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COMPARISONS OF PARALLEL SYSTEMS ACCORDING TO THE CONVEX TRANSFORM ORDER.

Authors :
Kochar, Sub Hash
Maochao Xu
Source :
Journal of Applied Probability; Jun2009, Vol. 46 Issue 2, p342-352, 11p
Publication Year :
2009

Abstract

A parallel system with heterogeneous exponential component lifetimes is shown to be more skewed (according to the convex transform order) than the system with independent and identically distributed exponential components. As a consequence, equivalent conditions for comparing the variabilities of the largest order statistics from heterogeneous and homogeneous exponential samples in the sense of the dispersive order and the right- spread order are established. A sufficient condition is also given for the proportional hazard rate model. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00219002
Volume :
46
Issue :
2
Database :
Complementary Index
Journal :
Journal of Applied Probability
Publication Type :
Academic Journal
Accession number :
43729449
Full Text :
https://doi.org/10.1239/jap/1245676091