Title : ( PROPERTIES OF n-LAPLACE TRANSFORM RATIO ORDER AND L(n)-CLASS OF LIFE DISTRIBUTIONS )
Authors: Jalil Jarrahiferiz , Gholam Reza Mohtashami Borzadaran , Abdolhamid Rezaei Roknabadi ,
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Abstract
One notion of stochastic comparisons of non-negative random variables based on ra- tios of nth derivative of Laplace transforms (n-Laplace transform order or shortly ≤n-Lt-r order) is introduced by Mulero et al. (2010). In addition, they studied some of its applications in frailty models. In this paper, we have focused on some further properties of this order. In particular, we have shown that ≤n-Lt-r order implies dual weak likelihood ratio order (≤DWLR order). Moreover, ≤n-Lt-r order, under certain circumstances, implies likelihood ratio order (≤lr order). Finally, the L(n) ( ¯ L(n))-class of life distribution is proposed and studied. This class reduces to L ( ¯ L)-class if we take n = 0.
Keywords
likelihood ratio order; hazard rate order; shock models; dual weak likelihood ratio ordering; totally positive of order 2 (TP2).
@article{paperid:1059572,
author = {Jalil Jarrahiferiz and Mohtashami Borzadaran, Gholam Reza and Rezaei Roknabadi, Abdolhamid},
title = {PROPERTIES OF n-LAPLACE TRANSFORM RATIO ORDER AND L(n)-CLASS OF LIFE DISTRIBUTIONS},
journal = {Revstat Statistical Journal},
year = {2016},
volume = {14},
number = {3},
month = {June},
issn = {1645-6726},
pages = {229--244},
numpages = {15},
keywords = {likelihood ratio order; hazard rate order; shock models; dual weak likelihood ratio
ordering; totally positive of order 2 (TP2).},
}
%0 Journal Article
%T PROPERTIES OF n-LAPLACE TRANSFORM RATIO ORDER AND L(n)-CLASS OF LIFE DISTRIBUTIONS
%A Jalil Jarrahiferiz
%A Mohtashami Borzadaran, Gholam Reza
%A Rezaei Roknabadi, Abdolhamid
%J Revstat Statistical Journal
%@ 1645-6726
%D 2016
