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  • 标题:Stationarity and ergodicity of univariate generalized autoregressive score processes
  • 本地全文:下载
  • 作者:Francisco Blasques ; Siem Jan Koopman ; André Lucas
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2014
  • 卷号:8
  • 期号:1
  • 页码:1088-1112
  • DOI:10.1214/14-EJS924
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:We characterize the dynamic properties of generalized autoregressive score models by identifying the regions of the parameter space that imply stationarity and ergodicity of the corresponding nonlinear time series process. We show how these regions are affected by the choice of parameterization and scaling, which are key features for the class of generalized autoregressive score models compared to other observation driven models. All results are illustrated for the case of time-varying means, variances, or higher-order moments.
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