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Abstract: The multivariate central limit theorems CLT for the volumes of excursionsets of stationary quasi-associated random fields on $\mathbb{R}^d$ are proved.Special attention is paid to Gaussian and shot noise fields. Formulae for thecovariance matrix of the limiting distribution are provided. A statisticalversion of the CLT is considered as well. Some numerical results are alsodiscussed.



Author: Alexander Bulinski, Evgeny Spodarev, Florian Timmermann

Source: https://arxiv.org/



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