Hald, Anders
A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713–1935
1. The Three Revolutions in Parametric Statistical Inference
Part I. Binomial Statistical Inference
2. James Bernoulli’s Law of Large Numbers for the Binomial, 1713, and Its Generalization
3. De Moivre’s Normal Approximation to the Binomial, 1733, and Its Generalization
4. Bayes’s Posterior Distribution of the Binomial Parameter and His Rule for Inductive Inference, 1764
Part II. Statistical Inference by Inverse Probability
5. Laplace’s Theory of Inverse Probability, 1774–1786
6. A Nonprobabilistic Interlude: The Fitting of Equations to Data, 1750–1805
7. Gauss’s Derivation of the Normal Distribution and the Method of Least Squares, 1809
8. Credibility and Confidence Intervals by Laplace and Gauss
9. The Multivariate Posterior Distribution
10. Edgeworth’s Genuine Inverse Method and the Equivalence of Inverse and Direct Probability in Large Samples, 1908 and 1909
11. Criticisms of Inverse Probability
Part III. The Central Limit Theorem and Linear Minimum Variance Estimation by Laplace and Gauss
12. Laplace’s Central Limit Theorem and Linear Minimum Variance Estimation
13. Gauss’s Theory of Linear Minimum Variance Estimation
Part IV. Error Theory. Skew Distributions. Correlation. Sampling Distributions
14. The Development of a Frequentist Error Theory
15. Skew Distributions and the Method of Moments
16. Normal Correlation and Regression
17. Sampling Distributions Under Normality, 1876–1908
Part V. The Fisherian Revolution, 1912–1935
18. Fisher’s Early Papers, 1912–1921
19. The Revolutionary Paper, 1922
20. Studentization, the F Distribution, and the Analysis of Variance, 1922–1925
21. The Likelihood Function, Ancillarity, and Conditional Inference
DRM-restrictions
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Nyckelord: MATHEMATICS / General MAT000000
- Författare
- Hald, Anders
- Utgivare
- Springer
- Utgivningsår
- 2007
- Språk
- en
- Utgåva
- 1
- Kategori
- Naturvetenskaper
- Format
- E-bok
- eISBN (PDF)
- 9780387464091