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I. J. Bienayme


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Table of Contents

1. Historical background.- 1.1. Introduction.- 1.2. A historical prelude.- 1.3. Biography.- 1.4. Academic background and contemporaries.- 1.5. Bienayme in the literature.- 1.6. The Societe Philomatique and the journal L'Institut.- 2. Demography and social statistics.- 2.1. Introduction.- 2.2. Infant mortality and birth statistics.- 2.3. Life tables.- 2.4. Probability and the law.- 2.5. Insurance and retirement funds.- 3. Homogeneity and stability of statistical trials.- 3.1. Introduction.- 3.2. Varieties of heterogeneity.- 3.3. Bienayme and Poisson's Law of Large Numbers.- 3.4. Dispersion theory.- 3.5. Bienayme's test.- 4. Linear least squares.- 4.1. Introduction.- 4.2. Legendre, Gauss, and Laplace.- 4.3. Bienayme's contribution.- 4.4. Cauchy's role in interpolation theory.- 4.5. Consequences.- 4.6. Bienayme and Cauchy on probabilistic least squares.- 4.7. Cauchy continues.- 5. Other probability and statistics.- 5.1. Introduction.- 5.2. A Limit theorem in a Bayesian setting.- 5.3. Medical statistics.- 5.4. The Law of Averages.- 5.5. Electoral representation.- 5.6. The concept of sufficiency.- 5.7. A general inequality.- 5.8. A historical note on Pascal.- 5.9. The simple branching process.- 5.10. The Bienayme-Chebyshev Inequality.- 5.11. A test for randomness.- 6. Miscellaneous writings.- 6.1. A perpetual calendar.- 6.2. The alignment of houses.- 6.3. The Montyon Prize reports.- Bienayme's publications.- Name index.

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