提出一种基于灰色系统理论和贝叶斯信息融合理论评定小样本自动测试系统(Automatic Test System,ATS)测量不确定度的新方法。该方法在已有测量不确定度灰色评定模型的基础上,引入灰色关联理论,建立新灰色评定模型,并引入贝叶斯信息融合...提出一种基于灰色系统理论和贝叶斯信息融合理论评定小样本自动测试系统(Automatic Test System,ATS)测量不确定度的新方法。该方法在已有测量不确定度灰色评定模型的基础上,引入灰色关联理论,建立新灰色评定模型,并引入贝叶斯信息融合思想,融合历史测量数据和当前测量数据的评定结果,得到最终测量不确定度。以某ATS测量链中具体的传递单元作为实例,按该方法计算测量不确定度,并将评定结果与其他常用方法评定结果进行比较,达到很好的一致性,且该方法评定小样本ATS静态测量得到的结果准确度高,评定小样本ATS动态测量,更符合其动态测量特性且计算量小。展开更多
How to obtain proper prior distribution is one of the most critical problems in Bayesian analysis. In many practical cases, the prior information often comes from different sources, and the prior distribution form cou...How to obtain proper prior distribution is one of the most critical problems in Bayesian analysis. In many practical cases, the prior information often comes from different sources, and the prior distribution form could be easily known in some certain way while the parameters are hard to determine. In this paper, based on the evidence theory, a new method is presented to fuse the information of multiple sources and determine the parameters of the prior distribution when the form is known. By taking the prior distributions which result from the information of multiple sources and converting them into corresponding mass functions which can be combined by Dempster-Shafer (D-S) method, we get the combined mass function and the representative points of the prior distribution. These points are used to fit with the given distribution form to determine the parameters of the prior distribution. And then the fused prior distribution is obtained and Bayesian analysis can be performed. How to convert the prior distributions into mass functions properly and get the representative points of the fused prior distribution is the central question we address in this paper. The simulation example shows that the proposed method is effective.展开更多
文摘提出一种基于灰色系统理论和贝叶斯信息融合理论评定小样本自动测试系统(Automatic Test System,ATS)测量不确定度的新方法。该方法在已有测量不确定度灰色评定模型的基础上,引入灰色关联理论,建立新灰色评定模型,并引入贝叶斯信息融合思想,融合历史测量数据和当前测量数据的评定结果,得到最终测量不确定度。以某ATS测量链中具体的传递单元作为实例,按该方法计算测量不确定度,并将评定结果与其他常用方法评定结果进行比较,达到很好的一致性,且该方法评定小样本ATS静态测量得到的结果准确度高,评定小样本ATS动态测量,更符合其动态测量特性且计算量小。
文摘How to obtain proper prior distribution is one of the most critical problems in Bayesian analysis. In many practical cases, the prior information often comes from different sources, and the prior distribution form could be easily known in some certain way while the parameters are hard to determine. In this paper, based on the evidence theory, a new method is presented to fuse the information of multiple sources and determine the parameters of the prior distribution when the form is known. By taking the prior distributions which result from the information of multiple sources and converting them into corresponding mass functions which can be combined by Dempster-Shafer (D-S) method, we get the combined mass function and the representative points of the prior distribution. These points are used to fit with the given distribution form to determine the parameters of the prior distribution. And then the fused prior distribution is obtained and Bayesian analysis can be performed. How to convert the prior distributions into mass functions properly and get the representative points of the fused prior distribution is the central question we address in this paper. The simulation example shows that the proposed method is effective.
