An Introduction to Mathematical Probability (Classic Reprint)
Julian Lowell Coolidge
ISBN 10: 0265913896 ISBN 13: 9780265913895
Published by Forgotten Books, 2018
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Excerpt from An Introduction to Mathematical Probability
The subjects of mean value and expectation, which have always played a central role in the theory of probabilities, have taken on additional importance in recent years, owing to the idea of dispersion, and its application to statistical series. For that reason they have been given a good deal of prominence. Per contra, geometrical probability, which is little more than a plaything, and the probability of causes, which rests on very shaky foundations, are treated briefly. Yet they should not be omitted entirely, for the former is related to statistical mechanics, and the latter gives the only answers we have to certain questions which recur insistently.
The most important part of the theory is that which deals with the distribution of errors of observation. The funda mental question here is what to do with the exponential law of Gauss. I have tried to make it as plausible as I could by basing it, on very broad assumptions, even though this adds somewhat to the length of the deduction. I have, however, given the principles of combining observations as far as possible independently of the Gaussian law. The study of errors in two dimensions, which formerly interested few but students of artillery practice, has taken on a new importance through its relation to statistical correlation.
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Title: An Introduction to Mathematical Probability ...
Publisher: Forgotten Books
Publication Date: 2018
Binding: PAP
Condition: New
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An Introduction to Mathematical Probability (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book offers a detailed examination of the mathematical theory of probability, a field of study that emerged from attempts to understand games of chance. The author traces the evolution of probability theory from its origins in the 17th century to its current applications in fields such as statistics, insurance, and data analysis. The book provides a comprehensive and accessible introduction to the fundamental concepts of probability, including Bayes' theorem, the law of large numbers, and the central limit theorem. It also explores advanced topics such as Markov chains, stochastic processes, and the foundations of statistical inference. This book will be of interest to students, researchers, and practitioners in probability and statistics, as well as anyone interested in the historical development of mathematical ideas. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780265913895_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780265913895
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