Extropy was introduced as a dual complement of the Shannon entropy. In this investigation, we consider failure extropy and its dynamic version. Various basic properties of these measures are presented. It is shown that the dynamic failure extropy characterizes the distribution function uniquely. We also consider weighted versions of these measures. Several virtues of the weighted measures are explored. Finally, nonparametric estimators are introduced based on the empirical distribution function.

翻译：Extropy是作为Shannon entropy的双重补充而引入的。在本次调查中,我们考虑了失败extropy及其动态版本。介绍了这些措施的各种基本特性。显示动态失败extropy是分配功能的独特特征。我们还考虑了这些措施的加权版本。我们探讨了加权计量的若干优点。最后,根据经验分配功能引入了非对称估计值。