Theory of Probability

Theory of Probability
Title Theory of Probability PDF eBook
Author Bruno De Finetti
Publisher John Wiley & Sons
Pages 0
Release 1992-06
Genre Probabilities
ISBN 9780471588825

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The Theory of Probability

The Theory of Probability
Title The Theory of Probability PDF eBook
Author Santosh S. Venkatesh
Publisher Cambridge University Press
Pages 830
Release 2013
Genre Mathematics
ISBN 1107024471

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From classical foundations to modern theory, this comprehensive guide to probability interweaves mathematical proofs, historical context and detailed illustrative applications.

Probability Theory

Probability Theory
Title Probability Theory PDF eBook
Author Achim Klenke
Publisher Springer Science & Business Media
Pages 621
Release 2007-12-31
Genre Mathematics
ISBN 1848000480

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Aimed primarily at graduate students and researchers, this text is a comprehensive course in modern probability theory and its measure-theoretical foundations. It covers a wide variety of topics, many of which are not usually found in introductory textbooks. The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts in the world of probability theory. In addition, plenty of figures, computer simulations, biographic details of key mathematicians, and a wealth of examples support and enliven the presentation.

An Elementary Introduction to the Theory of Probability

An Elementary Introduction to the Theory of Probability
Title An Elementary Introduction to the Theory of Probability PDF eBook
Author Boris Vladimirovich Gnedenko
Publisher Courier Corporation
Pages 162
Release 1962-01-01
Genre Mathematics
ISBN 0486601552

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This compact volume equips the reader with all the facts and principles essential to a fundamental understanding of the theory of probability. It is an introduction, no more: throughout the book the authors discuss the theory of probability for situations having only a finite number of possibilities, and the mathematics employed is held to the elementary level. But within its purposely restricted range it is extremely thorough, well organized, and absolutely authoritative. It is the only English translation of the latest revised Russian edition; and it is the only current translation on the market that has been checked and approved by Gnedenko himself. After explaining in simple terms the meaning of the concept of probability and the means by which an event is declared to be in practice, impossible, the authors take up the processes involved in the calculation of probabilities. They survey the rules for addition and multiplication of probabilities, the concept of conditional probability, the formula for total probability, Bayes's formula, Bernoulli's scheme and theorem, the concepts of random variables, insufficiency of the mean value for the characterization of a random variable, methods of measuring the variance of a random variable, theorems on the standard deviation, the Chebyshev inequality, normal laws of distribution, distribution curves, properties of normal distribution curves, and related topics. The book is unique in that, while there are several high school and college textbooks available on this subject, there is no other popular treatment for the layman that contains quite the same material presented with the same degree of clarity and authenticity. Anyone who desires a fundamental grasp of this increasingly important subject cannot do better than to start with this book. New preface for Dover edition by B. V. Gnedenko.

The Theory of Probability

The Theory of Probability
Title The Theory of Probability PDF eBook
Author Harold Jeffreys
Publisher OUP Oxford
Pages 474
Release 1998-08-06
Genre Science
ISBN 0191589675

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Another title in the reissued Oxford Classic Texts in the Physical Sciences series, Jeffrey's Theory of Probability, first published in 1939, was the first to develop a fundamental theory of scientific inference based on the ideas of Bayesian statistics. His ideas were way ahead of their time and it is only in the past ten years that the subject of Bayes' factors has been significantly developed and extended. Until recently the two schools of statistics (Bayesian and Frequentist) were distinctly different and set apart. Recent work (aided by increased computer power and availability) has changed all that and today's graduate students and researchers all require an understanding of Bayesian ideas. This book is their starting point.

Probability Theory

Probability Theory
Title Probability Theory PDF eBook
Author
Publisher Allied Publishers
Pages 436
Release 2013
Genre
ISBN 9788177644517

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Probability theory

Mathematical Theory of Probability and Statistics

Mathematical Theory of Probability and Statistics
Title Mathematical Theory of Probability and Statistics PDF eBook
Author Richard von Mises
Publisher Academic Press
Pages 709
Release 2014-05-12
Genre Mathematics
ISBN 1483264025

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Mathematical Theory of Probability and Statistics focuses on the contributions and influence of Richard von Mises on the processes, methodologies, and approaches involved in the mathematical theory of probability and statistics. The publication first elaborates on fundamentals, general label space, and basic properties of distributions. Discussions focus on Gaussian distribution, Poisson distribution, mean value variance and other moments, non-countable label space, basic assumptions, operations, and distribution function. The text then ponders on examples of combined operations and summation of chance variables characteristic function. The book takes a look at the asymptotic distribution of the sum of chance variables and probability inference. Topics include inference from a finite number of observations, law of large numbers, asymptotic distributions, limit distribution of the sum of independent discrete random variables, probability of the sum of rare events, and probability density. The text also focuses on the introduction to the theory of statistical functions and multivariate statistics. The publication is a dependable source of information for researchers interested in the mathematical theory of probability and statistics