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

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Cover of Anders Hald: A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935 (PDF)

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 De Moivre, James Bernoulli, and Lagrange.

€90.94
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Table of Content

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.
Language English ● Format PDF ● Pages 225 ● ISBN 9780387464091 ● File size 2.0 MB ● Publisher Springer New York ● City NY ● Country US ● Published 2008 ● Downloadable 24 months ● Currency EUR ● ID 2145176 ● Copy protection Adobe DRM
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