In this paper, we study some properties and characterization of the general weighted cumulative past extropy (n-WCPJ). Many results including some bounds, inequalities, and effects of linear transformations are obtained. We study the characterization of n-WCPJ based on the largest order statistics. Conditional WCPJ and some of its properties are discussed.

翻译：本文研究了一般加权累积过去外熵（n-WCPJ）的一些性质和刻画。得到了许多结果，包括一些界限、不等式以及线性变换的影响。我们基于最大顺序统计量研究了n-WCPJ的刻画。讨论了条件WCPJ及其一些性质。