Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Hald, Anders (1913-2007)
Titre(s) : A history of parametric statistical inference from Bernoulli to Fisher, 1713-1935 [Texte électronique] / Anders Hald
Publication : New York : Springer, cop. 2007
Description matérielle : 1 online resource (ix, 223 pages)
Collection : Sources and studies in the history of mathematics and physical sciences
Note(s) : Includes bibliographical references (pages 201-215)-and indexes
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 many ideas and developments.
And unlike his other books, which were encyclopedic by nature, this book can be used
for a course on the topic, the only prerequisites being a basic course in probability
and statistics. The book is divided into five main sections: @* 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; @* The Fisherian Revolution, 1912-1935.
Throughout each of the chapters, the author provides lively biographical sketches
of many of the main characters, including Laplace, Gauss, Edgeworth, Fisher, and Karl
Pearson. He also examines the roles played by DeMoivre, James Bernoulli, and Lagrange,
and he provides an accessible exposition of the work of R.A. Fisher. This book will
be of interest to statisticians, mathematicians, undergraduate and graduate students,
and historians of science
Sujet(s) : Bernoulli, Jacques (1654-1705)
Moivre, Abraham de (1667-1754)
Bayes, Thomas (1702-1761)
Laplace, Pierre-Simon de (1749-1827)
Gauss, Carl Friedrich (1777-1855)
Edgeworth, Francis Ysidro (1845-1926)
Fisher, Ronald Aylmer (1890-1962)
Statistique mathématique -- Histoire
Indice(s) Dewey :
519.54 (23e éd.) = Inférence statistique
Identifiants, prix et caractéristiques : ISBN 9780387464091
Identifiant de la notice : ark:/12148/cb44642782g
Notice n° :
FRBNF44642782
(notice reprise d'un réservoir extérieur)
Table des matières : Preface --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 ; 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 ; 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
pt. 3 ; 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 --pt. 4 ; 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 --pt. 5 ; 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 -- ; References -- ; Subject index -- ; Author index.