| 基于岭估计的概率积分法预计参数的求取 |
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| 引用本文： | 王明柱,郭广礼,王磊,王彬. 基于岭估计的概率积分法预计参数的求取[J]. 煤矿开采, 2012, 17(2): 17-19,85 |
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| 作者姓名： | 王明柱 郭广礼 王磊 王彬 |
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| 作者单位： | 中国矿业大学 江苏省资源环境信息工程重点实验室,江苏徐州221116;中国矿业大学 国土环境与灾害监测国家测绘局重点实验室,江苏徐州221116 |
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| 基金项目： | 国家自然科学基金重点项目，国家公益性行业基金资助项目，中国矿业大学青年科研基金资助项目 |
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| 摘 要： | 采用最小二乘拟合求取概率积分法预计参数时,经常遇到发散问题,致使求参结果失真。而求参过程中法矩阵的病态是造成结果发散的主要原因之一。将岭估计应用于预计参数的求取中,能够有效地克服传统最小二乘拟合求参时法矩阵的病态。在给出基于岭估计求参模型的同时,使用Matlab实现了参数的自动求取。最后通过模拟算例验证了该求参模型克服法矩阵病态的有效性及求参结果的可靠性。
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| 关 键 词： | 岭估计 概率积分法 求参 开采沉陷 L曲线法 |
Prediction Parameters Calculation of Probability Integration Method Based on Ridge Estimate |
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| WANG Ming-zhu , GUO Guang-li , WANG Lei , WANG Bin. Prediction Parameters Calculation of Probability Integration Method Based on Ridge Estimate[J]. Coal Mining Technology, 2012, 17(2): 17-19,85 |
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| Authors: | WANG Ming-zhu GUO Guang-li WANG Lei WANG Bin |
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| Affiliation: | 1,2(1.Key Laboratory of Resources Environment Information Engineering of Jiangsu Province,China University of Mining & Technology,Xuzhou 221116, China;2.Key Laboratory of Land Environment and Disaster Monitoring of State Bureau of Surveying and Mapping,China University of Mining & Technology,Xuzhou 221116,China) |
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| Abstract: | Divergence problem will often result in parameters distortion in solve prediction parameters of probability integration method with least square method.Morbidity of normal matrix is one of main divergence reasons.Ridge estimate was applied in solving prediction parameters,which could effectively overcome distortion of normal matrix.At the same time,Matlab was used to realize parameters’ automatic solving.A simulation example was present to verify the model. |
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| Keywords: | ridge estimate probability integration method parameter solve mining subsidence L curve method |
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