Conventional light microscopes have been used for centuries for the study of small length
scales down to approximately 250 nm. Images from such a microscope are typically blurred …

The extremal t process was proposed in the literature for modeling spatial extremes within a
copula framework based on the extreme value limit of elliptical t distributions (Davison et …

Estimation of extreme value parameters from observations in the max-domain of attraction of
a multivariate max-stable distribution commonly uses aggregated data such as block …

Abstract Let χ n (t)=(∑ i= 1 n X i 2 (t)) 1/2, t≥ 0 χ_n(t)=(∑_i=1^nX_i^2(t))^1/2,{t≥0 be a chi-
process with n degrees of freedom where X i's are independent copies of some generic …

By considering pointwise maxima of independent stationary random processes with
dependent Cauchy marginals, we define a new process whose univariate limit distributions …

In this paper we show that the componentwise maxima of weakly dependent bivariate
stationary Gaussian triangular arrays converge in distribution after appropriate normalization …

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 value …

Let X_i,n, n∈N, 1≦i≦n, be a triangular array of independent R^d-valued Gaussian random
vectors with correlation matrices i,n. We give necessary conditions under which the row-wise …

In this paper, the joint asymptotics of normalized maxima and minima for a triangular array of
bivariate Gaussian random vectors are considered. Under the Hüsler-Reiss condition, the …

We consider the task of identifying the causal parents of a target variable among a set of
candidate variables from observational data. Our main assumption is that the candidate …