The mean residual life (MRL) function is very useful in defining a good decision-making criterion for replacement policies and in solving burn-in problems. Furthermore it provides a more descriptive measure of the ageing process than the hazard rate. In this paper a useful relationship between the asymptotic values of the mean residual life function and the hazard rate of a generic continuous distribution function is derived. It is also shown that the derivative of the MRL function of a positive random variable always tends to zero as t approaches infinity.
On the asymptotic behaviour of mean residual life function
Calabria R;Pulcini G
1987
Abstract
The mean residual life (MRL) function is very useful in defining a good decision-making criterion for replacement policies and in solving burn-in problems. Furthermore it provides a more descriptive measure of the ageing process than the hazard rate. In this paper a useful relationship between the asymptotic values of the mean residual life function and the hazard rate of a generic continuous distribution function is derived. It is also shown that the derivative of the MRL function of a positive random variable always tends to zero as t approaches infinity.File in questo prodotto:
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