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Titlebook: A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935; Anders Hald Book 2007 Springer-Verlag New York 2007 Fit

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发表于 2025-3-21 16:17:14 | 显示全部楼层 |阅读模式
期刊全称A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935
影响因子2023Anders Hald
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发行地址Written by an experienced author of history of statistics books.Contains exciting biographical sketches accompanied by photographs.Author clearly illuminates the writings of a difficult writer, R.A. F
学科分类Sources and Studies in the History of Mathematics and Physical Sciences
图书封面Titlebook: A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935;  Anders Hald Book 2007 Springer-Verlag New York 2007 Fit
影响因子.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 i
Pindex Book 2007
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发表于 2025-3-21 21:58:58 | 显示全部楼层
,Biodiversität — ein Schatz der Ökosysteme,caused him at the age of 21 to seek asylum in England. For the rest of his life he lived in London, earning his livelihood as a private tutor of mathematics and later also as a consultant to gamblers and insurance brokers. He became a prominent mathematician and a Fellow of the Royal Society in 1697
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,Natürliche Halbwüsten und Wüsten,ications of probability theory in his . [118]. On the limit theorems he writes (pp. 338–339):.An ingenious Friend has communicated to me a Solution of the inverse Problem, in which he has shewn what the Expectation is, when an event has happened . times, and failed . times, that the original Ratio o
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,Tropische Regenwälder und Mangroven,nknown parameters, and the .s random errors, distributed symmetrically about zero. Denoting the true value of . by η, the model may be described as a mathematical law giving the dependent variable η as a function of the independent variables ., ..., . with unknown errors of observation equal to ε =
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,Tropische Regenwälder und Mangroven,[159], II, §16) he uses the normal approximation to the binomial to find large-sample direct probability limits for the relative frequency as . Noting that . = . + .(.) so that . and neglecting terms of the order of . as in the two formulas above he solves the inequality (8.2) with respect to . and
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https://doi.org/10.1007/978-3-8349-6713-8l years he studied the classics at the universities of Dublin and Oxford, next he studied commercial law and qualified as a barrister, and finally he studied logic and mathematics on his own, using the acquired knowledge to write important books on ethics, utility, and economics.
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https://doi.org/10.1007/978-3-642-01475-8 their theory of linear minimum variance estimation on direct probability. Nevertheless inverse probability continued to be used; only few of the critics went as far as to reject the theory completely.
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