Mathematics – Probability
Scientific paper
2005-03-31
Mathematics
Probability
25 pages, 6 figures
Scientific paper
Fractional tempered stable motion (fTSm)} is defined and studied. FTSm has the same covariance structure as fractional Brownian motion, while having tails heavier than Gaussian but lighter than stable. Moreover, in short time it is close to fractional stable L\'evy motion, while it is approximately fractional Brownian motion in long time. A series representation of fTSm is derived and used for simulation and to study some of its sample path properties.
Houdré Christian
Kawai Ryoichi
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