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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.

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


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.


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

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