
Chance and Choice : Memorabilia.
Title:
Chance and Choice : Memorabilia.
Author:
Chung, Kai Lai.
ISBN:
9789812567130
Personal Author:
Physical Description:
1 online resource (327 pages)
Contents:
Contents -- Foreword -- Part A -- 1. Will the Sun Rise Again? -- 2. Yi Huo Ran Zhun Ding Li Zhi Chu Deng Zheng Ming (Hanyu Pinyin) -- 3. Sur un theoreme de M. Gumbel -- 4. On the Probability of the Occurrence of at least m Events among n Arbitrary Events -- 5. On Mutually Favorable Events -- 6. Sur un Theoreme de Probabilites Denombrables -- 7. On the Maximum Partial Sum of Independent Random Variables -- 8. On Fluctuations in Coin-tossing -- 9. Multinomial Ratio [Paul Erdos Solves a Problem] -- 10. On the Renewal Theorem in Higher Dimensions -- 11. On a Stochastic Approximation Method -- 12. Contributions to the Theory of Markov Chains -- 13. On the Martin Boundary for Markov Chains -- 14. Sur une equation de Convolution -- 15. A Simple Proof of Doob's Convergence Theorem -- 16. Remarks on Equilibrium Potential and Energy -- 17. Maxima in Brownian Excursions -- 18. A Cluster of Great Formulas -- 19. Probabilistic Approach to Boundary Value Problems for Schrodinger's Equation -- 20. "Markov Chain Must Have a Beginning" In Memory of Prof. Loo-Keng Hua -- 21. Sul Problema del ritorno all'equilibrio -- PartB -- 1. Continuous Parameter Markov Chains -- 2. Probabilistic Methods in Markov Chains -- 3. Markov Processes with Infinities -- 4. On Diverse Questions of Time Reversing in Markov Chains (and Processes) -- 5. Boundary Behavior of Markov Chains and its Contributions to General Processes -- 6. On the Fundamental Hypotheses of Hunt Processes -- 7. Probability Methods in Potential Theory -- PartC -- 1. Hsu's Work in Probability -- 2. Reminiscences of some of Paul Levy's Ideas in Brownian Motion and in Markov Chains -- 3. Polya' s Work in Probability -- 4. Reminiscences of one of Doeblin's Papers -- 5. Probability and Doob -- 6. In Memory of Levy and Frechet -- 7. Book Review: Stochastic Processes.
8. Book Review: Wahrscheinlichkeitsrechnung mit einem Anhang uber Informations-theorie -- 9. Book Review An Introduction to Probability Theory and its Applications 2 2nd ed -- 10. Mathematics and Applications.
Abstract:
This book begins with a historical essay entitled "Will the Sun Rise Again?" and ends with a general address entitled "Mathematics and Applications". The articles cover an interesting range of topics: combinatoric probabilities, classical limit theorems, Markov chains and processes, potential theory, Brownian motion, Schrödinger-Feynman problems, etc. They include many addresses presented at international conferences and special seminars, as well as memorials to and reminiscences of prominent contemporary mathematicians and reviews of their works. Rare old photos of many of them enliven the book. Contents: On Mutually Favorable Events; On Fluctuations in Coin-Tossing; On a Stochastic Approximation Method; On the Martin Boundary for Markov Chains; A Cluster of Great Formulas; Probabilistic Methods in Markov Chains; Markov Processes with Infinities; Probability Methods in Potential Theory; Pólya's Work in Probability; Probability and Doob; In Memory of Lévy and Fréchet; and other papers. Readership: Graduate students, teachers and researchers in probability and statistics.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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