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Multi-Innovation Newton Recursive Methods of an Exponential Autoregressive Time Series Model Based on the Penalty Term

  • Jingyao Niu,
  • Xiao Zhang,
  • Feng Ding,
  • Siyu Liu

摘要

This paper focuses on the parameter estimation of exponential autoregressive (ExpAR) models. Employing the Newton search and the penalty term, a Newton recursive algorithm is proposed for estimating the parameters of the ExpAR model. To achieve higher accuracy performance under white noise interference, a multi-innovation Newton recursive algorithm is proposed to make more use of the useful data. The proposed algorithm is tested by simulating experiments to see if it works well.