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Spearman's rank correlation is a robust alternative for the standard correlation coefficient. By using ranks instead of … on this rank correlation measure for estimating covariance matrices and their inverses. The resulting estimator is robust … is therefore said to be sparse. Instead of Spearman's rank correlation, one can use the Quadrant correlation or Gaussian …
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We study the rank of the instantaneous or spot covariance matrix Σ(t) of a multidimensional continuous semi-martingale X(t). Given highfrequency observations X(i=n), i = 0; : : : ;n, we test the null hypothesis rank (Σ(t)) ≤ r for all t against local alternatives where the average (r + 1)st...
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The Gaussian rank correlation equals the usual correlation coefficient computed from the normal scores of the data … correlation matrix based on the Gaussian rank correlation is always positive semidefinite, and very easy to compute, also in high … the popular Kendall and Spearman correlation measures. In the empirical application, we show how it can be used for …
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