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A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713–1935Bayes’s Posterior Distribution of the Binomial Parameter and His Rule for Inductive Inference, 1764

A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713–1935: Bayes’s... [The English physician and philosopher David Hartley (1705–1757), founder of the Associationist school of psychologists, discusses some elementary applications of probability theory in his Observations on Man [118]. On the limit theorems he writes (pp. 338–339): Mr. de Moivre has shown, that where the Causes of the Happening of an Event bear a fixed Ratio to those of its Failure, the Happenings must bear nearly the same Ratio to the Failures, if the Number of Trials be su cient; and that the last Ratio approaches to the first indefinitely, as the number of Trials increases. This may be considered as an elegant Method of accounting for that Order and Proportion, which we every-where see in the Phæomena of Nature. [...]] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713–1935Bayes’s Posterior Distribution of the Binomial Parameter and His Rule for Inductive Inference, 1764

Part of the Sources and Studies in the History of Mathematics and Physical Sciences Book Series
Springer Journals — Jan 1, 2007
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Publisher
Springer New York
Copyright
© Springer Science+Business Media, LLC 2007
ISBN
978-0-387-46408-4
Pages
25 –29
DOI
10.1007/978-0-387-46409-1_4
Publisher site
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Abstract

[The English physician and philosopher David Hartley (1705–1757), founder of the Associationist school of psychologists, discusses some elementary applications of probability theory in his Observations on Man [118]. On the limit theorems he writes (pp. 338–339): Mr. de Moivre has shown, that where the Causes of the Happening of an Event bear a fixed Ratio to those of its Failure, the Happenings must bear nearly the same Ratio to the Failures, if the Number of Trials be su cient; and that the last Ratio approaches to the first indefinitely, as the number of Trials increases. This may be considered as an elegant Method of accounting for that Order and Proportion, which we every-where see in the Phæomena of Nature. [...]]

Published: Jan 1, 2007

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