I. J. Bienaymé: Statistical Theory Anticipated

Capa
Springer Science & Business Media, 6 de dez de 2012 - 172 páginas
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).
 

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Conteúdo

Historical background
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
Bibliography
144
A A Cournot 18011877
153
Name index
165
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