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Limit Theorems of Integrals with Respect to Vector Random Measures in Complete Paranormed Spaces

Limit Theorems of Integrals with Respect to Vector Random Measures in Complete Paranormed Spaces

This paper studies random integral of the form<img width="48" height="29" src="http://article.sciencepublishinggroup.com//journal/615/6150996/image001.png"/>, where <i>f</i> is a function taking value in a paranormed vector space <i>X</i>, and <i>M</i> is an independent scattered vector random measure. Random integrals of this type are a natural generalization of random series with paranormed space valued coefficients. …