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

Runs and Patterns in Probability : Selected Papers

Anant P. Godbole

Yayınevi: Kluwer

Yayın tarihi: 12/1994

ISBN: 9780792328346

İngilizce | 360 Sayfa |

Tür: Matematik-İstatistik

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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 they employ 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 should 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.

Table of Contents Part 1 Combinatorial Probability: Expressions in Terms of Binomial Coefficients for Some Multivariate Distributions of Order k D.L. Antzoulakos, A.N. Philippou. Success Runs in a Circular Sequence of Independent Bernoulli Trials Ch.A. Charalambides. Inversion Techniques and Combinatorial Identities - a Quick Introduction to Hypergeometric Evaluations W. Chu. The Two-Colour Whitworth Problem for Long Cycles or Long Lines F.K. Hwang. Binomial Distributions of Order k on the Circle F.S. Marki, A.N. Philippou. Length of the Longest Non-Decreasing Subsequence on Two Symbols A.O. Pittenger. Exchangeability and Recursion in the Conditional Distribution Theory of Number and Length of Runs E.F. Schuster. The Longest Run of any Letter in a Randomly Generated Word K.A. Suman. Part 2 Reliability Theory and Statistics: Applications of Consecutive System Reliability in Selecting Acceptance Sampling Strategies H-I Ahn, W. Kuo. Exact and Approximate Hypercube Reliabilities A.P. Godbole, S. Khunger, E. Ososanya. Runs and Patterns with Applications to Reliability W.S. Griffith. Robust Procedures for Detecting Non-Random Patterns P.C. O'Brien, M.A. Agin. Reliability of Consecutive Weighted k-out-of n - F System J-S Wu, R-J Chen. Part 3 Limit Theorems and Approximations: Pattern Recognition in Markov Chains D. Banjevic. On the Waiting Time of Appearance of Given Patterns O. Chryssaphinou, S. Papastavridis, T. Tsapelas. Runs and Excursions A. Foeldes. Applications of the Stein-Chen Method to the Theory of Patterns and Runs - an Annotated Bibliography A.P. Godbole. Runs of Superimposed Poisson Processes A.P. Godbole, H. Zhang. Circular Overlapping Success Runs M.V. Koutras, G.K. Papadopoulos, S. Papastavridis. Asymptotic Joint Distribution of Cover Times T.F. Mori.

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