LIMIT THEOREMS ON ONE-SIDED INCREMENTS OF A TWO-PAREMTER FRACTIONAL $L\'{E}VY$ BROWNIAN MOTION

  • Hwang, Kyo-Shin (Department of Mathematics College of Natural Science Gyeongsang National University) ;
  • Kim, Dal-Sung (Department of Mathematics College of Natural Science Gyeongsang National University) ;
  • Kang, Mi-Young (Department of Mathematics College of Natural Science Gyeongsang National University)
  • 발행 : 1998.12.25

초록

Here we establish limit theorems on one-side increments of two-parameter fractional $L\'{e}vy$ Brownian motion, via estimating upper bounds large deviation probability inequalities on the suprema of the fractional $L\'{e}vy$ Brownian motion.

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