Published

2010-01-01

DISTRIBUCIÓN DE PROBABILIDAD QUE INVOLUCRA ALGUNAS FUNCIONES HIPERGEOMÉTRICAS GENERALIZADAS

PROBABILITY DISTRIBUTIONS INVOLVING ON GENERALIZED HYPERGEOMETRIC FUNCTIONS

Keywords:

función de densidad de probabilidad, función hipergeométrica generalizada, función generadora de momento, función característica (es)
Probability function, Generalized hypergeometric functions, The moments, Characteristic function (en)

Authors

  • Rafael Alfonso Meléndez Universidad de la Guajira
  • Jaime Antonio Castillo Universidad de la Guajira
  • Carlos Jesús Jiménez Universidad de la Guajira
Se define una nueva función de probabilidad que involucra algunas funciones hipergeométricas generalizadas; se encontraron algunas propiedades y casos especiales como la gamma y la exponencial. Se establecieron algunas funciones básicas asociadas a la nueva distribución de probabilidad, como la media, momentos, función característica, y se obtienen representaciones gráficas para esta nueva función de probabilidad.
We define a new function of probability that involves some generalized hypergeometric functions, we found some properties and special cases such as gamma and exponential. We establish some basic functions associated with the new probability distribution like mean, the moments, characteristic function and several graphic representations are obtained for this new function of probability.

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How to Cite

Meléndez, R. A., Castillo, J. A., & Jiménez, C. J. (2010). PROBABILITY DISTRIBUTIONS INVOLVING ON GENERALIZED HYPERGEOMETRIC FUNCTIONS. Revista Colombiana De Estadística, 33(1), 13-24. https://revistas.unal.edu.co/index.php/estad/article/view/29806