[PDF] Theories Of Probability eBook

Author : Terrence L. Fine
Publisher : Academic Press
Page : 276 pages
File Size : 35,31 MB
Release : 2014-05-10
Category : Mathematics
ISBN : 1483263894

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Theories of Probability: An Examination of Foundations reviews the theoretical foundations of probability, with emphasis on concepts that are important for the modeling of random phenomena and the design of information processing systems. Topics covered range from axiomatic comparative and quantitative probability to the role of relative frequency in the measurement of probability. Computational complexity and random sequences are also discussed. Comprised of nine chapters, this book begins with an introduction to different types of probability theories, followed by a detailed account of axiomatic formalizations of comparative and quantitative probability and the relations between them. Subsequent chapters focus on the Kolmogorov formalization of quantitative probability; the common interpretation of probability as a limit of the relative frequency of the number of occurrences of an event in repeated, unlinked trials of a random experiment; an improved theory for repeated random experiments; and the classical theory of probability. The book also examines the origin of subjective probability as a by-product of the development of individual judgments into decisions. Finally, it suggests that none of the known theories of probability covers the whole domain of engineering and scientific practice. This monograph will appeal to students and practitioners in the fields of mathematics and statistics as well as engineering and the physical and social sciences.

Author : Donald Gillies
Publisher : Routledge
Page : 239 pages
File Size : 16,7 MB
Release : 2012-09-10
Category : Philosophy
ISBN : 1134672454

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The Twentieth Century has seen a dramatic rise in the use of probability and statistics in almost all fields of research. This has stimulated many new philosophical ideas on probability. Philosophical Theories of Probability is the first book to present a clear, comprehensive and systematic account of these various theories and to explain how they relate to one another. Gillies also offers a distinctive version of the propensity theory of probability, and the intersubjective interpretation, which develops the subjective theory.

Author :
Publisher : Allied Publishers
Page : 436 pages
File Size : 14,58 MB
Release : 2013
Category :
ISBN : 9788177644517

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Probability theory

Author : Rick Durrett
Publisher : Cambridge University Press
Page : pages
File Size : 33,93 MB
Release : 2010-08-30
Category : Mathematics
ISBN : 113949113X

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This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.

Author : Roy Weatherford
Publisher : Taylor & Francis
Page : 220 pages
File Size : 24,91 MB
Release : 2022-06-01
Category : Philosophy
ISBN : 1000626091

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First published in 1982, Philosophical Foundations of Probability Theory starts with the uses we make of the concept in everyday life and then examines the rival theories that seek to account for these applications. It offers a critical exposition of the major philosophical theories of probability, with special attention given to the metaphysical and epistemological assumptions and implications of each. The Classical Theory suggests probability is simply the ratio of favorable cases to all equi-possible cases: it is this theory that is relied on by gamblers and by most non-specialists. The A Priori Theory, on the other hand, describes probability as a logical relation between statements based on evidence. The Relative Frequency theories locate it not in logic but among empirical rates of occurrence in the real world, while the Subjectivist Theory identifies probability with the degree of a person’s belief in a proposition. Each of these types of theory is examined in turn, and the treatment is unified by the use of running examples and parallel analyses of each theory. The final chapter includes a summary and the author’s conclusions. This book is an essential read for scholars and researchers of Philosophy.

Author : Malempati M. Rao
Publisher : Springer Science & Business Media
Page : 537 pages
File Size : 34,47 MB
Release : 2006-06-03
Category : Mathematics
ISBN : 0387277315

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This is a revised and expanded edition of a successful graduate and reference text. The book is designed for a standard graduate course on probability theory, including some important applications. The new edition offers a detailed treatment of the core area of probability, and both structural and limit results are presented in detail. Compared to the first edition, the material and presentation are better highlighted; each chapter is improved and updated.

Author : Richard Von Mises
Publisher : Courier Corporation
Page : 273 pages
File Size : 12,58 MB
Release : 1981-01-01
Category : Mathematics
ISBN : 0486242145

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This comprehensive study of probability considers the approaches of Pascal, Laplace, Poisson, and others. It also discusses Laws of Large Numbers, the theory of errors, and other relevant topics.

Author : K. L. Chung
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 33,35 MB
Release : 2013-03-09
Category : Mathematics
ISBN : 1475739737

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This book provides an elementary introduction to probability theory and its applications. The emphasis is on essential probabilistic reasoning, amply motivated, explained and illustrated with a large number of carefully selected samples. The fourth edition adds material related to mathematical finance, as well as expansions on stable laws and martingales.

Author : W.L. Harper
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 10,46 MB
Release : 1976
Category : Gardening
ISBN : 9789027706171

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Proceedings of an International Research Colloquium held at the University of Western Ontario, 10-13 May 1973.