Central limit theorems for the excursion set volumes of weakly dependent random fieldsстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:The multivariate central limit theorems (CLT) for the volumes of excursion sets of stationary quasi-associated random fields on ℝd are proved. Special attention is paid to Gaussian and shot noise fields. Formulae for the covariance matrix of the limiting distribution are provided. A statistical version of the CLT is considered as well. Some numerical results are also discussed.