TY - JOUR
T1 - Some new results involving the NBU(2) class of life distributions
AU - Li, Xiaohu
AU - Kochar, Subhash C.
PY - 2001/3
Y1 - 2001/3
N2 - Some new results about the NBU(2) class of life distributions are obtained. Firstly, it is proved that the decreasing with time of the increasing concave ordering of the excess lifetime in a renewal process leads to the NBU(2) property of the interarrivai times. Secondly, the NBU(2) class of life distributions is proved to be closed under the formation of series systems. Finally, it is also shown that the NBU(2) class is closed under convolution operation.
AB - Some new results about the NBU(2) class of life distributions are obtained. Firstly, it is proved that the decreasing with time of the increasing concave ordering of the excess lifetime in a renewal process leads to the NBU(2) property of the interarrivai times. Secondly, the NBU(2) class of life distributions is proved to be closed under the formation of series systems. Finally, it is also shown that the NBU(2) class is closed under convolution operation.
KW - Convolution
KW - Excess lifetime
KW - NBU(2)
KW - Series systems
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U2 - 10.1239/jap/996986658
DO - 10.1239/jap/996986658
M3 - Article
AN - SCOPUS:0035533795
SN - 0021-9002
VL - 38
SP - 242
EP - 247
JO - Journal of Applied Probability
JF - Journal of Applied Probability
IS - 1
ER -