In this paper, we present a local Csorgo- Revesz type functional limit theorem for increments of Brownian motion and give its convergence rate. The results also extend the functional forms of Levy＇s modulus of contin...In this paper, we present a local Csorgo- Revesz type functional limit theorem for increments of Brownian motion and give its convergence rate. The results also extend the functional forms of Levy＇s modulus of continuity for Brownian motion.展开更多
基金Supported by NSFC(Grant Nos.11571262 and 11661025)Science Research Foundation of Guangxi Education Department(Grant No.YB2014117)
文摘In this paper, we present a local Csorgo- Revesz type functional limit theorem for increments of Brownian motion and give its convergence rate. The results also extend the functional forms of Levy＇s modulus of continuity for Brownian motion.
