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
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author Al-Babtain, Abdulhakim A
Merovci, Faton
Elbatal, Ibrahim
author_facet Al-Babtain, Abdulhakim A
Merovci, Faton
Elbatal, Ibrahim
author_sort Al-Babtain, Abdulhakim A
collection PubMed
description 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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spelling pubmed-44294242015-05-20 The McDonald exponentiated gamma distribution and its statistical properties Al-Babtain, Abdulhakim A Merovci, Faton Elbatal, Ibrahim Springerplus Research 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 Springer International Publishing 2015-02-12 /pmc/articles/PMC4429424/ /pubmed/25995982 http://dx.doi.org/10.1186/2193-1801-4-2 Text en © Al-babtain et al.; licensee Springer. 2015 This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.
spellingShingle Research
Al-Babtain, Abdulhakim A
Merovci, Faton
Elbatal, Ibrahim
The McDonald exponentiated gamma distribution and its statistical properties
title The McDonald exponentiated gamma distribution and its statistical properties
title_full The McDonald exponentiated gamma distribution and its statistical properties
title_fullStr The McDonald exponentiated gamma distribution and its statistical properties
title_full_unstemmed The McDonald exponentiated gamma distribution and its statistical properties
title_short The McDonald exponentiated gamma distribution and its statistical properties
title_sort mcdonald exponentiated gamma distribution and its statistical properties
topic Research
url 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
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