TY - JOUR
T1 - REMARKS ON A UNIVARIATE SHOCK MODEL WITH SOME BIVARIATE GENERALIZATIONS.
AU - Griffith, William S.
PY - 1982
Y1 - 1982
N2 - 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.
AB - 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.
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U2 - 10.1002/nav.3800290107
DO - 10.1002/nav.3800290107
M3 - Article
AN - SCOPUS:0020100004
SN - 0028-1441
VL - 29
SP - 63
EP - 74
JO - Naval Research Logistics Quarterly
JF - Naval Research Logistics Quarterly
IS - 1
ER -