On an Absolute Autoregressive Model and Skew Symmetric Distributions

Autor: Dong Li, Howell Tong
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Statistica, Vol 80, Iss 2, Pp 177-198 (2020)
Druh dokumentu: article
ISSN: 0390-590X
1973-2201
DOI: 10.6092/issn.1973-2201/10420
Popis: By exploiting the connection between a popular construction of a well-known skew-normal distribution and an absolute autoregressive process, we show how the stochastic process approach can lead to other skew symmetric distributions, including a skew-Cauchy distribution and some singular distributions. In so doing, we also correct an erroneous skew-Cauchy-distribution in the literature. We discuss the estimation, for dependent data, of the key parameter relating to the skewness.
Databáze: Directory of Open Access Journals