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The exponentiated discrete Weibull Distribution
dc.contributor.author | Nekoukhou, Vahid |
dc.contributor.author | Bidram, Hamid |
dc.date.accessioned | 2016-07-05T13:33:37Z |
dc.date.available | 2016-07-05T13:33:37Z |
dc.date.issued | 2015-06 |
dc.identifier.citation | Nekoukhou, Vahid; Bidram, Hamid. The exponentiated discrete Weibull Distribution. "SORT", Juny 2015, vol. 39, p. 127-146. |
dc.identifier.issn | 1696-2281 |
dc.identifier.uri | http://hdl.handle.net/2117/88523 |
dc.description.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 |
dc.format.extent | 20 p. |
dc.language.iso | eng |
dc.publisher | Institut d'Estadística de Catalunya |
dc.relation.ispartof | SORT. 2015, Vol. 39, Núm. 1 |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica |
dc.subject.other | Discrete generalized exponential distribution |
dc.subject.other | exponentiated discrete Weibull distribution |
dc.subject.other | exponentiated Weibull distribution |
dc.subject.other | geometric distribution |
dc.subject.other | infinite divisibility |
dc.subject.other | order statistics |
dc.subject.other | resilience parameter family |
dc.subject.other | stress-strength parameter |
dc.title | The exponentiated discrete Weibull Distribution |
dc.type | Article |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::62 Statistics::62E Distribution theory |
dc.subject.ams | Classificació AMS::60 Probability theory and stochastic processes::60E Distribution theory |
dc.rights.access | Open Access |
local.citation.publicationName | SORT |
local.citation.volume | 39 |
local.citation.startingPage | 127 |
local.citation.endingPage | 146 |