Title : ( Discrete dynamic cumulative residual entropy )
Authors: M. Khorashadizadeh , Abdolhamid Rezaei Roknabadi , Gholam Reza Mohtashami Borzadaran ,
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Abstract
The concepts of cumulative residual entropy (CRE) and dynamic cumulative residual entropy (DCRE) were defined first in the continuous case by Rao et al. (2004), Rao (2005) and Asadi and Zohrevand (2007). In this paper, we define and study the discrete version of CRE and obtain a lower bound for it based on mean residual life (MRL) function. Also its relation with the class of new better (worse) than used in expectation and hazard rate is achieved. Furthermore the discrete version of normalised CRE (NCRE) is defined and illustrated by some examples. Also, the DCRE in the discrete case is introduced and a lower (an upper) bound is obtained. Finally, it is shown that the DCRE can characterise the distribution function and an example of real data is presented.
Keywords
, Shannon entropy, CRE, cumulative residual entropy, DCRE, dynamic cumulative residual entropy, MRL, mean residual life, hazard rate.
@article{paperid:1061245,
author = {M. Khorashadizadeh and Rezaei Roknabadi, Abdolhamid and Mohtashami Borzadaran, Gholam Reza},
title = {Discrete dynamic cumulative residual entropy},
journal = {International Journal of Reliability and Safety},
year = {2016},
volume = {10},
number = {3},
month = {September},
issn = {1479-389X},
pages = {210--226},
numpages = {16},
keywords = {Shannon entropy; CRE; cumulative residual entropy; DCRE;
dynamic cumulative residual entropy; MRL; mean residual life; hazard rate.},
}
%0 Journal Article
%T Discrete dynamic cumulative residual entropy
%A M. Khorashadizadeh
%A Rezaei Roknabadi, Abdolhamid
%A Mohtashami Borzadaran, Gholam Reza
%J International Journal of Reliability and Safety
%@ 1479-389X
%D 2016
