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 ebook offers a transparent and complete consultant to the background of mathematical data, together with information at the significant effects and an important advancements over a 2 hundred yr interval. the writer makes a speciality of key historic advancements in addition to the controversies and disagreements that have been generated accordingly. offered in chronological order, the booklet gains an account of the classical and smooth works which are necessary to figuring out the functions of mathematical information. The ebook starts with huge insurance of the probabilistic works of Laplace, who laid a lot of the principles of later advancements in statistical concept. in this case, 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 following 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 sleek records. The 3rd and ultimate a part of the e-book bargains 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 selection idea, and the Bayesian revival ushered by way of Ramsey, de Finetti, Savage, and Robbins within the first half the twentieth century.Throughout the publication, the writer comprises info of many of the replacement theories and disagreements in regards to the heritage of contemporary facts.

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