統計学史 Theory of Probability Histstory (SpringerBriefs in Statistics)

Sheynin, O.

Springer（2012/02発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 119 p.
• 商品コード 9783642234798

Full Description

This book is intended for those interested in the history of mathematics or statistics; though it assumes a strong background in mathematics, it will also be useful for statisticians. Oskar Sheynin's exposition is based chiefly on his own investigations, published in the last 35 years, and a 2009 monograph. He concludes his observations with the axiomatization of probability and the birth of real mathematical statistics, i.e., at Kolmogorov and Fisher.

Contents

Introduction.- Prehistory.- Early History.- Jakob Bernoulli and the Law of Large Numbers.- De Moivre and the De Moivre -- Laplace Limit Theorem.- Bayes.- Other Investigations Before Laplace.- Laplace.- Poisson.- Gauss, Helmert, Bessel.- The Second Half of the Nineteenth Century.- Bertrand and Poincare.- Chebyshev.- Markov, Liapunov, Nekrasov.- The Birth of Mathematical Statistics.- Bibliography.- Index of Names. ai