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Aspects of positive ageing

Published online by Cambridge University Press:  14 July 2016

Jayant V. Deshpande*
Affiliation:
University of Poona
Subhash C. Kochar*
Affiliation:
Panjab University
Harshinder Singh*
Affiliation:
Panjab University
*
Postal address: Department of Statistics, University of Poona, Ganeshkhind, Pune 411 007, India.
∗∗Postal address: Department of Statistics, Panjab University, Chandigarh 160014, India.
∗∗Postal address: Department of Statistics, Panjab University, Chandigarh 160014, India.

Abstract

The concept of positive ageing describes the adverse effects of age on the lifetime of units. Various aspects of this concept are described in terms of conditional probability distributions of residual lifetimes, failure rates, equilibrium distributions, etc. In this paper we further analyse this concept and relate it to stochastic dominance of first and higher orders. In the process we gain many insights and are able to define several new kinds of ageing criteria which supplement those existing in the literature.

Type
Research Paper
Copyright
Copyright © Applied Probability Trust 1986 

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