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商品詳細
A History of Parametric Statistical Inference from Bernoulli to Fischer, 1713 - 1935. ベルヌーイからフィッシャーまでの パラメトリック統計的推論の歴史 1713～1935年
・ISBN 978-0-387-46408-4 hard EUR 99.99
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| 著者・編者 | Hald, Anders, |
|---|---|
| シリーズ | Sources and Studies in the History of Mathematics and Physical Sciences |
| 出版社 | (Springer, US) |
| 出版年月 | 2007 |
| ページ数 | xiv, 224 pp. |
| 言語 | ENG |
| ニュース番号 | ＜541-226＞ |
解説
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.