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A BINAR(1) time-series model with cross-correlated COM–Poisson innovations

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  • V. Jowaheer
  • N. Mamode Khan
  • Y. Sunecher

Abstract

This article proposes a bivariate integer-valued autoregressive time-series model of order 1 (BINAR(1) with COM–Poisson marginals to analyze a pair of non stationary time series of counts. The interrelation between the series is induced by the correlated innovations, while the non stationarity is captured through a common set of time-dependent covariates that influence the count responses. The regression and dependence effects are estimated using generalized quasi-likelihood (GQL) approach. Simulation experiments are performed to assess the performance of the estimation algorithms. The proposed BINAR(1) process is applied to analyze a real-life series of day and night accidents in Mauritius.

Suggested Citation

  • V. Jowaheer & N. Mamode Khan & Y. Sunecher, 2018. "A BINAR(1) time-series model with cross-correlated COM–Poisson innovations," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(5), pages 1133-1154, March.
  • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:5:p:1133-1154
    DOI: 10.1080/03610926.2017.1316400
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