Foundations Of Probability

Author : Alfred Renyi
Publisher : Courier Corporation
ISBN 13 : 0486462617
Total Pages : 386 pages
Book Rating : 4.15/5 ( download)

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Download or read book Foundations of Probability written by Alfred Renyi and published by Courier Corporation. This book was released on 2007-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing many innovations in content and methods, this book involves the foundations, basic concepts, and fundamental results of probability theory. Geared toward readers seeking a firm basis for study of mathematical statistics or information theory, it also covers the mathematical notions of experiments and independence. 1970 edition.

Author : Olav Kallenberg
Publisher : Springer Science & Business Media
ISBN 13 : 9780387953137
Total Pages : 670 pages
Book Rating : 4.32/5 ( download)

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Download or read book Foundations of Modern Probability written by Olav Kallenberg and published by Springer Science & Business Media. This book was released on 2002-01-08 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this single volume on the theory of probability has become a highly-praised standard reference for many areas of probability theory. Chapters from the first edition have been revised and corrected, and this edition contains four new chapters. New material covered includes multivariate and ratio ergodic theorems, shift coupling, Palm distributions, Harris recurrence, invariant measures, and strong and weak ergodicity.

Author : Joel A. Nachlas
Publisher : CRC Press
ISBN 13 : 1000855945
Total Pages : 186 pages
Book Rating : 4.44/5 ( download)

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Download or read book Probability Foundations for Engineers written by Joel A. Nachlas and published by CRC Press. This book was released on 2023-04-04 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook will continue to be the best suitable textbook written specifically for a first course on probability theory and designed for industrial engineering and operations management students. The book offers theory in an accessible manner and includes numerous practical examples based on engineering applications. Probability Foundations for Engineers, Second Edition continues to focus specifically on probability rather than probability and statistics. It offers a conversational presentation rather than a theorem or proof and includes examples based on engineering applications as it highlights Excel computations. This new edition presents a review of set theory and updates all descriptions, such as events versus outcomes, so that they are more understandable. Additional new material includes distributions such as beta and lognormal, a section on counting principles for defining probabilities, a section on mixture distributions and a pair of distribution summary tables. Intended for undergraduate engineering students, this new edition textbook offers a foundational knowledge of probability. It is also useful to engineers already in the field who want to learn more about probability concepts. An updated solutions manual is available for qualified textbook adoptions.

Author : Glenn Shafer
Publisher : John Wiley & Sons
ISBN 13 : 1118547934
Total Pages : 480 pages
Book Rating : 4.39/5 ( download)

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Download or read book Game-Theoretic Foundations for Probability and Finance written by Glenn Shafer and published by John Wiley & Sons. This book was released on 2019-03-21 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game-theoretic probability and finance come of age Glenn Shafer and Vladimir Vovk’s Probability and Finance, published in 2001, showed that perfect-information games can be used to define mathematical probability. Based on fifteen years of further research, Game-Theoretic Foundations for Probability and Finance presents a mature view of the foundational role game theory can play. Its account of probability theory opens the way to new methods of prediction and testing and makes many statistical methods more transparent and widely usable. Its contributions to finance theory include purely game-theoretic accounts of Ito’s stochastic calculus, the capital asset pricing model, the equity premium, and portfolio theory. Game-Theoretic Foundations for Probability and Finance is a book of research. It is also a teaching resource. Each chapter is supplemented with carefully designed exercises and notes relating the new theory to its historical context. Praise from early readers “Ever since Kolmogorov's Grundbegriffe, the standard mathematical treatment of probability theory has been measure-theoretic. In this ground-breaking work, Shafer and Vovk give a game-theoretic foundation instead. While being just as rigorous, the game-theoretic approach allows for vast and useful generalizations of classical measure-theoretic results, while also giving rise to new, radical ideas for prediction, statistics and mathematical finance without stochastic assumptions. The authors set out their theory in great detail, resulting in what is definitely one of the most important books on the foundations of probability to have appeared in the last few decades.” – Peter Grünwald, CWI and University of Leiden “Shafer and Vovk have thoroughly re-written their 2001 book on the game-theoretic foundations for probability and for finance. They have included an account of the tremendous growth that has occurred since, in the game-theoretic and pathwise approaches to stochastic analysis and in their applications to continuous-time finance. This new book will undoubtedly spur a better understanding of the foundations of these very important fields, and we should all be grateful to its authors.” – Ioannis Karatzas, Columbia University

Author : Irving J. Good
Publisher : Courier Corporation
ISBN 13 : 0486474380
Total Pages : 353 pages
Book Rating : 4.80/5 ( download)

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Download or read book Good Thinking written by Irving J. Good and published by Courier Corporation. This book was released on 2009-11-18 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: These sparkling essays by a gifted thinker offer philosophical views on the roots of statistical interference. A pioneer in the early development of computing, Irving J. Good made fundamental contributions to the theory of Bayesian inference and was a key member of the team that broke the German Enigma code during World War II. Good maintains that a grasp of probability is essential to answering both practical and philosophical questions. This compilation of his most accessible works concentrates on philosophical rather than mathematical subjects, ranging from rational decisions, randomness, and the nature of probability to operational research, artificial intelligence, cognitive psychology, and chess. These twenty-three self-contained articles represent the author's work in a variety of fields but are unified by a consistently rational approach. Five closely related sections explore Bayesian rationality; probability; corroboration, hypothesis testing, and simplicity; information and surprise; and causality and explanation. A comprehensive index, abundant references, and a bibliography refer readers to classic and modern literature. Good's thought-provoking observations and memorable examples provide scientists, mathematicians, and historians of science with a coherent view of probability and its applications.

Author : A. N. Kolmogorov
Publisher : American Mathematical Soc.
ISBN 13 : 1470452995
Total Pages : 84 pages
Book Rating : 4.95/5 ( download)

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Download or read book Foundations of the Theory of Probability written by A. N. Kolmogorov and published by American Mathematical Soc.. This book was released on 2019-06-04 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: AMS Chelsea Publishing: An Imprint of the American Mathematical Society

Author : Yuen-Kwok Chan
Publisher : Cambridge University Press
ISBN 13 : 1108835430
Total Pages : 627 pages
Book Rating : 4.35/5 ( download)

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Download or read book Foundations of Constructive Probability Theory written by Yuen-Kwok Chan and published by Cambridge University Press. This book was released on 2021-05-27 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic and general theory of probability within the framework of constructive mathematics.

Author : Siegfried Graf
Publisher : Springer
ISBN 13 : 3540455779
Total Pages : 238 pages
Book Rating : 4.76/5 ( download)

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Download or read book Foundations of Quantization for Probability Distributions written by Siegfried Graf and published by Springer. This book was released on 2007-05-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the rapidly increasing need for methods of data compression, quantization has become a flourishing field in signal and image processing and information theory. The same techniques are also used in statistics (cluster analysis), pattern recognition, and operations research (optimal location of service centers). The book gives the first mathematically rigorous account of the fundamental theory underlying these applications. The emphasis is on the asymptotics of quantization errors for absolutely continuous and special classes of singular probabilities (surface measures, self-similar measures) presenting some new results for the first time. Written for researchers and graduate students in probability theory the monograph is of potential interest to all people working in the disciplines mentioned above.

Author : W.L. Harper
Publisher : Springer Science & Business Media
ISBN 13 : 9789027706171
Total Pages : 334 pages
Book Rating : 4.74/5 ( download)

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Download or read book Foundations and Philosophy of Epistemic Applications of Probability Theory written by W.L. Harper and published by Springer Science & Business Media. This book was released on 1976 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of an International Research Colloquium held at the University of Western Ontario, 10-13 May 1973.

Author : M. M. Rao
Publisher : Courier Corporation
ISBN 13 : 0486296539
Total Pages : 320 pages
Book Rating : 4.31/5 ( download)

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Download or read book Foundations of Stochastic Analysis written by M. M. Rao and published by Courier Corporation. This book was released on 2013-04-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume considers fundamental theories and contrasts the natural interplay between real and abstract methods. No prior knowledge of probability is assumed. Numerous problems, most with hints. 1981 edition.