The exponentiated discrete Weibull distribution
Nekoukhou, Vahid (University of Isfahan. Department of Statistics)
Bidram, Hamid (University of Isfahan. Department of Statistics)

Date:	2015
Abstract:	In this paper, the exponentiated discrete Weibull distribution is introduced. This new generalization of the discrete Weibull distribution can also be considered as a discrete analogue of the exponentiated Weibull distribution. A special case of this exponentiated discrete Weibull distribution defines a new generalization of the discrete Rayleigh distribution for the first time in the literature. In addition, discrete generalized exponential and geometric distributions are some special sub-models of the new distribution. Here, some basic distributional properties, moments, and order statistics of this new discrete distribution are studied. We will see that the hazard rate function can be in- creasing, decreasing, bathtub, and upside-down bathtub shaped. Estimation of the parameters is illustrated using the maximum likelihood method. The model with a real data set is also examined.
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Discrete generalized exponential distribution ; Exponentiated discrete weibull distribution ; Exponentiated weibull distribution ; Geometric distribution ; Infinite divisibility ; Order statistics ; Resilience parameter family ; Stress-strength parameter
Published in:	SORT : statistics and operations research transactions, Vol. 39 Núm. 1 (January-June 2015) , p. 127-146 (Articles) , ISSN 2013-8830

Adreça alternativa: https://raco.cat/index.php/SORT/article/view/294381

20 p, 189.7 KB

The record appears in these collections:
Articles > Published articles > SORT
Articles > Research articles