Discrete Tempered Stable Distributions

Autor: Michael Grabchak
Rok vydání: 2021
Předmět:
Zdroj: Methodology and Computing in Applied Probability. 24:1877-1890
ISSN: 1573-7713
1387-5841
DOI: 10.1007/s11009-021-09904-3
Popis: Discrete tempered stable distributions are a large and flexible class of models for heavy tailed and overdispersed count data. In this paper we derive various properties of these distributions and develop an exact simulation method based on rejection sampling and a compound Poisson representation. We extend this method to exact simulation of the corresponding bilateral distributions and Levy processes.
Databáze: OpenAIRE