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Line 79: === Rule of thumb === Silverman's rule of thumb suggests using <math>\sqrt{\mathbf{H}_{ii}} = \left(\frac{4}{d+2}\right)^{\frac{1}{d+4}} n^{\frac{-1}{d+4}} \sigma_i</math> where <math>\sigma_i</math> is the standard deviation of the ith variable, and <math>d</math> is the number of dimensions, and <math>\mathbf{H}_{ij} = 0, i\neq j</math>. Scott's rule is <math>\sqrt{\mathbf{H}_{ii}} = n^{\frac{-1}{d+4}} \sigma_i</math>. ==Asymptotic analysis==

Multivariate kernel density estimation: Difference between revisions