Further results involving Marshall–Olkin log-logistic distribution: reliability analysis, estimation of the parameter, and applications

The purpose of this paper is to provide further study of the Marshall–Olkin log-logistic model that was first described by Gui (Appl Math Sci 7:3947–3961, 2013). This model is both useful and practical in areas such as reliability and life testing. Some statistical and reliability properties of this...

Descripción completa

Detalles Bibliográficos
Autores principales: Alshangiti, Arwa M., Kayid, M., Alarfaj, B.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4814396/
https://www.ncbi.nlm.nih.gov/pubmed/27066390
http://dx.doi.org/10.1186/s40064-016-2007-x
Descripción
Sumario:The purpose of this paper is to provide further study of the Marshall–Olkin log-logistic model that was first described by Gui (Appl Math Sci 7:3947–3961, 2013). This model is both useful and practical in areas such as reliability and life testing. Some statistical and reliability properties of this model are presented including moments, reversed hazard rate and mean residual life functions, among others. Maximum likelihood estimation of the parameters of the model is discussed. Finally, a real data set is analyzed and it is observed that the presented model provides a better fit than the log-logistic model. ELECTRONIC SUPPLEMENTARY MATERIAL: The online version of this article (doi:10.1186/s40064-016-2007-x) contains supplementary material, which is available to authorized users.

Ejemplares similares