Title of article
Characterizations on the basis of cumulative residual entropy of sequential order statistics
Author/Authors
Hashempour, Majid Department of Statistics - School of Basic Sciences - University of Hormozgan, Bandar Abbas, Iran , Doostparast, Mahdi Department of Statistics - School of Mathematical Sciences - Ferdowsi University of Mashhad, Mashhad, Iran
Pages
10
From page
37
To page
46
Abstract
This article deals with the problem of characterizing the parent distribution
on the basis of the cumulative residual entropy of sequential order statistics under
a conditional proportional hazard rates model. It is shown that the equality of the
cumulative residual entropy in the first sequential order statistics determines uniquely
the parent distribution. Subsequently, we characterize the Weibull distribution on the
basis of the ratio of the cumulative residual entropy of first sequential order statistics
to the corresponding mean. Also, we consider characterizations based on the dynamic
cumulative residual entropy and derive some bounds for the cumulative residual entropy
of residual lifetime of the sequential order statistics.
Keywords
Cumulative residual entropy , Sequential order statistics , Residual lifetime
Journal title
Journal of Statistical Modelling: Theory and Applications (JSMTA)
Serial Year
2020
Record number
2711531
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