Geodesic
Quantile-based entropy function in past lifetime for order statistics and its properties
Filomat, Tome 37 (2023) no. 10, p. 3321

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DOI

In this paper, we introduce a quantile version of past entropy for order statistics and study some of its properties. It is shown that this measure uniquely determine the quantile function. Two nonparametric classes of distributions are also defined based on the proposed measure. The closure of these classes under increasing convex (concave) transformations and weighted variables are discussed. Moreover, a new stochastic order based on this measure is defined and some features of it are investigated. We give desirable conditions for a function of a random variable to have more quantile past entropy for order statistics than original random variable.
DOI : 10.2298/FIL2310321Z
Classification : 94A17, 62E10, 62N05
Keywords: Shannon entropy, Quantile function, Proportional reversed hazard model, Accelerated life model, Reversed hazard quantile function 
Zohreh Zamani; Mohsen Madadi. Quantile-based entropy function in past lifetime for order statistics and its properties. Filomat, Tome 37 (2023) no. 10, p. 3321 . doi: 10.2298/FIL2310321Z
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     title = {Quantile-based entropy function in past lifetime for order statistics and its properties},
     journal = {Filomat},
     pages = {3321 },
     year = {2023},
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     doi = {10.2298/FIL2310321Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2310321Z/}
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