Some representation theorems in terms of mean residual lifetime and mean inactivity time of coherent systems.

In this paper, we consider ak-out-of-nsystem consisting ofnidentical components with independent lifetimes. We show that when the underlying distribution functionF(t) is absolutely continuous, then it can be univocally determined by some particular mean residual lives or mean inactivity times of the system. It is then shown that these results may be extended to coherent (or mixed) systems. [ABSTRACT FROM AUTHOR]