Resumen
En este trabajo demostramos que toda distribución hipergeométricaH(N, X,n) puede ser descrita como suma de pruebas independientes con probabilidades de éxito distintas entre sí. Tal distribución recibe habitualmente el nombre de binomial de Poisson o binomial generalizada.
Abstract
We prove in this paper that any Hypergeometric distributionH(N,X,n) may be described as a sum of independent trials with unequal probabilities. Such a distribution is usually called Poisson-Binomial or Generalized-Binomial distribution.
Article PDF
Avoid common mistakes on your manuscript.
Referencias
ABRAMOWITZ, M., y STEGUN, I. A. (1972): «Handbook of Mathematical Functions»,Dover Publications, INC.
DARROCH, J. N. (1964): «On the Distribution of the Number of Successes in Independent Trials»,A. M. S., 35, pp. 1317–1321.
GLESER, L. (1975): «On the Distribution of the Number of Successes in Independent Trials»,A. P. 3, pp. 182–188.
HOEFFDING, W. (1956): «On the Distribution of the Number of Successes in Independent Trials»,A. M. S., 27, pp. 713–721.
Le CAM, L. (1960): «An Approximation Theorem for the Poisson Binomial Distribution»,Pacific J. Math., 10, pp. 1181–1197.
ORD, J. K. (1967): «On a system of Discrete Distributions»Biometrika, 54, p. 649.
SAMUELS, S. M. (1965): «On the Number of Successes in Independent Trials»,A. M. S., 36, pp. 1272–1278.
WALSH, J. (1955): «Approximate Probability Values for Observed Number of “Successes” from Statistically Independent Binomial Events with Unequal Probabilities»,Sankhya, 15, pp. 281–290.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hinojosa, J.O., Romero, H.M.R. La distribucion hipergeometrica como binomial de poisson. TDE 6, 35–43 (1991). https://doi.org/10.1007/BF02863671
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02863671