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Revista Colombiana de Estadística
versión impresa ISSN 0120-1751
Resumen
AMELI, NARJES; JARRAHIFERIZ, JALIL y MOHTASHAMI-BORZADARAN, GHOLAM REZA. Discrete Likelihood Ratio Order for Power Series Distribution. Rev.Colomb.Estad. [online]. 2014, vol.37, n.1, pp.35-43. ISSN 0120-1751. https://doi.org/10.15446/rce.v37n1.44356.
It is well-known that some discrete distributions belong to the power series distribution (PSD) family, so it seems useful to study conditions to establish the discrete likelihood ratio order for this family. In this paper, conditions to some cases of PSD family under which the discrete likelihood ratio order we have looked at the holds. Also, we study the discrete version of the proportional likelihood ratio as an extension of the likelihood ratio order. Then we compare some members of the PSD family by discrete proportional likelihood ratio order.
Palabras clave : Binomial distribution; Geometric distribution; Logarithmic series distribution; Negative binomial distribution; Poisson distribution; Proportional likelihood ratio order.