Some results about the NBUC class of life distributions
By Xiaohu Li, Zehui Li, Bing-Yi Jing. 2000
46 citations recorded by the source corpus.
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.
Subfields: Safety, Risk, Reliability and Quality, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/84a51fe8fd96efd116bad132bf01370781d50a0d
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In Safety, Risk, Reliability and Quality
In Statistics and Probability
- Xiaohu Li
- Subhash C. Kochar
- Moshe Shaked
- Maochao Xu
- Narayanaswamy Balakrishnan
- Jorge Navarro
- Peng Zhao
- Chen Li
Citations in the corpus
- The total time on test transform and the excess wealth stochastic orders of distributions (2002, background): “It follows by Theorem 9 of Li et al. (2000) (or by a more general result of Ross (1996, p. 436) which is also given as Theorem 3.A.9 in Shaked and Shanthikumar (1994)) that max{X1 ,X 2 ,...,X n }≤ icx max{Y1 ,Y 2 ,...,Y n}, and therefore (5.3) holds.”