关于指数帕累托分布的一个推广注记

I. Elbatal, Faton Merovci
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引用次数: 1

摘要

摘要本文介绍了麦当劳指数帕累托分布。我们提供了这个分布的一些数学性质,并推导出它的矩生成函数、第n矩和Renyi熵的表达式。最后,我们给出了支持麦当劳指数帕累托分布应用的似然方程。本文的目的是介绍一种有趣的分布,其特点是在偏度和尾部行为方面具有很高的灵活性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Note on a Generalization of the Exponentiated Pareto Distribution
Abstract In this paper we introduce the so-called McDonald Exponentiated Pareto distribution. We provide a number of mathematical properties of this distribution and derive among others expressions for its moment-generating function, the rth moment, and the Renyi entropy. Finally, we present the likelihood equations to support the application of the McDonald Exponentiated Pareto distribution. The aim of the paper is to introduce an interesting distribution which is distinguished by high flexibility with respect to skewness and tail behavior.
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