Efficient simulation of p-tempered α-stable OU processes

  title={Efficient simulation of p-tempered $\alpha$-stable OU processes},
  author={Michael Grabchak and Piergiacomo Sabino},
  journal={Stat. Comput.},
We develop efficient methods for simulating processes of Ornstein-Uhlenbeck type related to the class of $p$-tempered $\alpha$-stable ($\ts$) distributions. Our results hold for both the univariate and multivariate cases and we consider both the case where the $\ts$ distribution is the stationary law and where it is the distribution of the background driving L\'evy process (BDLP). In the latter case, we also derive an explicit representation for the transition law as this was previous known… 

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