Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (3): 364-369.
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Abstract:
In this paper, for zerofailure data of exponential distribution, if the prior density kernel of the failure rate λ is in form of λa-1, the author gives λ Bayesian estimation and hierarchical Bayesian estimation. When for life distribution such as exponential distribution of certain hydraulic engine , the author gives, then the reliability estimation of certain hydraulic engine under zero-failure data condition is obtained also.
Key words: Ｚｅｒｏ-ｆａｉｌｕｒｅｄａｔａ, Ｆａｉｌｕｒｅｒａｔｅ, Ｂａｙｅｓｉａｎｅｓｔｉｍａｔｉｏｎ, ＨｉｅｒａｒｃｈｉｃａｌＢａｙｅｓｉａｎｅｓｔｉｍａｔｉｏｎ, Ｈｙｄｒａｕｌｉｃｅｎｇｉｎｅ
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Han Ming. Estimation of Failure Rate and its' Applications in the Case of Zero-Failure Data[J].Acta mathematica scientia,Series A, 2000, 20(3): 364-369.
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http://121.43.60.238/sxwlxbA/EN/Y2000/V20/I3/364
１ ＭａｒｔｚＨ Ｆ，ＷａｌｌｅｒＲ Ａ．ＡＢａｙｅｓＺｅｒｏｆａｉｌｕｒｅ（ＢＡＺＥ）ｒｅｌｉａｂｉｌｉｔｙｄｅｍｏｎｓｔｒａｔｉｏｎｔｅｓｔｉｎｇｐｒｏｃｅｄｕｒｅ．ＪｏｕｒｎａｌｏｆＱｕａｌｉｔｙＴｅｃｈｎｏｌｏｇｙ，１９７９，１１（３）：１２８－１３７ ２ 韩明．无失效数据的可靠性分析．北京：中国统计出版社，１９９９ ３ 韩明．无失效数据的Ｂａｙｅｓ和多层Ｂａｙｅｓ估计．运筹与管理，１９９８，７（１）：６－１１ ４ 韩明．多层先验分布的构造及其应用．运筹与管理，１９９７，６（３）：３１－４０ ５ 张金槐，唐雪梅．ＢＡＹＥＳ方法．长沙：国防科技大学出版社，１９９３ ６ 张尧庭，陈汉峰．贝叶斯统计推断．北京：科学出版社，１９９１ ７ 韩明，丁元耀，陈涛．指数分布无失效数据的多层Ｂａｙｅｓ分析．数理统计与管理，１９９８，１７（４）：２４－２７ ８ 张忠占，杨振海．无失效数据的处理．数理统计与应用概率，１９８９，４（４）：５０７－５１６ ９ 王玲玲，王炳兴．无失效数据的统计分析方法———修正似然函数方法．数理统计与应用概率，１９９６，１１（１）：６４－７０ １０ 贺国芳．可靠性数据的收集与分析．北京：国防工业出版社，１９９５ １１ ＬｉｎｄｌｅｙＤ Ｖ，ＳｍｉｔｈＦ Ｍ．Ｂａｙｅｓｅｓｔｉｍａｔｅｒｓｆｏｒｔｈｅｌｉｎｅａｒｍｏｄｅｌ．ＪＲｏｙＳｔａｔｉｓｔＳｏｃ（ＳｅｒＢ），１９７２，３４：１－４１ １２ ＢｅｒｇｅｒＪＯ．ＳｔａｔｉｓｔｉｃａｌｄｅｃｉｓｉｏｎｔｈｅｏｒｙａｎｄｂａｙｅｓｉａｎＡｎａｌｙｓｉｓ．Ｎｅｗ Ｙｏｒｋ：ＳｐｒｉｎｇｅｒＶｅｒｌａｇ，１９８５
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