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.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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longest monotone block, success run distributions, nonoverlapping runs, overlapping success, distinguishable cells, consecutive components, first passage probabilities, tightened inspection, switching rule, maximum waiting times, exchangeable random variables, probability generating function, circular sequence, longest run, random ordering, average run length, normal inspection, combinatorial identities, consecutive failures, hypergeometric series, acceptance probability, multinomial coefficients Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Kluwer Academic Publishers, Fibonacci Quart, Annals of Mathematical Statistics, Quality Technology, Lagrange Inversion Theorem, Industrial Quality Control, London Math, References Agin, Introduction Let, Naval Research Logistics Quarterly, Nonparametric Statistical Inference, Shift of Composite, Springer Verlag, Theory Prob New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
longest monotone block, success run distributions, nonoverlapping runs, overlapping success, distinguishable cells, consecutive components, first passage probabilities, tightened inspection, switching rule, maximum waiting times, exchangeable random variables, probability generating function, circular sequence, longest run, random ordering, average run length, normal inspection, combinatorial identities, consecutive failures, hypergeometric series, acceptance probability, multinomial coefficients Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Kluwer Academic Publishers, Fibonacci Quart, Annals of Mathematical Statistics, Quality Technology, Lagrange Inversion Theorem, Industrial Quality Control, London Math, References Agin, Introduction Let, Naval Research Logistics Quarterly, Nonparametric Statistical Inference, Shift of Composite, Springer Verlag, Theory Prob New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 42
books:
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6
books
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- An Introduction to Probability Theory and Its Applications, Vol. 1, 3rd Edition by William Feller on 7 pages
- Fibonacci Numbers and Their Applications (Mathematics and Its Applications (closed)) by Andreas N. Philippou on 6 pages
- Poisson Approximation (Oxford Studies in Probability) by A. D. Barbour on page 172, page 255, and page 303
- Nonparametric Statistical Inference, Fourth Edition: Revised and Expanded (Statistics: A Series of Textbooks and Monographs) by Jean Dickinson Gibbons on page 201, page 285, and page 304
- Reliability and Quality Control by Asit Basu on page 160, and page 181
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- Random Fields and Stochastic Partial Differential Equations (Mathematics and Its Applications (closed)) by Y. Rozanov in Back Matter
- Advances in Combinatorial Methods and Applications to Probability and Statistics (Statistics for Industry and Technology) by N. Balakrishnan on page 423
- Limit Theorems for Random Fields with Singular Spectrum (Mathematics and Its Applications) by M. Leonenko in Back Matter
- Stochastic Processes and Operator Calculus on Quantum Groups (Mathematics and Its Applications (closed)) by U. Franz in Back Matter
- Asymptotic Behaviour of Linearly Transformed Sums of Random Variables (Mathematics and Its Applications (closed)) by V.V. Buldygin in Back Matter
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