混合截尾试验下双参数韦布尔分布可靠性指标的参数估计 |
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引用本文: | 孙晓祥,;印赞华,;冯毅夫,;李玉玲,;杜宇静. 混合截尾试验下双参数韦布尔分布可靠性指标的参数估计[J]. 吉林师范大学学报(自然科学版), 2014, 0(2): 58-61 |
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作者姓名: | 孙晓祥, 印赞华, 冯毅夫, 李玉玲, 杜宇静 |
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作者单位: | [1]吉林农业科技学院文理学院,吉林吉林132101; [2]赣南师范学院数学与计算机科学学院,江西赣洲341000; [3]吉林师范大学数学学院,吉林四平136000; [4]北京师范大学珠海分校应用数学学院,广东珠海519085 |
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基金项目: | 吉林省教育厅“十二五”科学技术研究项目(2012474) |
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摘 要: | 定数截尾和定时截尾结合在一起的试验是混合截尾试验.本文主要研究混合截尾试验中韦布尔分布参数的极大似然估计以及可靠度函数和可靠寿命的极大似然估计.并且在正则条件下研究了相应的估计量的相合性和渐近正态性;而且还给出了参数的置信区间.最后利用一个实际数据来说明估计量的性质.
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关 键 词: | 双参数韦布尔分布 混合截尾试验 可靠度函数 可靠寿命 极大似然估计 区间估计 |
Estimation of Reliability Performances for Two-parameter Weibull Distribution with Hybrid Truncated Test |
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Affiliation: | SUN Xiao-xiang , YIN Zan-hua, FENG Yi-fu, LI Yu-ling , YANG Li-juan (1. Department of Art and Science, Jilin Agriculture Science and Technology College ,Jilin 132101, China; 2. School of Mathmatics and Computer Science, GanNan Normal University, Ganzhou 341000, China ; 3. College of Mathmatics, Jilin Normal University, Siping 136000, China ; 4. School of Applied Mathematics, Beijing Normal University, Zhuhai 519085, China) |
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Abstract: | Hybrid truncated test is composed of Type-I and Type-II censoring. In this paper we consider the maximum likelihood estimators(MLEs) of the unknown parameters,reliability function and reliability life for the Weibull distribution with mixed censoring. Under mild conditions,the consistency and asymptotic normality of the proposed estimators are shown,and the confidence interval of parameters are obtained. A real data example will be used to demonstrate the performance of the proposed method. |
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Keywords: | Two-parameter Weibull distribution Hybrid truncated test Reliability function Reliability life Maximum likelihood estimation Interval estimation |
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