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Convergence rate of maxima of bivariate Gaussian arrays to the Hüsler-Reiss distribution

Convergence rate of maxima of bivariate Gaussian arrays to the Hüsler-Reiss distribution

The limit distribution of maxima formed by a triangular array of independent and identically distributed bivariate Gaussian random vectors is the Hüsler-Reiss max-stable distribution if and only if the correlation of each vector approaches one with a certain rate.In this paper, we introduce a second-order condition on the convergence rate …