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  • 标题:On an Absolute Autoregressive Model and Skew Symmetric Distributions
  • 本地全文:下载
  • 作者:Dong Li ; Howell Tong
  • 期刊名称:Statistica
  • 印刷版ISSN:1973-2201
  • 出版年度:2020
  • 卷号:80
  • 期号:2
  • 页码:177-198
  • DOI:10.6092/issn.1973-2201/10420
  • 语种:English
  • 出版社:Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
  • 摘要: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.
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