楼主: vio
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[求助]如果方差-协方差矩阵非正定,该怎么办? [推广有奖]

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vio 发表于 2005-9-14 10:20:00 |AI写论文

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gauss做非线性回归分析时,提示说方差协方差矩阵非正定,这些该如何是好?

gauss中有和修正方法吗?

[此贴子已经被作者于2005-9-14 10:48:13编辑过]

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关键词:协方差矩阵 非正定 协方差 怎么办 线性回归分析 矩阵 协方差

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asterain 发表于3楼  查看完整内容

covariance matrices are generally positive semidefinite. in realcomputation involving sample data, however, numerical errors can causethe sample covariance matrix to be negative semidefinite. In that case,you can calculate the square root of the sample covariance matrixdirectly first and then compute the sample covariance matrix, tomaintain the positivity. however if you are concerned about ran ...

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沙发
johnnie 发表于 2005-9-15 01:43:00

为什么需要正定呢?不解。。。不过相关系数矩阵应该正定了吧!

藤椅
asterain 发表于 2005-9-15 04:15:00
covariance matrices are generally positive semidefinite. in realcomputation involving sample data, however, numerical errors can causethe sample covariance matrix to be negative semidefinite. In that case,you can calculate the square root of the sample covariance matrixdirectly first and then compute the sample covariance matrix, tomaintain the positivity.

however if you are concerned about rank-deficiency of the covariancematrix, there are quite a few reduced-rank subspace methods (i.e.eigenvalue decomposition) that can be helpful, so that you only dealwith the principle components ( this can be found in any multivariablestatistical analysis textbooks).

hope this is helpful.
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板凳
dreamruc 发表于 2011-5-30 23:37:21
我也遇到同样的问题,二楼的答复我不太明白,能进一步解释解释吗?

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