Publication: Percentile residual life orders
Loading...
Identifiers
Publication date
2008-11
Defense date
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
In this paper we study a family of stochastic orders of random variables defined
via the comparison of their percentile residual life functions. Some interpretations
of these stochastic orders are given, and various properties of them are derived.
The relationships to other stochastic orders are also studied. Finally, some
applications in reliability theory and finance are described.
Description
Keywords
Mean residual life function, Hazard rate order, Reversed hazard rate order, Mixtures, Lehmann's alternative, Proportional hazards, Imperfect repair, Reliability theory, Value at risk, Deductible