$Weak convergence to isotropic complex S α S $S\alpha S$ random measure$

Weak convergence to isotropic complex S α S $S\alpha S$ random measure

Abstract In this paper, we prove that an isotropic complex symmetric α-stable random measure ( 0 < α < 2 $0<\alpha<2$ ) can be approximated by a complex process constructed by integrals based on the Poisson process with random intensity.

Bibliographic Details
Main Authors:	Jun Wang, Yunmeng Li, Liheng Sang
Format:	Article
Language:	English
Published:	SpringerOpen 2017-09-01
Series:	Journal of Inequalities and Applications
Subjects:	weak convergence isotropic complex S α S $S\alpha S$ random measure Poisson processes
Online Access:	http://link.springer.com/article/10.1186/s13660-017-1505-x

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spelling	doaj-2636f595574244ab8a9b47adcad829b22020-11-24T21:00:48ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-09-012017111110.1186/s13660-017-1505-xWeak convergence to isotropic complex S α S $S\alpha S$ random measureJun Wang0Yunmeng Li1Liheng Sang2School of Mathematics and Finance, Chuzhou UniversityDepartment of Mathematics, Anhui Normal UniversitySchool of Mathematics and Finance, Chuzhou UniversityAbstract In this paper, we prove that an isotropic complex symmetric α-stable random measure ( 0 < α < 2 $0<\alpha<2$ ) can be approximated by a complex process constructed by integrals based on the Poisson process with random intensity.http://link.springer.com/article/10.1186/s13660-017-1505-xweak convergenceisotropiccomplex S α S $S\alpha S$ random measurePoisson processes
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jun Wang Yunmeng Li Liheng Sang
spellingShingle	Jun Wang Yunmeng Li Liheng Sang Weak convergence to isotropic complex S α S $S\alpha S$ random measure Journal of Inequalities and Applications weak convergence isotropic complex S α S $S\alpha S$ random measure Poisson processes
author_facet	Jun Wang Yunmeng Li Liheng Sang
author_sort	Jun Wang
title	Weak convergence to isotropic complex S α S $S\alpha S$ random measure
title_short	Weak convergence to isotropic complex S α S $S\alpha S$ random measure
title_full	Weak convergence to isotropic complex S α S $S\alpha S$ random measure
title_fullStr	Weak convergence to isotropic complex S α S $S\alpha S$ random measure
title_full_unstemmed	Weak convergence to isotropic complex S α S $S\alpha S$ random measure
title_sort	weak convergence to isotropic complex s α s $s\alpha s$ random measure
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2017-09-01
description	Abstract In this paper, we prove that an isotropic complex symmetric α-stable random measure ( 0 < α < 2 $0<\alpha<2$ ) can be approximated by a complex process constructed by integrals based on the Poisson process with random intensity.
topic	weak convergence isotropic complex S α S $S\alpha S$ random measure Poisson processes
url	http://link.springer.com/article/10.1186/s13660-017-1505-x
work_keys_str_mv	AT junwang weakconvergencetoisotropiccomplexsassalphasrandommeasure AT yunmengli weakconvergencetoisotropiccomplexsassalphasrandommeasure AT lihengsang weakconvergencetoisotropiccomplexsassalphasrandommeasure
_version_	1716778758748241920

Weak convergence to isotropic complex S α S $S\alpha S$ random measure

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