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1. On closure properties of NBU(2) class of life distributions

Author

Kang Dian-tong

Subjects
Discrete mathematics, Pure mathematics, Class (set theory), Series (mathematics), Closure (mathematics), General Mathematics, General Engineering, Renewal theory, Convolution, Mathematics
Abstract

Some new results about the NBU(2) class of life distributions were obtained. Firstly, it was proved that the decrease 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 was also shown that the NBU(2) class is closed under convolution operation.

Published
2005

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