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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.
Acknowledgments
The authors are thankful to the associate editor and referees for their valuable suggestions which significantly improved this paper.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
Santosh Kumar Chaudhary would like to thank the Council of Scientific and Industrial Research (CSIR), Government of India [file number 09/0081 (14002)/2022-EMR-I] for financial assistance. Pradeep Kumar Sahu would like to thank the Quality Improvement Programme, Government of India (QIP) ( Student Unique Id: FP2200759 ) for financial assistance.