TY - JOUR
T1 - Some results about the NBUC class of life distributions
AU - Li, Xiaohu
AU - Li, Zehui
AU - Jing, Bing Yi
PY - 2000/2/1
Y1 - 2000/2/1
N2 - NBUC class life distributions are dealt with in this paper. Firstly, a lower bound of the reliability function based upon mean and variance (both assumed finite) is presented. It is shown that the bound effectively improves "known bounds" for NBU life distributions. Secondly, a sufficient condition characterized by the excess lifetime at t>0 in a renewal process is obtained. In effect, the decreasing in convex ordering of excess lifetime may result in NBUC interarrivals. Finally, we prove that the NBUC class is preserved under the formation of the parallel system.
AB - NBUC class life distributions are dealt with in this paper. Firstly, a lower bound of the reliability function based upon mean and variance (both assumed finite) is presented. It is shown that the bound effectively improves "known bounds" for NBU life distributions. Secondly, a sufficient condition characterized by the excess lifetime at t>0 in a renewal process is obtained. In effect, the decreasing in convex ordering of excess lifetime may result in NBUC interarrivals. Finally, we prove that the NBUC class is preserved under the formation of the parallel system.
KW - Excess lifetime
KW - Lower Bound
KW - NBUC
KW - Parallel system
KW - Primary 62E10
KW - Secondary 60K10
UR - http://www.scopus.com/inward/record.url?scp=0000384160&partnerID=8YFLogxK
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U2 - 10.1016/S0167-7152(99)00104-2
DO - 10.1016/S0167-7152(99)00104-2
M3 - Article
AN - SCOPUS:0000384160
SN - 0167-7152
VL - 46
SP - 229
EP - 237
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
IS - 3
ER -