On the Dynamic Cumulative Past Quantile Entropy Ordering

In many society and natural science fields, some stochastic orders have been established in the literature to compare the variability of two random variables. For a stochastic order, if an individual (or a unit) has some property, sometimes we need to infer that the population (or a system) also has...

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Autores principales:	Haiyan Wang, Diantong Kang, Lei Yan
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	dynamic cumulative past entropy dynamic cumulative past quantile entropy dynamic cumulative past quantile entropy order closure property records model Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/8bef088fa58942ceb22e802a3f4957be
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spelling	oai:doaj.org-article:8bef088fa58942ceb22e802a3f4957be2021-11-25T19:05:55ZOn the Dynamic Cumulative Past Quantile Entropy Ordering10.3390/sym131120012073-8994https://doaj.org/article/8bef088fa58942ceb22e802a3f4957be2021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2001https://doaj.org/toc/2073-8994In many society and natural science fields, some stochastic orders have been established in the literature to compare the variability of two random variables. For a stochastic order, if an individual (or a unit) has some property, sometimes we need to infer that the population (or a system) also has the same property. Then, we say this order has closed property. Reversely, we say this order has reversed closure. This kind of symmetry or anti-symmetry is constructive to uncertainty management. In this paper, we obtain a quantile version of DCPE, termed as the dynamic cumulative past quantile entropy (DCPQE). On the basis of the DCPQE function, we introduce two new nonparametric classes of life distributions and a new stochastic order, the dynamic cumulative past quantile entropy (DCPQE) order. Some characterization results of the new order are investigated, some closure and reversed closure properties of the DCPQE order are obtained. As applications of one of the main results, we also deal with the preservation of the DCPQE order in several stochastic models.Haiyan WangDiantong KangLei YanMDPI AGarticledynamic cumulative past entropydynamic cumulative past quantile entropydynamic cumulative past quantile entropy orderclosure propertyrecords modelMathematicsQA1-939ENSymmetry, Vol 13, Iss 2001, p 2001 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	dynamic cumulative past entropy dynamic cumulative past quantile entropy dynamic cumulative past quantile entropy order closure property records model Mathematics QA1-939
spellingShingle	dynamic cumulative past entropy dynamic cumulative past quantile entropy dynamic cumulative past quantile entropy order closure property records model Mathematics QA1-939 Haiyan Wang Diantong Kang Lei Yan On the Dynamic Cumulative Past Quantile Entropy Ordering
description	In many society and natural science fields, some stochastic orders have been established in the literature to compare the variability of two random variables. For a stochastic order, if an individual (or a unit) has some property, sometimes we need to infer that the population (or a system) also has the same property. Then, we say this order has closed property. Reversely, we say this order has reversed closure. This kind of symmetry or anti-symmetry is constructive to uncertainty management. In this paper, we obtain a quantile version of DCPE, termed as the dynamic cumulative past quantile entropy (DCPQE). On the basis of the DCPQE function, we introduce two new nonparametric classes of life distributions and a new stochastic order, the dynamic cumulative past quantile entropy (DCPQE) order. Some characterization results of the new order are investigated, some closure and reversed closure properties of the DCPQE order are obtained. As applications of one of the main results, we also deal with the preservation of the DCPQE order in several stochastic models.
format	article
author	Haiyan Wang Diantong Kang Lei Yan
author_facet	Haiyan Wang Diantong Kang Lei Yan
author_sort	Haiyan Wang
title	On the Dynamic Cumulative Past Quantile Entropy Ordering
title_short	On the Dynamic Cumulative Past Quantile Entropy Ordering
title_full	On the Dynamic Cumulative Past Quantile Entropy Ordering
title_fullStr	On the Dynamic Cumulative Past Quantile Entropy Ordering
title_full_unstemmed	On the Dynamic Cumulative Past Quantile Entropy Ordering
title_sort	on the dynamic cumulative past quantile entropy ordering
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/8bef088fa58942ceb22e802a3f4957be
work_keys_str_mv	AT haiyanwang onthedynamiccumulativepastquantileentropyordering AT diantongkang onthedynamiccumulativepastquantileentropyordering AT leiyan onthedynamiccumulativepastquantileentropyordering
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On the Dynamic Cumulative Past Quantile Entropy Ordering

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