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Some New Results Involving the NBU(2) Class of Life Distributions

Xiaohu Li and Subhash C. Kochar
Journal of Applied Probability
Vol. 38, No. 1 (Mar., 2001), pp. 242-247
Stable URL: http://www.jstor.org/stable/3215756
Page Count: 6
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Some New Results Involving the NBU(2) Class of Life Distributions
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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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