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因子分析模型中的线性预测
For the problem of linear prediction in the factor analysis model, the heuristic predictor suggested by Scott (1966) and the unbiased predictor proposed by King (1969) are shown to be mathematically identical respectively with the optimal biased predictor and the optimal unbiased predictor due to Lawley & Maxwell (1973).
因子分析模型中的线性预测
For the problem of linear prediction in the factor analysis model, the heuristic predictor suggested by Scott (1966) and the unbiased predictor proposed by King (1969) are shown to be mathematically identical respectively with the optimal biased predictor and the optimal unbiased predictor due to Lawley & Maxwell (1973).
多元样本二次型非零特征值的互异性
This paper shows that a quadratic form in a multivariate sample has a certain rank and its nonzero eigenvalues are distinct with probability one under the assumption that the matrix defining the quadratic form satisfies a certain rank condition and that the underlying distribution of the sample is absolutely continuous with respect to Lebesgue measure.