Title : ( On Properties of Reversed Mean Residual Life Order for Weighted Distributions )
Authors: Salman Izadkhah , Abdolhamid Rezaei Roknabadi , Gholam Reza Mohtashami Borzadaran ,
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Abstract
In this article, first, in order to compare X and Xw (the weighted version of X with weight function w·) according to reversed mean residual life order, we provide an equivalent condition. We then try to provide conditions under which the reversed mean residual life order is preserved by weighted distributions. For this end, we obtain several independent results. Finally, the problem of preservation of increasing reversed mean residual life class under weighting is investigated, as well. Some examples are also given to illustrate the results.
Keywords
, Log, concave; Preservation; Reversed mean residual life order; Reversed hazard rate order; TP2 functions; Weighted distributions.
@article{paperid:1032226,
author = {Izadkhah, Salman and Rezaei Roknabadi, Abdolhamid and Mohtashami Borzadaran, Gholam Reza},
title = {On Properties of Reversed Mean Residual Life Order for Weighted Distributions},
journal = {Communications in Statistics - Theory and Methods},
year = {2013},
volume = {42},
number = {5},
month = {January},
issn = {0361-0926},
pages = {838--851},
numpages = {13},
keywords = {Log-concave; Preservation; Reversed mean residual life
order; Reversed hazard rate order; TP2 functions; Weighted distributions.},
}
%0 Journal Article
%T On Properties of Reversed Mean Residual Life Order for Weighted Distributions
%A Izadkhah, Salman
%A Rezaei Roknabadi, Abdolhamid
%A Mohtashami Borzadaran, Gholam Reza
%J Communications in Statistics - Theory and Methods
%@ 0361-0926
%D 2013
