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

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.

Detalles Bibliográficos
Autores principales: Wang, Jun, Li, Yunmeng, Sang, Liheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5608842/
https://www.ncbi.nlm.nih.gov/pubmed/28989259
http://dx.doi.org/10.1186/s13660-017-1505-x
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author Wang, Jun
Li, Yunmeng
Sang, Liheng
author_facet Wang, Jun
Li, Yunmeng
Sang, Liheng
author_sort Wang, Jun
collection PubMed
description 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.
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spelling pubmed-56088422017-10-05 Weak convergence to isotropic complex [Formula: see text] random measure Wang, Jun Li, Yunmeng Sang, Liheng J Inequal Appl Research 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. Springer International Publishing 2017-09-21 2017 /pmc/articles/PMC5608842/ /pubmed/28989259 http://dx.doi.org/10.1186/s13660-017-1505-x Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Wang, Jun
Li, Yunmeng
Sang, Liheng
Weak convergence to isotropic complex [Formula: see text] random measure
title Weak convergence to isotropic complex [Formula: see text] random measure
title_full Weak convergence to isotropic complex [Formula: see text] random measure
title_fullStr Weak convergence to isotropic complex [Formula: see text] random measure
title_full_unstemmed Weak convergence to isotropic complex [Formula: see text] random measure
title_short Weak convergence to isotropic complex [Formula: see text] random measure
title_sort weak convergence to isotropic complex [formula: see text] random measure
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5608842/
https://www.ncbi.nlm.nih.gov/pubmed/28989259
http://dx.doi.org/10.1186/s13660-017-1505-x
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AT liyunmeng weakconvergencetoisotropiccomplexformulaseetextrandommeasure
AT sangliheng weakconvergencetoisotropiccomplexformulaseetextrandommeasure

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