文章基本信息

标题：An extended Fr´echet distribution: Properties and applications
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作者：Muhammad Mansoor ; Ayman Alzaatreh ; Muhammad Hussain Tahir 等
期刊名称：Journal of Data Science
印刷版ISSN：1680-743X
电子版ISSN：1683-8602
出版年度：2016
卷号：14
期号：1
页码：167-188
出版社：Tingmao Publish Company
摘要：In this paper, we introduce an extended four-parameter Fr′echet model called the exponentiated exponential Fr′echet distribution, which arises from the quantile function of the standard exponential distribution. Various of its mathematical properties are derived including the quantile function, ordinary and incomplete moments, Bonferroni and Lorenz curves, mean deviations, mean residual life, mean waiting time, generating function, Shannon entropy and order statistics. The model parameters are estimated by the method of maximum likelihood and the observed information matrix is determined. The usefulness of the new distribution is illustrated by means of three real lifetime data sets. In fact, the new model provides a better fit to these data than the Marshall-Olkin Fr′echet, exponentiated-Fr′echet and Fr′echet models.
关键词：Exponentiated-exponential; Fr′echet distribution; hazard function; reliability function; Shannon entropy.