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The Resource A history of parametric statistical inference from Bernoulli to Fisher, 1713-1935, Anders Hald, (electronic book)

A history of parametric statistical inference from Bernoulli to Fisher, 1713-1935, Anders Hald, (electronic book)

Label
A history of parametric statistical inference from Bernoulli to Fisher, 1713-1935
Title
A history of parametric statistical inference from Bernoulli to Fisher, 1713-1935
Statement of responsibility
Anders Hald
Creator
Subject
Language
eng
Member of
Biography type
contains biographical information
Cataloging source
COO
http://library.link/vocab/creatorDate
1913-
http://library.link/vocab/creatorName
Hald, Anders
Dewey number
519.5/4
Illustrations
illustrations
Index
index present
LC call number
QA276.15
LC item number
.H353 2007
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Sources and studies in the history of mathematics and physical sciences
http://library.link/vocab/subjectName
  • Mathematical statistics
  • Mathematics
  • History of Mathematics
  • Probability Theory and Stochastic Processes
  • Statistical Theory and Methods
  • Statistique mathématique
Label
A history of parametric statistical inference from Bernoulli to Fisher, 1713-1935, Anders Hald, (electronic book)
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 201-215) and indexes
Contents
  • 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
  • pt. 2.
  • Statistical inference by inverse probability : Inverse probability from Laplace (1774), and Gauss (1809) to Edgeworth (1909)
  • 5.
  • Laplace's theory of inverse probability, 1774-1786
  • 6.
  • A nonprobabilistic interlude: the fitting of equations to data, 1750-1805
  • 7.
  • Preface
  • 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
  • 1.
  • The three revolutions in parametric statistical inference
  • pt. 1.
  • Binomial statistical inference : the three pioneers : Bernoulli (1713), de Moivre (1733), and Bayes (1764)
  • 2.
  • James Bernoulli's law of large numbers for the binomial, 1713, and its generalization
  • 3.
  • 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
  • pt. 5.
  • The Fisherian revolution, 1912-1935
  • pt. 3.
  • 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
  • References
  • Subject index
  • The central limit theorem and linear minimum variance estimation by Laplace and Gauss
  • Author index
  • 12.
  • Laplace's central limit theorem and linear minimum variance estimation
  • 13.
  • Gauss's theory of linear minimum variance estimation
  • pt. 4.
  • Error theory, skew distributions : Correlation, sampling distributions
Control code
SPR288524613
Dimensions
unknown
Extent
1 online resource (ix, 223 p.)
Form of item
online
Isbn
9786611861049
Other physical details
ill.
Specific material designation
remote
Label
A history of parametric statistical inference from Bernoulli to Fisher, 1713-1935, Anders Hald, (electronic book)
Publication
Bibliography note
Includes bibliographical references (p. 201-215) and indexes
Contents
  • 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
  • pt. 2.
  • Statistical inference by inverse probability : Inverse probability from Laplace (1774), and Gauss (1809) to Edgeworth (1909)
  • 5.
  • Laplace's theory of inverse probability, 1774-1786
  • 6.
  • A nonprobabilistic interlude: the fitting of equations to data, 1750-1805
  • 7.
  • Preface
  • 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
  • 1.
  • The three revolutions in parametric statistical inference
  • pt. 1.
  • Binomial statistical inference : the three pioneers : Bernoulli (1713), de Moivre (1733), and Bayes (1764)
  • 2.
  • James Bernoulli's law of large numbers for the binomial, 1713, and its generalization
  • 3.
  • 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
  • pt. 5.
  • The Fisherian revolution, 1912-1935
  • pt. 3.
  • 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
  • References
  • Subject index
  • The central limit theorem and linear minimum variance estimation by Laplace and Gauss
  • Author index
  • 12.
  • Laplace's central limit theorem and linear minimum variance estimation
  • 13.
  • Gauss's theory of linear minimum variance estimation
  • pt. 4.
  • Error theory, skew distributions : Correlation, sampling distributions
Control code
SPR288524613
Dimensions
unknown
Extent
1 online resource (ix, 223 p.)
Form of item
online
Isbn
9786611861049
Other physical details
ill.
Specific material designation
remote

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