TY - JOUR
T1 - Some properties of ageing notions based on the moment-generating-function order
AU - Li, Xiaohu
PY - 2004/9
Y1 - 2004/9
N2 - Classes of life distributions based on the moment-generating-function order are investigated in this paper. It is shown firstly that the class M is closed under both convex linear combination and geometric compounding. Secondly, the class NBU mg (new better than used in the moment-generating-function order) is proved to be closed under increasing star-shaped transformations. Finally, the interplay between the stochastic comparison of the excess lifetime of a renewal process and the NBU mg interarrivals is studied.
AB - Classes of life distributions based on the moment-generating-function order are investigated in this paper. It is shown firstly that the class M is closed under both convex linear combination and geometric compounding. Secondly, the class NBU mg (new better than used in the moment-generating-function order) is proved to be closed under increasing star-shaped transformations. Finally, the interplay between the stochastic comparison of the excess lifetime of a renewal process and the NBU mg interarrivals is studied.
KW - Convex linear combination
KW - Convolution
KW - Geometric compounding
KW - M -class
KW - M-class
KW - NBU
KW - Star-shaped transform
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U2 - 10.1239/jap/1091543435
DO - 10.1239/jap/1091543435
M3 - Article
AN - SCOPUS:10244222406
SN - 0021-9002
VL - 41
SP - 927
EP - 934
JO - Journal of Applied Probability
JF - Journal of Applied Probability
IS - 3
ER -