Second order expansions of distributions of maxima of bivariate Gaussian triangular arrays under power normalization

Zhichao Weng; Xin Liao

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arXiv · 1701.00932

Second order expansions of distributions of maxima of bivariate Gaussian triangular arrays under power normalization

Zhichao Weng·Xin Liao

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Abstract

In this paper, we study second order expansions of distributions of maxima of bivariate Gaussian triangular arrays under power normalization. Numerical analysis are given to compare the asymptotic behaviors under power normalization with the asymptotic behaviors under linear normalization derived by Hashorva et al. (2016).

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Zhichao Weng, Xin Liao. 2017-01-04. Second order expansions of distributions of maxima of bivariate Gaussian triangular arrays under power normalization. https://arxiv.org/abs/1701.00932

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