Exact discrete sampling of finite variation tempered stable Ornstein-Uhlenbeck processes

Reiichiro Kawai, Hiroki Masuda

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

Exact yet simple simulation algorithms are developed for a wide class of Ornstein-Uhlenbeck processes with tempered stable stationary distribution of finite variation with the help of their exact transition probability between consecutive time points. Random elements involved can be divided into independent tempered stable and compound Poisson distributions, each of which can be simulated in the exact sense through acceptance-rejection sampling, respectively, with stable and gamma proposal distributions. We discuss various alternative simulation methods within our algorithms on the basis of acceptance rate in acceptance-rejection sampling for both high-and low-frequency sampling. Numerical results illustrate their advantage relative to the existing approximative simulation method based on infinite shot noise series representation.

Original languageEnglish
Pages (from-to)279-300
Number of pages22
JournalMonte Carlo Methods and Applications
Volume17
Issue number3
DOIs
Publication statusPublished - Sep 1 2011

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All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Applied Mathematics

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