| 基于指数分布的可靠度函数及其反函数的UMVU估计 |
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| 引用本文： | 王炳章,吴雁.基于指数分布的可靠度函数及其反函数的UMVU估计[J].烟台大学学报(自然科学与工程版),2006,19(3):157-161. |
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| 作者姓名： | 王炳章 吴雁 |
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| 作者单位： | 烟台大学,数学与信息科学系,山东,烟台,264005 |
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| 摘 要： | 可靠性理论中，可靠度函数及其反函数通常都是未知的，需要依据样本进行估计．在服从指数分布的情况下，研究了可靠度函数及其反函数的UMVU估计的存在性问题；利用充分统计量和完备统计量理论，分别给出了指数分布情形下可靠度函数及其反函数的UMVU估计；进一步讨论了估计的相合性问题，证明了上面给出的可靠度函数及其反函数的UMVU估计具有强相合性．
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| 关 键 词： | 可靠度函数 UMVU估计 强相合性 |
| 文章编号： | 1004-8820（2006）03-0157-05 |
| 收稿时间： | 2005-07-20 |
| 修稿时间： | 2005-07-20 |
UMVU Estimator of Reliability Function and Its Inverse Function Based on Exponential Distribution |
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| WANG Bing-zhang,WU Yan.UMVU Estimator of Reliability Function and Its Inverse Function Based on Exponential Distribution[J].Journal of Yantai University(Natural Science and Engineering edirion),2006,19(3):157-161. |
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| Authors: | WANG Bing-zhang WU Yan |
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| Institution: | Department of Mathematics and Informational Science, Yantai University, Yantai 264005, China |
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| Abstract: | In the reliability theory, reliability function and its inverse function are usually unknown and need to be estimated by using sample. For the population of exponential distribution, existence problem of uniformly minimum variance unbiased estimators of the reliability function and its inverse function are investigated. The uniformly minimum variance unbiased estimators of the reliability function and its inverse function for the exponential distribution are obtained by the theories of sufficient statistic and complete statistic. Furthermore, consistency of the estimators is discussed, and the uniformly minimum variance unbiased estimators of the reliability function and its inverse function are proved to be strong consistent. |
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| Keywords: | reliability function uniformly minimum variance unbiased estimator strong consistency |
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