Some Limit Theorems for Fractional Levy Brownian Motions on Rectangles in the Plane

  • Hwang, Kyo-Shin (Department of Mathematics, Gyeongsang National University) ;
  • Kang, Soon-Bok (Department of Mathematics, Gyeongsang National University) ;
  • Park, Yong-Kab (Department of Mathematics, Gyeongsang National University) ;
  • Jeon, Tae-Il (Department of Mathematics, Tae Jeon University) ;
  • Oh, Ho-Seh (Department of Vehicles and Machinery, Kyung Nam Junior College)
  • Published : 1999.03.01

Abstract

In this paper we establish some limit theorems for a two-parameter fractional Levy Brownian motion on rectangles in the Euclidean plane via estimating upper bounds of large deviation probabilities on suprema of the two-parameter fractional Levy Brownian motion.

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References

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