指数Pareto分布中有序随机变量商矩的关系

D. Kumar
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引用次数: 0

摘要

本文从指数Pareto分布出发,建立了对偶广义阶统计量的商矩和条件商矩所满足的几个新的显式表达式和递推关系,使人们能够用简单递推的方式求出所有阶的单阶和积阶矩。根据推导出的关系,推导出订单统计量和记录值的计算结果。进一步,利用对偶广义阶统计量条件商矩的递推关系,得到了指数Pareto分布的一个表征。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Relationship for Quotient Moments of Ordered Random Variables from Exponentiated Pareto Distribution
In this paper, we have established several new explicit expressions and recurrence relations satisfied by the quotient moments and conditional quotient moments of dual generalized order statistics from Exponentiated Pareto distribution, to enable one to evaluate the single and product moments of all order in simple recursive manner. The results for order statistics and record values are deduced from the relations derived. Further, recurrence relation for conditional quotient moments of dual generalized order statistics we obtain a characterization of exponentiated Pareto distribution.
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