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COMPARISONS OF PARALLEL SYSTEMS ACCORDING TO THE CONVEX TRANSFORM ORDER.
- 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