The McDonald exponentiated gamma distribution and its statistical properties

ABSTRACT: In this paper, we propose a five-parameter lifetime model called the McDonald exponentiated gamma distribution to extend beta exponentiated gamma, Kumaraswamy exponentiated gamma and exponentiated gamma, among several other models. We provide a comprehensive mathematical treatment of this...

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Detalles Bibliográficos
Autores principales: Al-Babtain, Abdulhakim A, Merovci, Faton, Elbatal, Ibrahim
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2015
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4429424/
https://www.ncbi.nlm.nih.gov/pubmed/25995982
http://dx.doi.org/10.1186/2193-1801-4-2
Descripción
Sumario:ABSTRACT: In this paper, we propose a five-parameter lifetime model called the McDonald exponentiated gamma distribution to extend beta exponentiated gamma, Kumaraswamy exponentiated gamma and exponentiated gamma, among several other models. We provide a comprehensive mathematical treatment of this distribution. We derive the moment generating function and the rth moment. We discuss estimation of the parameters by maximum likelihood and provide the information matrix. AMS SUBJECT CLASSIFICATION: Primary 62N05; secondary 90B25

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