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Some results about the NBUC class of life distributions

✍ Scribed by Xiaohu Li; Zehui Li; Bing-Yi Jing

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
95 KB
Volume
46
Category
Article
ISSN
0167-7152

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✦ Synopsis

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 ΓΏnite) is presented. It is shown that the bound e ectively improves "known bounds" for NBU life distributions. Secondly, a su cient condition characterized by the excess lifetime at t ΒΏ 0 in a renewal process is obtained. In e ect, 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.

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