| 基于马尔可夫链嵌入法的两阶段Start-Up验证试验模型 |
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| 引用本文： | 赵先,郑楠,崔利荣,刘芬. 基于马尔可夫链嵌入法的两阶段Start-Up验证试验模型[J]. 北京理工大学学报, 2010, 30(1): 123-126 |
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| 作者姓名： | 赵先 郑楠 崔利荣 刘芬 |
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| 作者单位： | 北京理工大学,管理与经济学院,北京,100081;共青团北京市延庆县委员会,北京,102100 |
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| 基金项目： | 国家自然科学基金资助项目(70901008);;北京市优秀人才培养资助计划(2009D013001000040);;北京理工大学优秀青年教师资助计划(2008Y0818) |
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| 摘 要： | 为了给出两阶段start-up验证试验模型相关指标的解析表达式,构造了符合两阶段start-up验证试验模型状态转移规律的马尔可夫链.应用马尔可夫链相关理论给出了试验次数的期望、方差、分布律、分布函数,以及接受和拒绝产品的概率矩阵表达式.数值示例表明,对于各种参数的两阶段start-up验证试验模型相关指标求解问题,有限马尔可夫链嵌入法比概率生成函数法更加有效.
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| 关 键 词： | 两阶段start-up验证试验 有限马尔可夫链嵌入法 可靠性试验 |
| 收稿时间： | 2009-06-03 |
Two-Stage Start-Up Demonstration Test Models Based on the Finite Markov Chain Imbedding Approach |
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| ZHAO Xian,ZHEN Nan,CUI Li-rong and Liu Fen. Two-Stage Start-Up Demonstration Test Models Based on the Finite Markov Chain Imbedding Approach[J]. Journal of Beijing Institute of Technology(Natural Science Edition), 2010, 30(1): 123-126 |
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| Authors: | ZHAO Xian ZHEN Nan CUI Li-rong Liu Fen |
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| Affiliation: | 1.School of Management and Economics;Beijing Institute of Technology;Beijing 100081;China;2.China Communist Youth League Beijing Yanqing Committee;Beijing 102100;China |
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| Abstract: | In order to get the analytic algorithm for the indexes of two-stage start-up demon-stration test models,a Markov chain which satisfies the state transition rules of the two-stage start-up demonstration test models was constructed.The matrix formulas of the expected value,variance,probability mass function,distribution function of the test length,and the probability of rejection and acceptance were given using Markov chain theory.Numerical examples indicate that the finite Markov chain imbedding approach is ... |
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| Keywords: | two-stage start-up demonstration tests finite Markov chain imbedding approach reliability tests |
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