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《College Mathematics》 2015-01
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Some Comparisons on Replacement Intervals Based upon NBUE Class Underlying Distributions

WU Yi-xiang;ZHU Xiao-lin;Wang Chuan-qi;School of mathematics,Hefei University of Technology;Polytechnic Department,Tongcheng Normal College;  
After some basic definitions being introduced,the replacement intervals under the age replacement policy and under the block replacement policy were proved to be larger respectively,in the sense of expectation order,than that of ordinary renewal process if and only if the underlying distribution belongs to NBUE class.The stochastic comparisons of the replacement intervals between the age replacement policies and between the block replacement policies with different parameters were made as well in this paper.
【Fund】: 国家自然科学基金(61272024);; 安徽高校省级自然科学研究项目(KJ2013B297);; 安徽省省级质量工程项目(2012zy007)
【CateGory Index】: O213.2
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