Palabras clave
statistics
life contingencies
Bernstein polynomials
Probabilidad
estadística
contingencias de vida
polinomios de Bernstein
Cómo citar
Resumen
Se presentan algunas propiedades conocidas del k-simo momento inverso bk(n, p) de una variable aleatoria binomial positiva. Se derivan otras desigualdades nuevas y algunas propiedades de esta funcin.
Citas
Arias, R. (1998) The Stochastic Approach to Future Values. M.Sc. Thesis, Department of Mathematics and Statistics, Concordia University, Quebec, Canada.
Bernstein, S. (1912) “Dmonstration du thorme de Weierstrass, fonde sur le calcul des probabilits”, Commun. Soc. Math. Kharkow, 2 (13): 1–2.
Bowers, N.L.; Gerber, H.U.; Hickman, J.C.; Jones, D.A.; Nesbit, C.J. (1997) Actuarial Mathematics. 2nd Edition, Society of Actuaries, Schaumburg, IL.
Govindarajulu, Z. (1963) “Recursive relations for the inverse moments of the positive binomial
variable”, J.A.S.A. 58: 468–473.
Grab, E.L.; Savage, I.R. (1954) “Tables of the expected value of 1/X for positive Bernoulli and Poisson variables”, J.A.S.A. 49: 169–177.
Johnson, N.L. (1992) Univariate Discrete Distributions. 2nd Edition, Wiley, New York.
Lorentz, G.G. (1986) Bernstein Polynomials. 2nd Edition, Chelsea Publishing Company, New York.
Mendenhall, W.; Lehman, E.H. (1960) “An approximation to the negative moments of the positive binomial useful in life testing”, Technometrics 2 (2): 227–242.
Ramsay, C.M. (1993) “A note on random survivorship group benefits”, ASTIN Bulletin 23 (1): 149–156.
Stephan, F.F. (1945) “The expected value and variance of the reciprocal and other negative powers of a positive Bernoullian variate”, Annals of Mathematical Statistics 16: 50–61.
Walker, J.J. (1984) “Improved approximations for the inverse moments of the positive binomial distribution”, Communications in Statistic: Simulation and Computations 13 (4): 515–519.