Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times

Classic Topics on the History of Modern Mathematical Statistics: From Laplace to More Recent Times

Prakash Gorroochurn


This e-book offers a transparent and complete consultant to the heritage of mathematical statistics, together with info at the significant effects and the most important advancements over a 2 hundred yr interval. the writer makes a speciality of key old advancements in addition to the controversies and disagreements that have been generated therefore. awarded in chronological order, the booklet beneficial properties an account of the classical and glossy works which are necessary to figuring out the functions of mathematical information. The e-book starts off with broad insurance of the probabilistic works of Laplace, who laid a lot of the rules of later advancements in statistical conception. therefore, the second one half introduces twentieth century statistical advancements together with paintings from Fisher, Neyman and Pearson. a close account of Galton's discovery of regression and correlation is supplied, and the next improvement of Karl Pearson's X2 and Student's t is mentioned. subsequent, the writer offers major assurance of Fisher's works and supreme impact on smooth information. The 3rd and ultimate a part of the ebook offers with post-Fisherian advancements, together with extensions to Fisher's conception of estimation (by Darmois, Koopman, Pitman, Aitken, Fréchet, Cramér, Rao, Blackwell, Lehmann, Scheffé, and Basu), Wald's statistical determination idea, and the Bayesian revival ushered via Ramsey, de Finetti, Savage, and Robbins within the first half the 20 th century.Throughout the e-book, the writer comprises information of a few of the replacement theories and disagreements about the historical past of recent records.

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