Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
975295 | Physica A: Statistical Mechanics and its Applications | 2008 | 11 Pages |
Abstract
We consider five fractional generalizations of the Markovian αα-stable Ornstein–Uhlenbeck process and explore the dependence structure of these stochastic models. Since the variance of αα-stable distributed random variables is infinite, we describe the dependence structure of the introduced processes in the language of the function called codifference. We present exact formulas for the asymptotic behavior of codifference and answer the question of long-range dependence property (Joseph effect) for the discussed fractional αα-stable models. We show that the fractional Ornstein–Uhlenbeck processes can display both Noah and Joseph effect.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Marcin Magdziarz,