Exposition of the Theory of Chances and Probabilities
Author | : Antoine Augustin Cournot |
Publisher | : |
Total Pages | : 246 |
Release | : 2013 |
Genre | : Chance |
ISBN | : 9783942944311 |
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Author | : Antoine Augustin Cournot |
Publisher | : |
Total Pages | : 246 |
Release | : 2013 |
Genre | : Chance |
ISBN | : 9783942944311 |
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.
Author | : Parimal Mukhopadhyay |
Publisher | : World Scientific |
Total Pages | : 493 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 9814313424 |
The Theory of Probability is a major tool that can be used to explain and understand the various phenomena in different natural, physical and social sciences. This book provides a systematic exposition of the theory in a setting which contains a balanced mixture of the classical approach and the modern day axiomatic approach. After reviewing the basis of the theory, the book considers univariate distributions, bivariate normal distribution, multinomial distribution and convergence of random variables. Difficult ideas have been explained lucidly and have been augmented with explanatory notes, examples and exercises. The basic requirement for reading this book is simply a knowledge of mathematics at graduate level. This book tries to explain the difficult ideas in the axiomatic approach to the theory of probability in a clear and comprehensible manner. It includes several unusual distributions including the power series distribution that have been covered in great detail. Readers will find many worked-out examples and exercises with hints, which will make the book easily readable and engaging. The author is a former Professor of the Indian Statistical Institute, India.
Author | : Boris Vladimirovich Gnedenko |
Publisher | : Courier Corporation |
Total Pages | : 162 |
Release | : 1962-01-01 |
Genre | : Mathematics |
ISBN | : 0486601552 |
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.
Author | : |
Publisher | : Allied Publishers |
Total Pages | : 436 |
Release | : 2013 |
Genre | : |
ISBN | : 9788177644517 |
Probability theory
Author | : Edward Nelson |
Publisher | : Princeton University Press |
Total Pages | : 112 |
Release | : 1987 |
Genre | : Mathematics |
ISBN | : 9780691084749 |
Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the results into conventional form.
Author | : Vladimir Rotar |
Publisher | : World Scientific Publishing Company |
Total Pages | : 434 |
Release | : 1998-01-15 |
Genre | : Mathematics |
ISBN | : 9813104848 |
This book presents a rigorous exposition of probability theory for a variety of applications. The first part of the book is a self-contained account of the fundamentals. Material suitable for advanced study is then developed from the basic concepts. Emphasis is placed on examples, sound interpretation of results and scope for applications.A distinctive feature of the book is that it discusses modern applications seldom covered in traditional texts. Two cases in point are risk theory (or comparison of distributions) and stochastic optimization. The book also includes some recent developments of probability theory, for example limit theorems for sums of dependent variables, nonlinear and nonclassical limit theorems. Simplified proofs and a unified approach to the exposition of many results are other key features.The book may be used as a textbook for graduate students and advanced undergraduates, and as a work of reference.
Author | : Y. A. Rozanov |
Publisher | : Courier Corporation |
Total Pages | : 162 |
Release | : 2013-05-27 |
Genre | : Mathematics |
ISBN | : 0486321142 |
This clear exposition begins with basic concepts and moves on to combination of events, dependent events and random variables, Bernoulli trials and the De Moivre-Laplace theorem, and more. Includes 150 problems, many with answers.
Author | : Theodore Hailperin |
Publisher | : |
Total Pages | : 245 |
Release | : 1976 |
Genre | : Algebra, Boolean |
ISBN | : 9780720422009 |