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Maxima and minima of independent and non-identically distributed bivariate Gaussian triangular arrays (1604.05977v2)
Published 20 Apr 2016 in math.PR
Abstract: In this paper, joint limit distributions of maxima and minima on independent and non-identically distributed bivariate Gaussian triangular arrays is derived as the correlation coefficient of $i$th vector of given $n$th row is the function of $i/n$. Furthermore, second-order expansions of joint distributions of maxima and minima are established if the correlation function satisfies some regular conditions.
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