I. J. Bienaymé: Statistical Theory AnticipatedSpringer Science & Business Media, 6 de des. 2012 - 172 pàgines Our interest in 1. J. Bienayme was kindled by the discovery of his paper of 1845 on simple branching processes as a model for extinction of family names. In this work he announced the key criticality theorem 28 years before it was rediscovered in incomplete form by Galton and Watson (after whom the process was subsequently and erroneously named). Bienayme was not an obscure figure in his time and he achieved a position of some eminence both as a civil servant and as an Academician. However, his is no longer widely known. There has been some recognition of his name work on least squares, and a gradually fading attribution in connection with the (Bienayme-) Chebyshev inequality, but little more. In fact, he made substantial contributions to most of the significant problems of probability and statistics which were of contemporary interest, and interacted with the major figures of the period. We have, over a period of years, collected his traceable scientific work and many interesting features have come to light. The present monograph has resulted from an attempt to describe his work in its historical context. Earlier progress reports have appeared in Heyde and Seneta (1972, to be reprinted in Studies in the History of Probability and Statistics, Volume 2, Griffin, London; 1975; 1976). |
Continguts
Other probability and statistics | 97 |
Miscellaneous writings | 129 |
References to Bienaymé extracted from name | 138 |
144 | |
Name index | 165 |
Altres edicions - Mostra-ho tot
I. J. Bienaymé: Statistical Theory Anticipated C. C. Heyde,E. Seneta Visualització de fragments - 1977 |
I. J. Bienaymé: Statistical Theory Anticipated C. C. Heyde,E. Seneta Previsualització no disponible - 2012 |
Frases i termes més freqüents
Algorithm appears approximately arithmetic mean asymptotic aymé Bernoulli trials Bernoulli's Theorem Bertrand Bien Bienaymé Bienaymé-Chebyshev Inequality Bienaymé's paper binomial trials Bortkiewicz branching process C. R. Acad calculation Cauchy Cauchy's Central Limit Theorem Chapter Châteauneuf Chebyshev Chuprov coefficient Comptes Rendus concerned Condorcet context contributions Cournot density Deparcieux table Didion discussion distribution durée Duvillard table earlier error estimate fact formula France Gauss given I. J. Bienaymé independent inequality interval L'Institut Laplace Laplace's Large Numbers later Law of Large least squares Lexis linear linear least squares Markov Math mathematical matrix mean memoir mentioned Method of Least méthode mortality Normal observations obtained Paris Extraits Pascal Philomat Poisson Poisson's Law population probabilité probability and statistics probability theory problem published Quetelet random variables reference relevant remarks sample scheme Sleshinsky Société de Metz Société Philomatique Statistique tion variance X₁