On generalized multi-state start-up demonstration tests
On generalized multi-state start-up demonstration tests
复制标题
广义多态启动演示测试
DOI：
10.1002/asmb.2041
复制
发表时间：
2015-05
影响因子：
1.4
通讯作者：
Cong Lin
中科院分区：
文献类型：
--
作者：
Xian Zhao;Ge Sun;Weijuan Xie;Cong Lin
针对产品的启动结果往往是多状态的这一事实，在传统的连续成功-全部失败CSTF、全部成功-连续失败TSCF、连续成功-全部失败CSCF和全部成功-全部失败TSTF等两状态启动演示试验的基础上，提出了4种多状态启动演示试验。利用有限马尔可夫链嵌入方法，给出了启动试验的接受概率、拒绝概率、概率质量函数、分布函数以及启动试验终止次数的期望值。我们还提供了一个程序来选择最佳的参数值。此外，利用极大似然估计给出了可能未知概率的估计。最后，给出了一个包含两个表的数值例子来说明多状态启动演示试验的优点。第一个表是为了说明多状态启动演示试验上级两状态启动演示试验。第二部分是在Smith和Griffith设定的α和β值相同的情况下，说明本文提出的四状态模型优于Smith和Griffith提出的CSTF和CS 1 CS 1，2 TF模型的上级。版权所有© 2014约翰威利父子有限公司.
In view of the fact that start-up results of products are usually multi-state, based on the traditional two-state start-up demonstration tests, such as consecutive successes total failures CSTF, total successes consecutive failures TSCF, consecutive successes consecutive failures CSCF and total successes total failures TSTF, four multi-state start-up demonstration tests are proposed in this paper. By using finite Markov chain imbedding approach, the acceptance and rejection probabilities, the probability mass function, the distribution function and the expectation of the number of the start-up tests to be terminated are given. We also provide a procedure to select the optimal parameter values. Besides, the estimations of possibly unknown probabilities are given by using maximum likelihood estimation. Finally, a numerical example that contains two tables is given to illustrate the advantages of multi-state start-up demonstration tests. The first table is presented to illustrate that the multi-state start-up demonstration tests are superior to two-state start-up demonstration tests. The second one is to illustrate that the four-state models proposed in this paper are superior to CSTF and CS 1 CS 1,2 TF proposed by Smith and Griffith with the same values of α and β set by Smith and Griffith. Copyright © 2014 John Wiley & Sons, Ltd.
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影响因子：
5.9
作者：
Femin Yalçin;S. Eryilmaz
通讯作者：
Femin Yalçin;S. Eryilmaz
影响因子：
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影响因子：
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DOI：
10.1080/01621459.1994.10476841
发表时间：
1994-09
影响因子：
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影响因子：
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