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• W4304185630 abstract "This paper introduces and studies a new generalization of cumulative past extropy called weighted cumulative past extropy (WCPJ) for continuous random variables. We explore the following: if the WCPJs of the last order statistic are equal for two distributions, then these two distributions will be equal. We examine some properties of the WCPJ, and a number of inequalities involving bounds for WCPJ are obtained. Studies related to reliability theory are discussed. Finally, the empirical version of the WCPJ is considered, and a test statistic is proposed. The critical cutoff points of the test statistic are computed numerically. Then, the power of this test is compared to a number of alternative approaches. In some situations, its power is superior to the rest, and in some other settings, it is somewhat weaker than the others. The simulation study shows that the use of this test statistic can be satisfactory with due attention to its simple form and the rich information content behind it." @default.
• W4304185630 created "2022-10-11" @default.
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• W4304185630 date "2022-10-11" @default.
• W4304185630 modified "2023-10-01" @default.
• W4304185630 title "Weighted Cumulative Past Extropy and Its Inference" @default.
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• W4304185630 doi "https://doi.org/10.3390/e24101444" @default.
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