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On Closure Properties of NBU(2) Class of Life Distributions

On Closure Properties of NBU(2) Class of Life Distributions
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摘要 Some new results about the NBU(2) class of life distributions were obtained. Fir stly, it was proved that the decrease with time of the increasing concave orderi ng of the excess lifetime in a renewal process leads to the NBU(2) property of t he interarrival times. Secondly, the NBU(2) class of life distributions is prove d to be closed under the formation of series systems. Finally, it was also shown that the NBU(2) class is closed under convolution operation. Some new results about the NBU(2) class of life distributions were obtained. Fir stly, it was proved that the decrease with time of the increasing concave orderi ng of the excess lifetime in a renewal process leads to the NBU(2) property of t he interarrival times. Secondly, the NBU(2) class of life distributions is prove d to be closed under the formation of series systems. Finally, it was also shown that the NBU(2) class is closed under convolution operation.
作者 康殿统
出处 《Journal of Shanghai University(English Edition)》 CAS 2005年第2期103-106,共4页 上海大学学报(英文版)
关键词 renewal process NBU(2) CONVOLUTION series syste m increasing concave order. renewal process, NBU(2), convolution, series syste m, increasing concave order.
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参考文献5

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