In this paper, we study some properties and characterization of the weighted cumulative past extropy (WCPJ). Many results including some bounds, inequalities, and effects of linear transformations are obtained. We study the characterization of WCPJ based on the largest order statistics. Conditional WCPJ and some of its properties are discussed. Related studies in connection to reliability theory are covered.
翻译:在本文中,我们研究了加权累积的过去除虫性(WCPJ)的一些属性和定性,取得了许多结果,包括一些界限、不平等和线性变换的影响,我们根据最大的顺序统计研究了WCPJ的定性,讨论了有条件的WCPJ及其某些属性,并涵盖了与可靠性理论有关的相关研究。