TY - JOUR
T1 - On the behaviour of some new ageing properties based upon the residual life of k-out-of-n systems
AU - Li, Xiaohu
AU - Zuo, Ming J.
PY - 2002/6
Y1 - 2002/6
N2 - In this paper, we investigate k-out-of-n systems with independent and identically distributed components. Some characterizations of the IFR(2), DMRL, NBU(2) and NBUC classes of life distributions are obtained in terms of the monotonicity of the residual life given that the (n - k)th failure has occurred at time t ≥ 0. These results complement those reported by Belzunce, Franco and Ruiz (1999). Similar conclusions based on the residual life of a parallel system conditioned by the (n - k)th failure time are presented as well.
AB - In this paper, we investigate k-out-of-n systems with independent and identically distributed components. Some characterizations of the IFR(2), DMRL, NBU(2) and NBUC classes of life distributions are obtained in terms of the monotonicity of the residual life given that the (n - k)th failure has occurred at time t ≥ 0. These results complement those reported by Belzunce, Franco and Ruiz (1999). Similar conclusions based on the residual life of a parallel system conditioned by the (n - k)th failure time are presented as well.
KW - DMRL
KW - IFR(2)
KW - Increasing concave order
KW - Increasing convex order
KW - NBU
KW - NBU(2)
KW - NBUC
KW - Parallel system
KW - Residual life
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U2 - 10.1239/jap/1025131440
DO - 10.1239/jap/1025131440
M3 - Article
AN - SCOPUS:0036592584
SN - 0021-9002
VL - 39
SP - 426
EP - 433
JO - Journal of Applied Probability
JF - Journal of Applied Probability
IS - 2
ER -