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Original Articles

Self-exciting threshold models for time series of counts with a finite range

Pages 77-98 | Received 01 May 2015, Accepted 01 Aug 2015, Published online: 21 Dec 2015

References

  • Armstrong, J.S.; Green, K.C. Forecasting principles. http://www.forecastingprinciples.com/index.php?option=com_content&view=article&id=47&Itemid=250, 2015.
  • Barreto-Souza, W. Zero-modified geometric INAR(1) process for modelling count time series with deflation or inflation of zeros. J. Time Series Analysis 2015, 36, 839–852.
  • Billingsley, P. Statistical Inference for Markov Processes, Statistical research monographs; University of Chicago Press, 1961.
  • Böhning, D. Zero-inflated Poisson models and C.A.MAN: A tutorial collection of evidence. Biometrical J. 1998, 40, 833–843.
  • Freeland, R.K.; McCabe, B.P. Forecasting discrete valued low count time series. Int. J. Forecasting 2004, 20, 427–434.
  • Hall, D.B. Zero-inflated poisson and binomial regression with random effects: A case study. Biometrics 2000, 56, 1030–1039.
  • Klimko, L.A.; Nelson, P. I. On conditional least squares estimation for stochastic processes. Ann. Stat. 1978, 6, 629–642.
  • Möller, T.A.; Silva, M.E.; Weiß, C.H.; Scotto, M.G.; Pereira, I. Self-exciting threshold binomial autoregressive processes. AStA. In press. doi:10.1007/s10182-015-0264-6.
  • Möller, T.A.; Weiß, C.H. Threshold models for integer-valued time series with infinite or finite range. In A. Steland, E. Rafajłowicz, K. Szajowski, Eds, Stochastic Models, Statistics and Their Applications, Vol. 122 of Springer Proceedings in Mathematics & Statistics; Springer International Publishing, 2015; 327–334.
  • Monteiro, M.; Scotto, M.G.; Pereira, I. Integer-valued self-exciting threshold autoregressive processes. Comm. Stat. 2012, 41, 2717–2737.
  • Tong, H. Threshold Models in Non-linear Time Series Analysis. Lecture Notes in Statistics, No. 21; Springer-Verlag, 1983.
  • Tong, H. Non-linear Time Series. A Dynamical System Approach; Oxford Clarendon Press, 1990.
  • Tong, H. Threshold models in time series analysis—30 years on. Stat. Interface 2011, 4, 107–118.
  • Tong, H.; Lim, K.S. Threshold autoregression, limit cycles and cyclical data. J. Royal Stat. Soc. Series B 1980, 42, 245–292.
  • Wang, C.; Liu, H.; Yao, J.-F.; Davis, R.A.; Li, W.K. Self-excited threshold Poisson autoregression. J. Amer. Stat. Assoc. 2014, 109, 777–787.
  • Weiß, C.H.; Pollett, P.K. Binomial autoregressive processes with density-dependent thinning. J. Time Series Analysis 2014, 35, 115–132.

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