An Extended Fr echet Distribution: Properties and Applications
作者： M. Mansoor , Gauss M. Cordeiro , Ayman Alzaatreh , Syed S.A. Ghazali , M. H. Tahir
DOI: 10.6339/JDS.201601_14(1).0010
关键词:
摘要: In this paper, we introduce an extended four-parameter Fr´echet model called the exponentiated exponential distribution, which arises from quantile function of standard distribution. Various its mathematical properties are derived including function, ordinary and incomplete moments, Bonferroni Lorenz curves, mean deviations, residual life, waiting time, generating Shannon entropy order statistics. The parameters estimated by method maximum likelihood observed information matrix is determined. usefulness new distribution illustrated means three real lifetime data sets. fact, provides a better fit to these than Marshall-Olkin Fr´echet, exponentiated-Fr´echet models.
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