A family of weighted distributions based on the mean inactivity time and cumulative past entropies

被引：6

作者：

Cali, Camilla ^{[1
]}

Longobardi, Maria ^{[1
]}

Psarrakos, Georgios ^{[2
]}

机构：

[1] Univ Napoli Federico II, Naples, Italy

[2] Univ Piraeus, Piraeus, Greece

来源：

RICERCHE DI MATEMATICA | 2021年 / 70卷 / 02期

关键词：

Cumulative past entropy; Mean inactivity time; Cumulative Tsallis past entropy; Weighted distributions; RELIABILITY-MEASURES; RESIDUAL ENTROPY; LIFE; UNIVARIATE;

D O I：

10.1007/s11587-019-00475-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a family of mean past weighted (MPW alpha) distributions of order alpha is introduced. For the construction of this family, the concepts of the mean inactivity time and cumulative alpha-class past entropy are used. Distributional properties and stochastic comparisons with other known weighted distributions are given. Furthermore, an upper bound for thek-order moment of the random variables associated with the new family and a characterization result are obtained. Generalized discrete mixtures that involve MPW alpha distributions and other weighted distributions are also explored.

引用

页码：395 / 409

页数：15

共 30 条

[1] Characterizations of the RHR and MIT orderings and the DRHR and IMIT classes of life distributions [J].