Geodesic
Some properties of cumulative extropy and its dynamic past version
Filomat, Tome 36 (2022) no. 2, p. 539

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DOI

Extropy has been discussed in many works of literature as a complementary dual of Shannon's entropy function. In this paper, a replacement procedure of uncertainty of random variable, constructed on the cumulative distribution function F, called cumulative extropy is proposed. Some properties and features of the deemed measure are obtained. Moreover, the dynamic form of cumulative extropy is considered. Finally, non-parametric estimators for the proposed measure are included
DOI : 10.2298/FIL2202539M
Classification : 94A17, 60E15, 62G05, 62N05
Keywords: Extropy, mean inactivity time, non-parametric estimation, reversed hazard function, stochastic ordering 
M S Mohamed. Some properties of cumulative extropy and its dynamic past version. Filomat, Tome 36 (2022) no. 2, p. 539 . doi: 10.2298/FIL2202539M
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     title = {Some properties of cumulative extropy and its dynamic past version},
     journal = {Filomat},
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     year = {2022},
     volume = {36},
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     doi = {10.2298/FIL2202539M},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2202539M/}
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