Journal Article

On relative ordering of mean residual lifetime functions

Finkelstein, M. S.
Statistics and Probability Letters, 939–944 (2006)


Some properties of the mean residual lifetime (MRL) functions are studied. The main focus is on relative characteristics. It is proved that under certain assumptions the relative hazard rate ordering leads to corresponding ultimate MRL ordering. This result is applied to stochastic comparison of random variables, described by a baseline and mixture distributions, respectively.
The Max Planck Institute for Demographic Research (MPIDR) in Rostock is one of the leading demographic research centers in the world. It's part of the Max Planck Society, the internationally renowned German research society.