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The statisticians of the 19th century as readers of Jakob Bernoulli. (Les statisticiens du XIX\(^{\text{e}}\) siècle lecteurs de Jacques Bernoulli.) (French. English summary) Zbl 1105.01008

The author studies the influence of J. Bernoulli’s Ars Conjectandi [Jacques Bernoulli et l’ars conjectandi. Documents pour l’étude de l’émergence d’une mathématisation de la stochastique. Trad. du latin par Bernard Lalande et Norbert Meusnier. (Jacques Bernoulli and the art of conjecture. Documents for the study of the emergence of a mathematization of stochastics. Transl. from the Latin by B. Lalande and N. Meusnier). Mont Saint Aignan: Univ. de Rouen Haute Normandie, Inst. de Recherche sur l’Enseignement des Mathématiques (1987; Zbl 0694.01020); Probability theory (Ars conjectandi): Part I, II, III, IV. (Wahrscheinlichkeitsrechnung (Ars conjectandi): I., II., III. und IV. Theil . Übersetzt und herausgegeben von R. Haussner. Mit dem Anhange: Brief an einen Freund über das Ballspiel (Jeu de paume).) Ostwalds Klassiker der Exakten Wissenschaften. 107/108. Frankfurt/Main: Harri Deutsch. Reprint der Bände 107 und 108 (1713). (1999; Zbl 0957.01032)] on the statisticians of the XIXth century. In particular he investigates the extent to which the major treatises (Lacroix 1816, Quetelet 1846, Cournot 1843, J. Bertrand 1889 [Calculus of probabilities. (Calcul des probabilités.) (Paris). Gauthier-Villars et Fils. (1889; JFM 21.0198.01)], and E. Carvallo 1912 [Le calcul des probabilités et ses applications. (Paris): Gauthier-Villars. (1912; JFM 43.0290.01)]) quote Bernoulli’s work and present his results.

MSC:

01A55 History of mathematics in the 19th century
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