Trend change in mean residual life

The authors consider a life distribution which shows a trend change in its mean residual life (MRL). The problem of testing such a trend change has been of great interest in reliability analysis. The authors propose a new procedure for testing the exponentiality against IDMRL or DMIRL, assuming that the proportion of the population, p, that dies at or before the change point of MRL is known. Their test provides a new competitor to the known test procedures, such as the Guess, Hollander, Proschan test and the Aly test. Based on the empirical powers of these tests against lognormal alternatives, their test outperforms the others for most sample sizes and most values of p and that all three tests achieve high power in detecting the trend change of MRL when p is very small and very large