Statistics for Maintenance Modelling: Continuous Lifetime Distributions 2

# Question to Find the Mean Residual Life for the Pareto Distribution¤

Find the mean residual life function, MRL(x) = , for the Pareto distribution (i.e. the expected life left for an item of age x). Is it:

None of these.

Yes, that's right. Since = - , f(t) = and
R(t) = 1 - F(t) = = we get and

.

Subtracting the former from the latter gives .
No, that's not right. Since = - , f(t) = and
R(t) = 1 - F(t) = = we get and

.

Subtracting the former from the latter gives .