Foundations of the Theory of Probability

Foundations of the Theory of Probability
Author: A. N. Kolmogorov
Publisher: American Mathematical Soc.
Total Pages: 94
Release: 2019-06-04
Genre: Education
ISBN: 1470452995

AMS Chelsea Publishing: An Imprint of the American Mathematical Society

Foundations of Modern Probability

Foundations of Modern Probability
Author: Olav Kallenberg
Publisher: Springer Science & Business Media
Total Pages: 670
Release: 2002-01-08
Genre: Mathematics
ISBN: 9780387953137

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.

The Theory of Probability

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

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.

The Theory of Probability

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

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

Philosophical Foundations of Probability Theory

Philosophical Foundations of Probability Theory
Author: Roy Weatherford
Publisher: Taylor & Francis
Total Pages: 220
Release: 2022-06-01
Genre: Philosophy
ISBN: 1000626091

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.

Concepts of Probability Theory

Concepts of Probability Theory
Author: Paul E. Pfeiffer
Publisher: Courier Corporation
Total Pages: 418
Release: 2013-05-13
Genre: Mathematics
ISBN: 0486165663

Using the Kolmogorov model, this intermediate-level text discusses random variables, probability distributions, mathematical expectation, random processes, more. For advanced undergraduates students of science, engineering, or math. Includes problems with answers and six appendixes. 1965 edition.

Foundations of Constructive Probability Theory

Foundations of Constructive Probability Theory
Author: Yuen-Kwok Chan
Publisher: Cambridge University Press
Total Pages: 627
Release: 2021-05-27
Genre: Mathematics
ISBN: 1108835430

This book provides a systematic and general theory of probability within the framework of constructive mathematics.

Probability, Statistics, and Truth

Probability, Statistics, and Truth
Author: Richard Von Mises
Publisher: Courier Corporation
Total Pages: 273
Release: 1981-01-01
Genre: Mathematics
ISBN: 0486242145

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.

Probability

Probability
Author: Rick Durrett
Publisher: Cambridge University Press
Total Pages:
Release: 2010-08-30
Genre: Mathematics
ISBN: 113949113X

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.