American Mathematical Society

Runs and Patterns in Probability: Selected Papers - Mathematics and Its Applications American Mathematical Society Annotated edition

Marc Notes: Twenty papers, six of which were selected from those at a special session at the 861st Meeting of the American Mathematical Society in Denton, Texas, Nov. 1990.; Includes bibliographical references and index. Table of Contents: Preface. Part 1: Combinatorial Probability. 1. Expressions in Terms of Binomial Coefficients for Some Multivariate Distributions of Order k; D. L. Antzoulakos, A. N. Philippou. 2. Success Runs in a Circular Sequence of Independent Bernoulli Trials; Ch. A. Charalambides. 3. Inversion Techniques and Combinatorial Identities: a Quick Introduction to Hypergeometric Evaluations; W. Chu. 4. The Two-Color Whitworth Problem for Long Cycles or Long Lines; F. K. Hwang. 5. Binomial Distributions of Order k on the Circle; F. S. Marki, A. N. Philippou. 6. Length of the Longest Non-Decreasing Subsequence on Two Symbols; A. O. Pittenger. 7. Exchangeability and Recursion in the Conditional Distribution Theory of Number and Length of Runs; E. F. Schuster. 8. The Longest Run of any Letter in a Randomly Generated Word; K. A. Suman. Part 2: Reliability Theory and Statistics. 9. Applications of Consecutive System Reliability in Selecting Acceptance Sampling Strategies; H-I Ahn, W. Kuo. 10. Exact and Approximate Hypercube Reliabilities; A. P. Godbole, S. Khunger, E. Ososanya. 11. Runs and Patterns with Applications to Reliability; W. S. Griffith. 12. Robust Procedures for Detecting Non-Random Patterns; P. C. O'Brien, M. A. Agin. 13. Reliability of Consecutive Weighted k-out-of n: F System; J-S Wu, R-J Chen. Part 3: Limit Theorems and Approximations. 14. Pattern Recognition in Markov Chains; D. Banjevic. 15. On the Waiting Time of Appearance of Given Patterns; O. Chryssaphinou, S. Papastavridis, T. Tsapelas. 16. Runs and Excursions; A. Foldes. 17. Applications of the Stein-Chen Method to the Theory of Patterns and Runs: an Annotated Bibliography; A. P. Godbole. 18. Runs of Superimposed Poisson Processes; A. P. Godbole, H. Zhang. 19. Circular Overlapping Success Runs; M. V. Koutras, G. K. Papadopoulos, S. Papastavridis. 20. Asymptotic Joint Distribution of Cover Times; T. F. Mori. Index.