Failure rate and mean residual life with trend changes

In this paper we consider certain parametric models that show the trend change in either its failure rate or its mean residual life. The conditions that characterize the relations between failure rate and mean residual life are derived in general and we apply these results to the Hjorth model with three parameters to explore such relations in details. We also present some graphical comparisons for the change points of both failure rate and mean residual life for selected combinations of three parameter values for the Hjorth model.