Publikationer
Skewed Laplace distributions II: divisibility properties and extensions to stochastic processes.
Avdelning/ar:
Publiceringsår: 2008
Språk: Engelska
Publikation/Tidskrift/Serie: The Mathematical Scientist
Volym: 33
Nummer: 1
Dokumenttyp: Artikel
Förlag: Applied Probability Trust
Sammanfattning
This paper is a continuation of cite{KP06}, where we discussed the origins and inter-relations of major types of skew Laplace distributions. Here, we review the properties of classical and geometric infinite divisibility as well as self-decomposability, which are crucial in extending univariate Laplace models to stochastic processes. General schemes based on these properties lead to several new non-Gaussian stationary autoregressive processes and continuous-time L'evy processes having potential use in stochastic modeling.
Disputation
Nyckelord
- Mathematics and Statistics
- Mittag-Leffler distribution
- non-Gaussian time series model
- Linnik distribution
- L'evy process
- infinite divisibility
- geometric summation
- geometric infinite divisibility
- class L
- bilateral exponential law
- autoregressive process
- Asymmetric Laplace law
- self decomposable law
- variance-gamma process
- skew double-exponential model
Övrigt
Inpress
Yes
- ISSN: 0312-3685

