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多元回归影响度量的一般类别AI 解读

Many of the existing measures for influential subsets in univariate ordinary least squares (OLS) regression analysis have natural extensions to the multivariate regression setting. Such measures may be characterized by functions of the submatrices H I of the hat matrix H, where I is an index set of deleted cases, and Q I , the submatrix of Q = E(E T E)−1 E T , where E is the matrix of ordinary residuals. Two classes of measures are considered: f(·)tr[H I Q I (I − H I − Q I )…

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聚类分析的概率理论AI 解读

An explicit definition of a (k, r)-cluster is proposed. Each (k, r)-cluster has the property that each of its elements is within a distance r of at least k other elements of the same cluster and the entire set can be linked by a chain of links each less than or equal to r. Some exact distributional results are derived under a nonmetric hypothesis for the case k = 1. An example is given to illustrate the use of probability theory in identifying significant clustering…