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A. V. Bulinskii 《Journal of Mathematical Sciences》1992,61(1):1840-1845
One investigates the asymptotic normality of integrals over unboundedly increasing sets of a random field, describing a shot noise in
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,d1. One shows how important here are roles played by the growth character of the considered sets and by the dimension d.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 177, pp. 28–36, 1989. 相似文献
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We study a class of $E_0$ -semigroups of endomorphisms of a von Neumann factor $\mathcal{M}$ possessing the following property: an $e_0$ -semigroup of endomorphisms of $\mathcal{B}\left( \mathcal{H} \right)$ , where $\mathcal{H}$ is the standard representation space for $\mathcal{M}$ , and a product system of Hilbert spaces can be associated with each of these $E_0$ -semigroups. 相似文献
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A. V. Bulinskii 《Functional Analysis and Its Applications》1995,29(2):123-126
Moscow Institute of Physics and Technology (MFTI). Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 29, No. 2, pp. 64–67, April–June, 1995. 相似文献
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The classical central limit theorem due to Newman for real-valued strictly stationary associated random fields is generalized to strictly stationary quasi-associated vector-valued random fields comprising, in particular, positively or negatively associated fields with finite second moments. We also establish a version of the CLT with random matrix normalization which allows us to construct approximate confidence intervals for the unknown mean vector. 相似文献
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