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360:. This is due to the fact that the Cauchy distribution has no defined variance to minimize. This is the first direct appearance of the Cauchy distribution in the academic literature. The curve had been previously studied by others, though in the English language as the
238:. He was rapidly promoted, first to inspector, then to inspector general. But the new Republican administration removed him in 1848 for his lack of support for the Republican regime.
272:. In particular he studied the extinction of closed families (aristocratic families for instance) which declined even as the general population was growing.
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426:(1974). "Studies in the History of Probability and Statistics. XXXIII Cauchy and the witch of Agnesi: An historical note on the Cauchy distribution".
256:. After 23 years, Bienaymé became the examiner for the attribution of the academy's prize in statistics. He was also a founding member of the
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Studies in the history of probability and statistics. XXXIII: Cauchy and the witch of Agnesi: An historical note on the Cauchy distribution.
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Bienaymé published only 23 articles, half of which appeared in obscure conditions. His first works concerned demographics and
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329:. The dispute within the literature was over the superiority of one method over the other. It is now known that
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325:. Both Bienaymé and Cauchy published regression methods at about the same time. Bienaymé had generalized the
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His personal life was marked by bad fortune. He studied at the Lycée de Bruges and then at the
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Irénée-Jules
Bienaymé continues the line of great French probability thinkers that began with
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Bienaymé criticized
Poisson's "law of large numbers" and was involved in a controversy with
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in 1815. Unfortunately that year's class was excluded in the following year by
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Actes de la journée du 21 juin 1996 consacrée à Irénée-Jules
Bienaymé
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383:"Bienaymé, Cournot and the extinction of family names (1845–1847)"
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Série
Histoire du Calcul des Probabilités et de la Statistique,
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283:(1812), he defended the latter's conceptions in a debate with
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345:. At the time, this was not known. Cauchy developed the
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and on the necessary majority for obtaining a conviction.
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Cahiers du Centre d'Analyse et de Mathématiques
Sociales'
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He translated into French the works of his friend the
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A Short
History of Mathematical Population Dynamics
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168:concerning the law of large numbers and the
389:, London: Springer London, pp. 41–44,
230:In 1818, he lectured on mathematics at the
176:of a sum of uncorrelated random variables.
306:which gives a simple demonstration of the
241:He became professor of probability at the
132:; 28 August 1796 – 19 October 1878) was a
533:Members of the French Academy of Sciences
470:Biometrika Vol. 61 No. 2 pp. 375–380
144:method. He contributed to the fields of
136:statistician. He built on the legacy of
492:MacTutor History of Mathematics Archive
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279:and under the influence of Laplace's
234:but, two years later, he entered the
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349:to show a case where the method of
281:Théorie analytique des probabilités
164:. In particular, he formulated the
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260:, holding its presidency in 1875.
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463:n° 28, Paris, E.H.E.S.S.-C.N.R.S
327:method of ordinary least squares
252:In 1852 he was admitted to the
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335:best linear unbiased estimator
258:Société Mathématique de France
223:because of their sympathy for
152:, and to their application to
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304:Bienaymé–Chebyshev inequality
211:. After participating in the
166:Bienaymé–Chebyshev inequality
88:Bienaymé–Chebyshev inequality
264:Contributions to mathematics
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7:
538:Lycée Louis-le-Grand alumni
395:10.1007/978-0-85729-115-8_7
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543:Mathematical statisticians
528:École Polytechnique alumni
466:Stephen M. Stigler (1974)
314:, and also had links with
254:French Academy of Sciences
232:Saint-Cyr Military Academy
129:[iʁeneʒylbjɛ̃nɛme]
353:resulted in a perfectly
215:in 1814, he attended the
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497:University of St Andrews
381:Bacaër, Nicolas (2011),
487:"Irénée-Jules Bienaymé"
440:10.1093/biomet/61.2.375
310:. He corresponded with
192:, then carried on with
351:ordinary least squares
337:, provided errors are
331:ordinary least squares
323:Augustin Louis Cauchy
121:Irénée-Jules Bienaymé
35:Irénée-Jules Bienaymé
23:Irénée-Jules Bienaymé
523:French statisticians
483:Robertson, Edmund F.
308:law of large numbers
302:, and published the
205:Lycée Louis-le-Grand
198:Siméon Denis Poisson
194:Pierre-Simon Laplace
16:French mathematician
481:O'Connor, John J.;
424:Stigler, Stephen M.
347:Cauchy distribution
217:École Polytechnique
404:978-0-85729-114-1
300:Pafnuty Chebyshev
275:As a disciple of
140:generalizing his
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99:Scientific career
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312:Adolphe Quetelet
270:actuarial tables
236:Finance Ministry
213:defense of Paris
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170:Bienaymé formula
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339:uncorrelated
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316:Gabriel Lamé
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247:Napoléon III
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225:Bonapartists
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65:(1878-10-19)
518:1878 deaths
513:1796 births
355:inefficient
221:Louis XVIII
146:probability
76:Nationality
507:Categories
459:, n° 138,
455: », '
428:Biometrika
410:2022-11-28
368:References
158:demography
150:statistics
109:Statistics
47:1796-08-28
358:estimator
180:Biography
243:Sorbonne
174:variance
172:for the
451:«
333:is the
296:Russian
285:Poisson
277:Laplace
154:finance
138:Laplace
125:French:
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289:juries
134:French
105:Fields
79:French
209:Paris
399:ISBN
341:and
196:and
188:and
160:and
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60:Died
41:Born
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391:doi
207:in
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