On the Muth Distribution

Jodrá Esteban, Pedro; Jiménez Gamero, María Dolores; Alba Fernández, María Virtudes

doi:https://doi.org/10.3846/13926292.2015.1048540

Artículo

dc.creator	Jodrá Esteban, Pedro	es
dc.creator	Jiménez Gamero, María Dolores	es
dc.creator	Alba Fernández, María Virtudes	es
dc.date.accessioned	2023-03-13T11:36:36Z
dc.date.available	2023-03-13T11:36:36Z
dc.date.issued	2015-05-15
dc.identifier.citation	Jodrá Esteban, P., Jiménez Gamero, M.D. y Alba Fernández, M.V. (2015). On the Muth Distribution. Mathematical modelling and analysis, 20 (3), 291-310. https://doi.org/https://doi.org/10.3846/13926292.2015.1048540.
dc.identifier.issn	1392-6292	es
dc.identifier.issn	1648-3510	es
dc.identifier.uri	https://hdl.handle.net/11441/143312
dc.description.abstract	The Muth distribution is a continuous random variable introduced inthe context of reliability theory. In this paper, some mathematical properties of themodel are derived, including analytical expressions for the moment generating func-tion, moments, mode, quantile function and moments of the order statistics. In thisregard, the generalized integro-exponential function, the LambertWfunction and thegolden ratio arise in a natural way. The parameter estimation of the model is per-formed by the methods of maximum likelihood, least squares, weighted least squaresand moments, which are compared via a Monte Carlo simulation study. A naturalextension of the model is considered as well as an application to a real data set.	es
dc.format	application/pdf	es
dc.format.extent	19 p.	es
dc.language.iso	eng	es
dc.publisher	Vilnius Gediminas Technical University Journals	es
dc.relation.ispartof	Mathematical modelling and analysis, 20 (3), 291-310.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Muth distribution	es
dc.subject	moment generating function	es
dc.subject	order statistics	es
dc.subject	parameterestimation	es
dc.subject	simulation	es
dc.title	On the Muth Distribution	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/publishedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Estadística e Investigación Operativa	es
dc.relation.publisherversion	10.3846/13926292.2015.1048540	es
dc.identifier.doi	https://doi.org/10.3846/13926292.2015.1048540	es
dc.contributor.group	Universidad de Sevilla. FQM153: Estadística e Investigación Operativa	es
dc.journaltitle	Mathematical modelling and analysis	es
dc.publication.volumen	20	es
dc.publication.issue	3	es
dc.publication.initialPage	291	es
dc.publication.endPage	310	es

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