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J Inequal Appl. 2017;2017(1):233. doi: 10.1186/s13660-017-1505-x. Epub 2017 Sep 21.

Weak convergence to isotropic complex [Formula: see text] random measure.

Author information

1
School of Mathematics and Finance, Chuzhou University, Chuzhou, 239000 People's Republic of China.
2
Department of Mathematics, Anhui Normal University, Wuhu, 241000 People's Republic of China.

Abstract

In this paper, we prove that an isotropic complex symmetric α-stable random measure ([Formula: see text]) can be approximated by a complex process constructed by integrals based on the Poisson process with random intensity.

KEYWORDS:

Poisson processes; complex [Formula: see text] random measure; isotropic; weak convergence

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