Distribución exacta y aproximada del producto de variables Kummer-beta

• Autores: Fabio H. Sepúlveda Murillo
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 28, Nº. 2, 2010 (Ejemplar dedicado a: Revista Integración), págs. 101-109
• Idioma: español
• Títulos paralelos:
  • Exact and approximate distributions of the products of Kummer-beta variables
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    Se presenta la distribución exacta para el producto Y = X1X2, cuando X1 y X2 son variables aleatorias correlacionadas con distribución conjunta Kummer-beta. Se propone una distribución aproximada mostrando el desempeño de su ajuste.

  • English

    We present the exact distribution for the product Y = X1X2, where X1 and X2 are random variables with combined Kummer-beta distribution. We propose an approximate distribution exhibiting the performance of its adjustment.

• Referencias bibliográficas
  • Citas [1] Fan D. Y., “The distribution of the product of independent beta variables”, Communications Statistics-Theory Methods, 20 (1991),...
  • [2] Garg M., Katta V., Gupta M.K., “Thde distribution of the products of powers of generalized Dirochlet components”, Kyungpook Math. J.,...
  • [3] Johnson N. L., Kotz S., and Balakrishnan N., Continuous Univariate Distributions, Vol. 2, Second Edition, John Wiley & Sons, New York,...
  • [4] Nagar D. K., and Zarrazola E., “Distributions of the product and the quotient of independent Kummer-beta variables”, Scientiae Mathematicae...
  • [5] Ng K. W., and Kotz S., Kummer-gamma and Kummer-beta univariate and multivariate distributions, Research Report, no. 84, Department of...
  • [6] Pham-Gia T., and Turkkan N., “The product and quotient of general beta distributions”, Statistical Paper, 43 (2002), 537–550.
  • [7] Podolski H., “The distribution of a product of n independent random variables with generalized gamma distribution”, Demonstration Mathematica,...
  • [8] Rathie P. N., and Rohrer H. G., “The exact distribution of products of independent random variables”, Metron, 45 (1987), 235–245.
  • [9] Sakamoto H., “On the distributions of the product and quotient of the independent and uniformly distributed random variables”, Tohoku...
  • [10] Sornette D., “Multiplicative processes and power laws”, Physical Review E, 57 (1998), 4811– 4813.
  • [11] Witkovsky V., “Computing the distribution of a linear combination of inverted gamma variables”, Kybernetika, 37 (2001), 79–90.