| 以截尾伽玛分布为先验分布的产品失效率的贝叶斯估计 |
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| 引用本文： | 赵喜林,赵煜,余东.以截尾伽玛分布为先验分布的产品失效率的贝叶斯估计[J].数学杂志,2014,34(1):186-190. |
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| 作者姓名： | 赵喜林 赵煜 余东 |
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| 作者单位： | 武汉科技大学理学院;成都电子科技大学微固学院 |
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| 基金项目： | 湖北省冶金与工业过程重点实验室基金资助(Y201319) |
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| 摘 要： | 本文研究了基于泊松分布的产品失效率估计问题.利用贝叶斯统计推断方法,获得了以截尾伽玛分布为先验分布时,产品失效率的贝叶斯估计和相关性质,推广了以伽玛分布为先验分布的贝叶斯估计结果.
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| 关 键 词： | 泊松分布 截尾伽玛分布 失效率 贝叶斯估计 |
| 收稿时间： | 2013/8/10 0:00:00 |
| 修稿时间： | 2013/10/9 0:00:00 |
THE BAYESIAN ESTIMATION OF PRODUCT FAILURE RATE WITH TRUNCATION GAMMA DISTRIBUTION AS PRIOR DISTRIBUTION |
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| ZHAO Xi-lin,ZHAO Yu and YU Dong.THE BAYESIAN ESTIMATION OF PRODUCT FAILURE RATE WITH TRUNCATION GAMMA DISTRIBUTION AS PRIOR DISTRIBUTION[J].Journal of Mathematics,2014,34(1):186-190. |
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| Authors: | ZHAO Xi-lin ZHAO Yu and YU Dong |
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| Institution: | ZHAO Xi-lin;ZHAO Yu;YU Dong;College of Science,Wuhan University of Science and Technology;School of Microelectronics and Solid-State Electronics,University of Electronic Science and Technology of China; |
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| Abstract: | In this paper, we study the problem of estimation for product failure rate based on Poisson distribution. By using the method of Bayesian statistical inference, the Bayesian estimation and related properties of product failure rate with truncated gamma distribution as prior distribution is presented, which generalize the results of Bayesian estimation when gamma distribution as prior distribution. |
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| Keywords: | Poisson distribution Truncated gamma distribution failure rate Bayesian estimation |
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