International Journal of Reliability and Applications
- Volume 8 Issue 1
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- Pages.95-109
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- 2007
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- 1598-0073(pISSN)
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- 2283-8914(eISSN)
On Some New Stochastic Orders of Interest in Reliability Theory
- Kayid, M. (Department of Statistics and Operations Research King Saud University) ;
- El-Bassiouny, A.H. (Department of Statistics and Operations Research King Saud University) ;
- Al-Wasel, I.A. (Department of Statistics and Operations Research King Saud University)
- Published : 2007.06.30
Abstract
The purpose of this paper is to study new notions of stochastic comparisons and ageing classes based on the total time on test transform order. We give relationships to other stochastic orders and aging classes given previously. Several preservation properties under the reliability operations of random minima and series system are given.
Keywords
- Stochastic order;
- total time on test transform order;
- increasing concave order;
- mean inactivity time order