文章基本信息

标题：An alternative to the Cauchy distribution
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作者：Ayman Alzaatreh
期刊名称：MethodsX
印刷版ISSN：2215-0161
电子版ISSN：2215-0161
出版年度：2019
卷号：6
页码：938-952
DOI：10.1016/j.mex.2019.02.025
语种：English
出版社：Elsevier
摘要：AbstractA few generalizations of the Cauchy distribution appear in the literature. In this paper, a new generalization of the Cauchy distribution is proposed, namely, the exponentiated-exponential Cauchy distribution (EECD). Unlike the Cauchy distribution, EECD can have moments for some restricted parameters space. The distribution has wide range of skewness and kurtosis values and has a closed form cumulative distribution function. It can be left skewed, right skewed and symmetric. Two different estimation methods for the EECD parameters are studied.•A new generalization of the Cauchy distribution is proposed, namely, exponentiated-exponential Cauchy distribution (EECD).•EECD has flexible shape characteristics. Moreover, EECD moments are defined under some restrictions on the parameter space.
关键词：Estimation;Moments;T-X family;Exponentiated-exponential-X family;Shannon entropy;Cauchy distribution