Abstract
In this paper, we define general weighted cumulative residual extropy (GWCRJ) and general weighted negative cumulative extropy (GWNCJ). We obtain simple estimators for complete and right censored data. We obtain some results on GWCRJ and GWNCJ. We establish its connection to reliability theory and coherent systems. We also propose empirical estimators of GWNCJ. GWCRJ based on first-order statistics has been studied. Proposed estimators are calculated through data analysis. A new test of uniformity is proposed and analysed based on GWNCJ.
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