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A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935 Anders Hald

A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935 By Anders Hald

A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935 by Anders Hald

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Summary

This book offers a detailed history of parametric statistical inference. Fisher, it examines: binomial statistical inference; statistical inference by inverse probability; Lively biographical sketches of many of the main characters are featured throughout, including Laplace, Gauss, Edgeworth, Fisher, and Karl Pearson.

A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935 Summary

A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935 by Anders Hald

This book offers a detailed history of parametric statistical inference. Covering the period between James Bernoulli and R.A. Fisher, it examines: binomial statistical inference; statistical inference by inverse probability; the central limit theorem and linear minimum variance estimation by Laplace and Gauss; error theory, skew distributions, correlation, sampling distributions; and the Fisherian Revolution. Lively biographical sketches of many of the main characters are featured throughout, including Laplace, Gauss, Edgeworth, Fisher, and Karl Pearson. Also examined are the roles played by DeMoivre, James Bernoulli, and Lagrange.

A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935 Reviews

From the reviews:

In this very enjoyable and interesting book, Hald ... presents his subject in a very lively style; many ideas and developments in statistics are treated with great clarity. It is very suitable as a course resource in history of statistical inference ... . Throughout, the author provides brief biographical sketches of researchers whose contributions to statistics are included here. ... A very useful and valuable work on the history of statistical inference. ... Summing Up: Highly recommended. Lower- and upper-division undergraduates through faculty. (D. V. Chopra, CHOICE, Vol. 44 (11), July, 2007)

This is a useful account of the historical development of the theory that underlies the empirically observed stability of data averages for large samples and how their precision may be measured. ... The resultant book is a suitable text for a one-semester course on what is arguably the core piece of statistical history. (C. C. Heyde, SIAM Review, Vol. 50 (1), 2008)

Table of Contents

The Three Revolutions in Parametric Statistical Inference.- The Three Revolutions in Parametric Statistical Inference.- Binomial Statistical Inference.- James Bernoulli's Law of Large Numbers for the Binomial, 1713, and Its Generalization.- De Moivre's Normal Approximation to the Binomial, 1733, and Its Generalization.- Bayes's Posterior Distribution of the Binomial Parameter and His Rule for Inductive Inference, 1764.- Statistical Inference by Inverse Probability.- Laplace's Theory of Inverse Probability, 1774-1786.- A Nonprobabilistic Interlude: The Fitting of Equations to Data, 1750-1805.- Gauss's Derivation of the Normal Distribution and the Method of Least Squares, 1809.- Credibility and Confidence Intervals by Laplace and Gauss.- The Multivariate Posterior Distribution.- Edgeworth's Genuine Inverse Method and the Equivalence of Inverse and Direct Probability in Large Samples, 1908 and 1909.- Criticisms of Inverse Probability.- The Central Limit Theorem and Linear Minimum Variance Estimation by Laplace and Gauss.- Laplace's Central Limit Theorem and Linear Minimum Variance Estimation.- Gauss's Theory of Linear Minimum Variance Estimation.- Error Theory. Skew Distributions. Correlation. Sampling Distributions.- The Development of a Frequentist Error Theory.- Skew Distributions and the Method of Moments.- Normal Correlation and Regression.- Sampling Distributions Under Normality, 1876-1908.- The Fisherian Revolution, 1912-1935.- Fisher's Early Papers, 1912-1921.- The Revolutionary Paper, 1922.- Studentization, the F Distribution, and the Analysis of Variance, 1922-1925.- The Likelihood Function, Ancillarity, and Conditional Inference.

Additional information

NLS9781441923639
9781441923639
1441923632
A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935 by Anders Hald
Anders Hald
Sources and Studies in the History of Mathematics and Physical Sciences
New
Paperback
Springer-Verlag New York Inc.
2010-11-19
225
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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