The Beta Exponential Fréchet Distribution with Applications

Autor: M.E. Mead, Ahmed Z. Afify, G.G. Hamedani, Indranil Ghosh
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Austrian Journal of Statistics, Vol 46, Iss 1 (2017)
Druh dokumentu: article
ISSN: 1026-597X
DOI: 10.17713/ajs.v46i1.144
Popis: We define and study a new generalization of the Fréchet distribution called the beta exponential Fréchet distribution. The new model includes thirty two special models. Some of its mathematical properties, including explicit expressions for the ordinary and incomplete moments, quantile and generating functions, mean residual life, mean inactivity time, order statistics and entropies are derived. The method of maximum likelihood is proposed to estimate the model parameters. A small simulation study is also reported. Two real data sets are applied to illustrate the flexibility of the proposed model compared with some nested and non-nested models.
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