Ir al contenido

Documat


Some properties and inequalities related to the kth inverse moment of a positive binomial variate

  • Autores: Rodrigo Arias López, José Garrido
  • Localización: Revista de Matemática: Teoría y Aplicaciones, ISSN 2215-3373, ISSN-e 2215-3373, Vol. 8, Nº. 2, 2001, págs. 1-18
  • Idioma: inglés
  • DOI: 10.15517/rmta.v8i2.200
  • Enlaces
  • Resumen
    • español

      Se presentan algunas propiedades conocidas del k-simo momento inverso bk(n, p)de una variable aleatoria binomial positiva. Se derivan otras desigualdades nuevas yalgunas propiedades de esta funcin.Palabras clave:  Probabilidad, estadstica, contingencias de vida, polinomios de Bernstein.

    • English

       We present some known properties of bk(n, p) the kth inverse moment of a positive binomial variate. Additional properties of this function and new bounds are derived. Keywords:  Probability, statistics, life contingencies, Bernstein polynomials.

  • Referencias bibliográficas
    • Arias, R. (1998) The Stochastic Approach to Future Values. M.Sc. Thesis, Department of Mathematics and Statistics, Concordia University, Quebec,...
    • 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,...
    • 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...
    • 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...
    • Walker, J.J. (1984) “Improved approximations for the inverse moments of the positive binomial distribution”, Communications in Statistic:...

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno