Abstract

In many practical situations dealing with parallel systems, the failure times of the components are not observable unless that is the last one resulting in the failure of the system. Based on observation on the life time of the system, nonparametric estimation of the life time distributions of the components is considered. Dealing with a parallel system with two components, a competing risks framework is developed and an algorithm of the EM type for maximum likelihood estimation is obtained. The method is illustrated with a simulated data set.

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