## I. J. Bienaymé: Statistical Theory AnticipatedOur 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). |

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### Conteúdo

1 | |

French | 3 |

Demography and social statistics | 19 |

A Deparcieux 17031768 | 24 |

J Fourier 17681830 | 31 |

Homogeneity and stability of statistical trials | 40 |

Cauchy 17891857 | 52 |

Other probability and statistics | 97 |

Miscellaneous writings | 129 |

References to Bienaymé extracted from name | 138 |

144 | |

153 | |

Name index | 165 |

### Outras edições - Visualizar todos

I. J. Bienaymé: statistical theory anticipated C. C. Heyde,Eugene Seneta Visualização de trechos - 1977 |

I. J. Bienaymé: Statistical Theory Anticipated C. C. Heyde,E. Seneta Não há visualização disponível - 2012 |

### Termos e frases comuns

Academy of Sciences Algorithm appears approximately arithmetic mean aymé Bernoulli trials Bertrand Bien Bienaymé Bienaymé's paper binomial trials Bortkiewicz C. R. Acad calculation Cauchy Cauchy distribution Cauchy’s Central Limit Theorem Chapter Châteauneuf Chebyshev Chuprov coefficient compound interest Comptes Rendus concerned Condorcet considerable context contributions corresponding Cournot criticism density Deparcieux table Didion discussion durée Duvillard table earlier equations error estimate evident fact formula France Gauss given independent inequality interval Jacob Bernoulli known L'Institut Laplace Laplace's Large Numbers later Law of Large least squares Lexis linear linear least squares Markov mathematical matrix mean memoir mentioned Method of Least méthode mortality Normal observations obtained Paris Extraits Pascal Philomat Poisson Poisson’s Law population probabilité probability theory problem proof published Quetelet random variables reference relevant remarks rigorous sample scheme Sleshinsky Société de Metz Société Philomatique Statistique tion tontines variance writes