Some new results involving the NBU(2) class of life distributions
Xiaohu Li and Subhash C. Kochar
Source: J. Appl. Probab. Volume 38, Number 1
(2001), 242-247.
Abstract
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 interarrival 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.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jap/996986658
Digital Object Identifier: doi:10.1239/jap/996986658
Mathematical Reviews number (MathSciNet): MR1816769
Zentralblatt MATH identifier: 0974.62011
Journal of Applied Probability
