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Approximation to Multifractional Riemann-Liouville Brownian Sheet
Authors:Hongshuai Dai
Affiliation:1. School of Statistics, Shandong University of Finance and Economics, Jinan, Chinamathdsh@gmail.com
Abstract:In this article, we first introduce multifrational Riemann-Liouville Brownian sheets. Then, we show a result of approximation in law of the multifractional Riemann-Liouville Brownian sheet. The construction of these approximations is based on a sequence of I.I.D random variables.
Keywords:Multifractional Riemann-Liouville Brownian sheet  Donsker’s theorem  Weak convergence
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