# the foundations of statistics dover books on mathematics

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## The Foundations Of Statistics

**Author :**Leonard J. Savage

**ISBN :**9780486137100

**Genre :**Mathematics

**File Size :**31. 65 MB

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Classic analysis of the foundations of statistics and development of personal probability, one of the greatest controversies in modern statistical thought. Revised edition. Calculus, probability, statistics, and Boolean algebra are recommended.

## Mathematical Foundations Of Statistical Mechanics

**Author :**Aleksandr I?Akovlevich Khinchin

**ISBN :**0486601471

**Genre :**Mathematics

**File Size :**88. 91 MB

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Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.

## Foundations Of Statistical Mechanics

**Author :**Oliver Penrose

**ISBN :**9780486438702

**Genre :**Science

**File Size :**76. 4 MB

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Starting with primary physical assumptions and their idealization in the form of postulates, this text examines the consequences of these postulates, concluding with an analysis of entropy. Solutions. 1970 edition.

## Foundations Of Probability

**Author :**Alfred Renyi

**ISBN :**9780486462615

**Genre :**Mathematics

**File Size :**29. 85 MB

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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.

## Probability Statistics And Truth

**Author :**Richard Von Mises

**ISBN :**9780486242149

**Genre :**Mathematics

**File Size :**29. 95 MB

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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.

## Methods Of Mathematics Applied To Calculus Probability And Statistics

**Author :**Richard W. Hamming

**ISBN :**9780486138879

**Genre :**Mathematics

**File Size :**35. 60 MB

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This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.

## How To Gamble If You Must

**Author :**Lester E. Dubins

**ISBN :**9780486780641

**Genre :**Mathematics

**File Size :**28. 93 MB

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This classic of advanced statistics is geared toward graduate-level readers and uses the concepts of gambling to develop important ideas in probability theory. The authors have distilled the essence of many years' research into a dozen concise chapters. "Strongly recommended" by the Journal of the American Statistical Association upon its initial publication, this revised and updated edition features contributions from two well-known statisticians that include a new Preface, updated references, and findings from recent research. Following an introductory chapter, the book formulates the gambler's problem and discusses gambling strategies. Succeeding chapters explore the properties associated with casinos and certain measures of subfairness. Concluding chapters relate the scope of the gambler's problems to more general mathematical ideas, including dynamic programming, Bayesian statistics, and stochastic processes. Dover (2014) revised and updated republication of the 1976 Dover edition entitled Inequalities for Stochastic Processes. See every Dover book in print at www.doverpublications.com

## Good Thinking

**Author :**Irving John Good

**ISBN :**9781452910147

**Genre :**Mathematics

**File Size :**62. 25 MB

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Good Thinking was first published in 1983.Good Thinking is a representative sampling of I. J. Good's writing on a wide range of questions about the foundations of statistical inference, especially where induction intersects with philosophy. Good believes that clear reasoning about many important practical and philosophical questions is impossible except in terms of probability. This book collects from various published sources 23 of Good's articles with an emphasis on more philosophical than mathematical.He covers such topics as rational decisions, randomness, operational research, measurement of knowledge, mathematical discovery, artificial intelligence, cognitive psychology, chess, and the nature of probability itself. In spite of the wide variety of topics covered, Good Thinking is based on a unified philosophy which makes it more than the sum of its parts. The papers are organized into five sections: Bayesian Rationality; Probability; Corroboration, Hypothesis Testing, and Simplicity; Information and Surprise; and Causality and Explanation. The numerous references, an extensive index, and a bibliography guide the reader to related modern and historic literature.This collection makes available to a wide audience, for the first time, the most accessible work of a very creative thinker. Philosophers of science, mathematicians, scientists, and, in Good's words, anyone who wants “to understand understanding, to reason about reasoning, to explain explanation, to think about thought, and to decide how to decide” will find Good Thinking a stimulating and provocative look at probability.

## Information Theory And Statistics

**Author :**Solomon Kullback

**ISBN :**9780486142043

**Genre :**Mathematics

**File Size :**71. 91 MB

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Highly useful text studies logarithmic measures of information and their application to testing statistical hypotheses. Includes numerous worked examples and problems. References. Glossary. Appendix. 1968 2nd, revised edition.

## Foundations Of The Theory Of Probability

**Author :**A.N. Kolmogorov

**ISBN :**9780486829791

**Genre :**Mathematics

**File Size :**22. 77 MB

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This famous little book remains a foundational text for the understanding of probability theory, important both to students beginning a serious study of probability and to historians of modern mathematics. 1956 second edition.