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Some generalized variability orderings among life distributions with reliability applications

Published online by Cambridge University Press:  14 July 2016

M. C. Bhattacharjee
M. C. Bhattacharjee*
Affiliation:
New Jersey Institute of Technology
*
∗Postal address: Center for Applied Mathematics and Statistics, Department of Mathematics, New Jersey Institute of Technology, Newark, NJ 07102, USA.
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Abstract

We investigate a generalized variability ordering and its weaker versions among non-negative random variables (lifetimes of components). Our results include a necessary and sufficient condition which justifies the generalized variability interpretation of this dominance relation between life distributions, relationships to some weakly aging classes in reliability theory, closure properties and inequalities for the mean life of series and parallel systems under such ordering.

Keywords

PARTIAL ORDERINGLIFE DISTRIBUTIONS AND AGING CLASSESCLOSURE PROPERTIESMEAN LIFESERIES AND PARALLEL SYSTEMS
Type
Research Papers
Information
Journal of Applied Probability , Volume 28 , Issue 2 , June 1991 , pp. 374 - 383
Copyright
Copyright © Applied Probability Trust 1991 

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Footnotes

Research supported by SBR Grant 4–2–1710–1008 from the NJIT Foundation.

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