A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935
This is a history of parametric statistical inference, written by one of the most important historians of statistics of the 20th century, Anders Hald. This book can be viewed as a follow-up to his two most recent books, although this current text is much more streamlined and contains new analysis of...
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| Language: | English |
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New York, NY :
Springer New York : Imprint: Springer,
2007.
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| Edition: | 1st ed. 2007. |
| Series: | Sources and Studies in the History of Mathematics and Physical Sciences,
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| Online Access: | https://doi.org/10.1007/978-0-387-46409-1 |
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.