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About one problem of D.Bernoulli and L. Euler from the theory of statistical estimation

  • Autores: Mikhail Nikulin
  • Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 30, Nº. 1, 2006, págs. 91-100
  • Idioma: inglés
  • Títulos paralelos:
    • Sobre un problema de Bernoulli y Euler a partir de la teoría de la estimación estadística.
  • Enlaces
  • Resumen
    • We consider some results by D. Bernoulli and L. Euler on the method of maximum likelihood in parametric estimation. The statistical analysis is made by considering a parametric family with a shift parameter.

  • Referencias bibliográficas
    • Bernoulli, D. (1777). Memoirs of the Academy of St. Petersburg, Acta Acad. Petrop., 3-33.
    • Bernoulli, D. (1961). The most probable choice between several discrepant observations and the formation therefrom of the most likely induction,...
    • Euler, L. (1961). Observation on the foregoing dissertation of Bernoulli, Biometrika, 1961, 48, 13-18.
    • Huber, C., Nikulin, M. (1997). Remarques sur le maximum de vraisemblance. Qüestiió, 21, 37-58.
    • Kendall, M. G. (1961). Studies in the history of probability and statistics XI. Daniel Bernoulli and maximum likelihood, Biometrika, 48, 1-18.
    • Stigler, S. M. (1997). Daniel Bernoulli, Leonhard Euler, and maximum likelihood (including a new translation of a paper by D. Bernoulli)....
    • Voinov, V., Nikulin, M. (1993). Unbiased Estimators and their Applications. Vol. 1: Univariate Case, Kluwer Academic Publishers. Dordrecht.

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