Strategiesp. 131
Exact and Approximate Hypercube Reliabilitiesp. 163
Runs and Patterns with Applications to Reliabilityp. 173
Robust Procedures for Detecting Non-Random Patternsp. 183
Reliability of Consecutive Weighted k-out-of-n:F Systemp. 205
Pattern Recognition in Markov Chainsp. 213
On the Waiting Time of Appearance of Given Patternsp. 231
Runs and Excursionsp. 243
Applications of the Stein-Chen Method to the Theory of Patterns and Runs: An Annotated Bibliographyp. 253
Runs of Superimposed Poisson Processesp. 263
Circular Overlapping Success Runsp. 287
Asymptotic Joint Distribution of Cover Timesp. 307
Indexp. 329
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792328346
ISBN-10: 0792328345
Series: Mathematics and Its Applications
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 342
Published: December 2009
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 2.06
Weight (kg): 0.69
Edition Type: Annotated

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