| Multivariate discrimination technique based on the Bayesian theory |
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| 作者姓名： | 靳平 潘常周 肖卫国 |
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| 作者单位： | Northwest Institute of Nuclear Technology，Northwest Institute of Nuclear Technology，Northwest Institute of Nuclear Technology Xi'an 710613 China，Xi'an 710613 China，Xi’an 710613 China |
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| 基金项目： | Foundation item： Foundation of Verification Researches for Army Control Technology （513310101）. |
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| 摘 要： | A multivariate discrimination technique was established based on the Bayesian theory. Using this technique, P/S ratios of different types (e.g., Pn/Sn, Pn/Lg, Pg/Sn or Pg/Lg) measured within different frequency bands and from different stations were combined together to discriminate seismic events in Central Asia. Major advantages of the Bayesian approach are that the probability to be an explosion for any unknown event can be directly calculated given the measurements of a group of discriminants, and at the same time correlations among these discriminants can be fully taken into account. It was proved theoretically that the Bayesian technique would be optimal and its discriminating performance would be better than that of any individual discriminant as well as better than that yielded by the linear combination approach ignoring correlations among discriminants. This conclusion was also validated in this paper by applying the Bayesian approach to the above-mentioned observed data.
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| 关 键 词： | 叶贝斯定理 地震 多变量辨别 频率 |
| 文章编号： | 1000-9116（2007）05-0562-09 |
| 收稿时间： | 19 March 2007 |
| 修稿时间： | 2007-03-19 |
Multivariate discrimination technique based on the Bayesian theory |
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| Jin Ping , Pan Chang-zhou and Xiao Wei-guo.Multivariate discrimination technique based on the Bayesian theory[J].Acta Seismologica Sinica(English Edition),2007,20(5):562-570. |
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| Authors: | Jin Ping Pan Chang-zhou and Xiao Wei-guo |
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| Institution: | (1) Northwest Institute of Nuclear Technology, Xi’an, 710613, China |
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| Abstract: | A multivariate discrimination technique was established based on the Bayesian theory. Using this technique, P/S ratios of different types (e.g., Pn/Sn, Pn/Lg, Pg/Sn or Pg/Lg) measured within different frequency bands and from different stations were combined together to discriminate seismic events in Central Asia. Major advantages of the Bayesian approach are that the probability to be an explosion for any unknown event can be directly calculated given the measurements of a group of discriminants, and at the same time correlations among these discriminants can be fully taken into account. It was proved theoretically that the Bayesian technique would be optimal and its discriminating performance would be better than that of any individual discriminant as well as better than that yielded by the linear combination approach ignoring correlations among discriminants. This conclusion was also validated in this paper by applying the Bayesian approach to the above-mentioned observed data. |
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| Keywords: | seismic events discriminant multivariate Bayesian |
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