A new class of discrete distributions is introduced by extending the generalized hypergeometric recast distribution; some of its properties are studied. It is shown that all its moments exist finitely. A genesis, probability mass function, mean and variance are obtained. Certain recurrence relations for probabilities, moments and factorial moments are derived. Certain mixtures and limiting cases are also considered.
Publié le : 2009-06-15
Classification:
Generalized Gegenbauer distribution,
generalized Hermite distribution,
generalized hypergeometric function,
generalized hypergeometric recast distribution,
mixtures,
probability generating function
@article{1245351238,
author = {Kumar, C. Satheesh},
title = {A new class of discrete distributions},
journal = {Braz. J. Probab. Stat.},
volume = {23},
number = {1},
year = {2009},
pages = { 49-56},
language = {en},
url = {http://dml.mathdoc.fr/item/1245351238}
}
Kumar, C. Satheesh. A new class of discrete distributions. Braz. J. Probab. Stat., Tome 23 (2009) no. 1, pp. 49-56. http://gdmltest.u-ga.fr/item/1245351238/