In a 1973 paper J. D. Esary, A. W. Marshall, and F. Proschan considered a shock model giving rise to various nonparametric classes of life distributions of interest in reliability theory. A number of authors have extended these results in a variety of directions. In this paper, alternative proofs of the increasing failure rate (IFR) and decreasing mean residual life (DMRL) results are given which do not make use of the theory of total positivity. Some bivariate extensions are then obtained using a shock model similar to that originally used by H. W. Block, A. S. Paulson, and R. C. Kohberger to unify various bivariate exponential distributions.
|Number of pages
|Naval Research Logistics Quarterly
|Published - 1982
ASJC Scopus subject areas
- Engineering (all)