| 线性模型中数据扰动对模型参数的影响 |
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| 引用本文： | 程鹏鹏,曹连英.线性模型中数据扰动对模型参数的影响[J].哈尔滨商业大学学报(自然科学版),2014(5):614-616. |
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| 作者姓名： | 程鹏鹏 曹连英 |
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| 作者单位： | 东北林业大学,哈尔滨,150040 |
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| 基金项目： | 国家自然科学基金面上项目(31070488)；哈尔滨市科技创新人才研究专项基金(2010RFXXS023)． |
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| 摘 要： | 在实际问题中由于测量及计算误差的存在,得到的数据往往只是真值的某种近似,带有一定的舍入误差,因此有必要研究数据扰动问题.主要对线性模型中数据的扰动问题进行研究,给出线性模型的数据扰动后模型参数仍然可估的充分条件,并进一步讨论了数据扰动对模型参数的影响,给出参数扰动估计式.
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| 关 键 词： | 线性模型 Hermite矩阵 扰动 参数 |
Effect of data perturbation on model parameter in linear model |
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| CHENG Peng-peng,CAO Lian-ying.Effect of data perturbation on model parameter in linear model[J].Journal of Harbin University of Commerce :Natural Sciences Edition,2014(5):614-616. |
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| Authors: | CHENG Peng-peng CAO Lian-ying |
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| Institution: | ( Northeast Forestry University, Harbin 150040, China) |
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| Abstract: | In practical problems , because the existence of measurement and calculation er-rors, the data are often approximate to the true value , with some rounding errors .Therefore, it is necessary to study data perturbation problems .This paper focused on data perturbation problem of linear model .The sufficient condition for model parameters that can be estimated was obtained after the data were perturbed .Furthermore, the effect of data perturbation on model parameters was discussed , and the estimation formula of the parameters was given . |
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| Keywords: | linear model Hermite matrix perturbation parameter |
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