具有广义反向记忆缺失性质的概率模型
Probability models characterized by generalized reversed lack of memory property
摘要：
实数上的二元运算符 * 称为结合的，如果是$(x*y)*z=x*(y*z)$;称为可约的，如果是$x*y=x*z$或$y*w=z*w$当且仅当是$z=y$。如果$x*\tilde{e}=x$，则称该操作具有标识元素$\tilde{e}$。在本文中，反向广义帕累托分布（Castillo和Hadi（1995））的一个子类的反向缺乏记忆属性（Asha和Rejeesh（2007））的特征是广义使用这种二元运算和概率分布的特点是使用相同的。这个想法进一步推广到双变量的情况下。
英文摘要：
A binary operator * over real numbers is said to be associative if $(x*y)*z=x*(y*z)$ and is said to be reducible if $x*y=x*z$ or $y*w=z*w$ if and only if $z=y$. The operation is said to have an identity element $\tilde{e}$ if $x*\tilde{e}=x$. In this paper a characterization of a subclass of the reversed generalized Pareto distribution (Castillo and Hadi (1995)) in terms of the reversed lack of memory property (Asha and Rejeesh (2007)) is generalized using this binary operation and probability distributions are characterized using the same. This idea is further generalized to the bivariate case.
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