Fractional Brownian motion and martingale-differences

被引:21
作者
Nieminen, A [1 ]
机构
[1] Univ Jyvaskyla, Dept Math & Stat, FIN-40351 Jyvaskyla, Finland
关键词
fractional Brownian motion; martingale-difference; weak convergence;
D O I
10.1016/j.spl.2004.01.012
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We generalize a result of Sottinen (Finance Stochastics 5 (2001) 343) by proving an approximation theorem for the fractional Brownian motion, with H > (1)/(2), using martingale-differences. (C) 2004 Published by Elsevier B.V.
引用
收藏
页码:1 / 10
页数:10
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