A note on the asymptotic distribution of the estimation of the mean past lifetime

Abstract

A measure used in reliability and survival analysis is mean past lifetime (MPL). In this paper, we study the asymptotic strong uniform behavior and the weak convergence of estimation ofMPL function.We also investigate the Hadamard differentiability of MPL at the fixed time and obtain asymptotic distribution of its estimate by using the functional delta method again. © 2013, Springer-Verlag Berlin Heidelberg