Author | Heyde, C. C. author |
---|---|
Title | I. J. Bienaymรฉ [electronic resource] : Statistical Theory Anticipated / by C. C. Heyde, E. Seneta |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1977 |
Connect to | http://dx.doi.org/10.1007/978-1-4684-9469-3 |
Descript | 172 p. 1 illus. online resource |
1. Historical background -- 1.1. Introduction -- 1.2. A historical prelude -- 1.3. Biography -- 1.4. Academic background and contemporaries -- 1.5. Bienaymรฉ in the literature -- 1.6. The Sociรฉtรฉ Philomatique and the journal LโInstitut -- 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. Bienaymรฉ and Poissonโs Law of Large Numbers -- 3.4. Dispersion theory -- 3.5. Bienaymรฉโs test -- 4. Linear least squares -- 4.1. Introduction -- 4.2. Legendre, Gauss, and Laplace -- 4.3. Bienaymรฉโs contribution -- 4.4. Cauchyโs role in interpolation theory -- 4.5. Consequences -- 4.6. Bienaymรฉ 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 Bienaymรฉ-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 -- Bienaymรฉโs publications -- Name index