Volume 3, Issue 4, December 2017, Page: 81-86
Limit Theorems of Integrals with Respect to Vector Random Measures in Complete Paranormed Spaces
Renying Zeng, School of Mathematical Sciences, Chongqing Normal University, Chongqing, China
Received: Sep. 7, 2017;       Accepted: Sep. 26, 2017;       Published: Nov. 15, 2017
DOI: 10.11648/j.ijsd.20170304.14      View  1680      Downloads  84
Abstract
This paper studies random integral of the form, where f is a function taking value in a paranormed vector space X, and M is an independent scattered vector random measure. Random integrals of this type are a natural generalization of random series with paranormed space valued coefficients. Some limit theorems of integrals with respect to vector random measures are proved.
Keywords
Paranormed Vector Space, Random Measure, Random Integral, Limit Theorem, Convergence in Probability
To cite this article
Renying Zeng, Limit Theorems of Integrals with Respect to Vector Random Measures in Complete Paranormed Spaces, International Journal of Statistical Distributions and Applications. Vol. 3, No. 4, 2017, pp. 81-86. doi: 10.11648/j.ijsd.20170304.14
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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