We establish the uniform almost complete convergence, with rate, for estimators of both the cumulative hazard and the survival functions when the data are subject to twice censoring. Then, we derive similar convergence results for kernel type estimators of the density and the failure rate.

Reliability has been largely applied to industrial systems in order to study the various possibilities of systems’ failure. The goal is to establish the chain of events leading to any system’s failure, namely the top event. Looking for the minimal paths leading to any system’s fault allows...

The main goal of this article is to generalize the bivariate lack-of-memory property introduced in Marshall & Olkin (1967). Several characterizations of bivariate continuous distributions possessing such a property are established and illustrated by examples.

This paper deals with the analysis of the stochastic behaviour and maintenance planning of shift conversion system with four subsystems A, B, C, D with possible states good and failure. Kumar and Pandey have discussed the process design for crystallisation system along with the maintenance...