定数截尾寿命试验中独立Weibull分布寿命比率的统计推断

Inference of Life Time Ratio for Two Independent Weibull Populations in Type-I Truncated Life Time Experiments

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Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (6): 1126-1135.

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LI Jian-Bo¹, ZHANG Ri-Quan^2,3

1.School of Mathematical Sciences, Jiangsu Normal University, Jiangsu Xuzhou 221116;
2.Department of Statistics and Actuarial Science, East China Normal University, Shanghai 200241;
3.Department of Mathematics, Shanxi Datong University, Shanxi Datong 037009

Received:2010-07-22 Revised:2011-12-01 Online:2012-12-25 Published:2012-12-25
Supported by:
江苏师范大学博士教师科研支持项目(11XLR31)、教育部人文社会科学科研项目(12YJC910004)、国家自然科学基金(11171112, 11101114)、教育部博士点基金(20090076110001)和国家统计局重点研究项目(2011LZ051)资助

In this paper, we considered the statistical inference of the life time ratio for two independent populations,which follow different Weibull distribution in no displacement type-I truncated life time experiments. We proposed two estimates for the life time ratio and investigated their theoretical properties. Through data simulation, we illustrated that the proposed esimates can work very well.

Key words: Ratio, Life time, Weibull distribution

CLC Number:

62F12

LI Jian-Bo, ZHANG Ri-Quan. Inference of Life Time Ratio for Two Independent Weibull Populations in Type-I Truncated Life Time Experiments[J].Acta mathematica scientia,Series A, 2012, 32(6): 1126-1135.

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