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20132017
most citedLimit Laws for Extremes of Dependent Stationary Gaussian Arrays

31 citations · 50 across the 10 of their papers we have counts for

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10 papers

math.PR2017

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

Zhichao Weng, Xin Liao

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 compar…

math.PR2016★ 1 cited

Second-order asymptotics on distributions of maxima of bivariate elliptical arrays

Xin Liao, Zhichao Weng, Zuoxiang Peng

Let be a triangular array of independent bivariate elliptical random vectors with the same distribution function as $(S_{1}, ρ_{n}…

math.PR2014★ 31 cited

Limit Laws for Extremes of Dependent Stationary Gaussian Arrays

E. Hashorva, Z. Weng

In this paper we show that the componentwise maxima ofweakly dependent bivariate stationary Gaussian triangular arrays converge in distribution after normalisation to Hüsler-Reiss…

math.PR2014★ 5 cited

Tail asymptotic of Weibull-type risks

E. Hashorva, Z. Weng

In this paper we derive the tail asymptotics of the product of two dependent Weibull-type risks, which is of interest in various statistical and applied probability problems. Our r…

math.PR2014

Higher-order expansions of distributions of maxima in a Hüsler-Reiss model

E. Hashorva, Z. Peng, Z. Weng

The max-stable Hüsler-Reiss distribution which arises as the limit distribution of maxima of bivariate Gaussian triangular arrays has been shown to be useful in various extreme val…

math.PR2014

Maxima of a triangular array of multivariate Gaussian sequence

Enkelejd Hashorva, Liang Peng, Zhichao Weng

It is known that the normalized maxima of a sequence of independent and identically distributed bivariate normal random vectors with correlation coefficient is asympt…

math.PR2013

Limit Laws for Maxima of Contracted Stationary Gaussian Sequences

Enkelejd Hashorva, Zhichao Weng

The principal results of this contribution are the weak and strong limits of maxima of contracted stationary Gaussian random sequences. Due to the random contraction we introduce a…

math.PR2013★ 8 cited

Limit properties of exceedances point processes of scaled stationary Gaussian sequences

Enkelejd Hashorva, Zuoxiang Peng, Zhichao Weng

We derive the limiting distributions of exceedances point processes of randomly scaled weakly dependent stationary Gaussian sequences under some mild asymptotic conditions. In the…

math.PR2013★ 5 cited

Joint Limiting Distribution of Minima and Maxima of Complete and Incomplete Samples of Stationary Sequences

Enkelejd Hashorva, Zhichao Weng

In the seminal contribution [4] the joint weak convergence of maxima and minima of weakly dependent stationary sequences is derived under some mild asymptotic conditions. In this p…

math.PR2013

Berman's inequality under random scaling

Enkelejd Hashorva, Zhichao Weng

Berman's inequality is the key for establishing asymptotic properties of maxima of Gaussian random sequences and supremum of Gaussian random fields. This contribution shows that, a…