Runs and Patterns in Probability: Selected Papers

Runs and Patterns in Probability: Selected Papers PDF

Author: Anant P. Godbole

Publisher: Springer Science & Business Media

Published: 1994-04-30

Total Pages: 364

ISBN-13: 9780792328346

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The Probability Theory of Patterns and Runs has had a long and distinguished history, starting with the work of de Moivre in the 18th century and that of von Mises in the early 1920's, and continuing with the renewal-theoretic results in Feller's classic text An Introduction to Probability Theory and its Applications, Volume 1. It is worthwhile to note, in particular, that de Moivre, in the third edition of The Doctrine of Chances (1756, reprinted by Chelsea in 1967, pp. 254-259), provides the generating function for the waiting time for the appearance of k consecutive successes. During the 1940's, statisticians such as Mood, Wolfowitz, David and Mosteller studied the distribution theory, both exact and asymptotic, of run-related statistics, thereby laying the foundation for several exact run tests. In the last two decades or so, the theory has seen an impressive re-emergence, primarily due to important developments in Molecular Biology, but also due to related research thrusts in Reliability Theory, Distribution Theory, Combinatorics, and Statistics.

Selected Papers

Selected Papers PDF

Author: Jacob Wolfowitz

Publisher: Springer

Published: 1980-04-08

Total Pages: 680

ISBN-13:

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From the Introduction: "This volume of selected papers of Jacob Wolfowitz is published to honor the 70th birthday of this leader of research in statistical inference and information theory...We have made an attempt to organize the material into sections based on subject matter. Since Wolfowitz's many interests have persisted over time, the sections do not represent chronological divisions...We have tried to choose the papers we regarded as most important among Wolfowitz's work in terms of their further influence, or sometimes a paper that contains what we found a striking idea of him. A further consideration was the lucidity of his explanations that we mentioned in describing his teaching; some of his papers contain intuition of heuristics that no statistician should miss..."

Selected Papers on Probability and Statistics

Selected Papers on Probability and Statistics PDF

Author:

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 243

ISBN-13: 0821848216

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This volume contains translations of papers that originally appeared in the Japanese journal Sugaku. The papers range over a variety of topics in probability theory, statistics, and applications. This volume is suitable for graduate students and research mathematicians interested in probability and statistics.

Selected Papers on Analysis, Probability, and Statistics

Selected Papers on Analysis, Probability, and Statistics PDF

Author: Katsumi Nomizu

Publisher: American Mathematical Soc.

Published: 1994

Total Pages: 176

ISBN-13: 9780821875124

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This book presents papers in the general area of mathematical analysis as it pertains to probability and statistics, dynamical systems, differential equations, and analytic function theory. Among the topics discussed are: stochastic differential equations, spectra of the Laplacian and Schrödinger operators, nonlinear partial differential equations which generate dissipative dynamical systems, fractal analysis on self-similar sets, and the global structure of analytic functions.

Selected Works of A. N. Kolmogorov

Selected Works of A. N. Kolmogorov PDF

Author: A.N. Shiryayev

Publisher: Springer Science & Business Media

Published: 1992-02-29

Total Pages: 618

ISBN-13: 902772797X

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The creative work of Andrei N. Kolmogorov is exceptionally wide-ranging. In his studies on trigonometric and orthogonal series, the theory of measure and integral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, he solved many conceptual and fundamental problems and posed new questions which gave rise to a great deal of further research. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of central results, with many applications to mechanics, geophysics, linguistics and biology, among other subjects. This edition includes Kolmogorov's most important papers on mathematics and the natural sciences. It does not include his philosophical and pedagogical studies, his articles written for the "Bolshaya Sovetskaya Entsiklopediya", his papers on prosody and applications of mathematics or his publications on general questions. The material of this edition was selected and compiled by Kolmogorov himself. The first volume consists of papers on mathematics and also on turbulence and classical mechanics. The second volume is devoted to probability theory and mathematical statistics. The focus of the third volume is on information theory and the theory of algorithms.

Selected Papers of Frederick Mosteller

Selected Papers of Frederick Mosteller PDF

Author: Stephen E. Fienberg

Publisher: Springer Science & Business Media

Published: 2007-02-01

Total Pages: 651

ISBN-13: 0387449566

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One of the best known statisticians of the 20th century, Frederick Mosteller has inspired numerous statisticians and other scientists by his creative approach to statistics and its applications. This volume collects 40 of his most original and influential papers, capturing the variety and depth of his writings. It is hoped that sharing these writings with a new generation of researchers will inspire them to build upon his insights and efforts.