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Data Analysis

Bayesian GARMA models for count data

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Pages 192-205 | Received 05 Jan 2016, Accepted 12 May 2016, Published online: 15 Jun 2016

References

  • Benjamin, M., R. Rigby, and D. Stasinopoulos. 2003. “Generalized Autoregressive Moving Average Models.” Journal of the American Statistical Association 98:214–223.
  • Biswas, A. and P. X.-K. Song. 2009. “Discrete-Valued ARMA Processes.” Statistics and Probability Letters 79(17):1884–1889.
  • Carlin, B. P. and T. A. Louis. 2001. Bayes and Empirical Bayes Methods for Data Analysis. Boca Raton: Chapman and Hall/CRC.
  • Chan, K. and J. Ledolter. 1995. “Monte Carlo EM Estimation for Time Series Models Involving Counts.” Journal of the American Statistical Association 90:242–251.
  • Chen, M. and Q. Shao. 1998. “Monte Carlo Estimation of Bayesian Credible and HPD Intervals.” Journal of Computational and Graphical Statistics 8:69–92.
  • Conover, W. J. 1999. Practical Nonparametric Statistics, 3rd ed. Wiley series in Probability and Statistics. New York: Wiley.
  • Davis, R. A., W. T. Dunsmuir, and S. B. Streett. 2003. “Observation-Driven Models for Poisson Counts.” Biometrika 90(4):777–790.
  • Davis, R. A., W. T. M. Dunsmuir, and Y. Wang. 1999. “Modelling Time Series of Counts Data.” In Asymptotic, Nonparametrics, and Time Series, edited by S. Ghosh, 63–114. New York, NY: Macel-Dekker.
  • Dunn, P. K. and G. K. Smyth. 1996. “Randomized Quantile Residuals.” Journal of Computational and Graphical Statistics 5:236–244.
  • Gelfand, A. E., D. K. Dey, and H. Chang. 1992. “Model Determination Using Predictive Distributions With Implementation via Sampling-Based Methods.” Bayesian Statistics 4:147–167.
  • Geweke, J. 1992. “Evaluating the Accuracy of Sampling-Based Approaches to the Calculation of Posterior Moments.” In Bayesian Statistics 4:169–193.
  • Hyndman, R. J. 2006. “Another Look at Measures of Forecast Accuracy.” International Journal of Forecasting 22(4):679–688.
  • Jung, R. C., M. Kukuk, and R. Liesenfeld. 2006. “Time Series of Count Data: Modeling, Estimation and Diagnostics.” Computational Statistics & Data Analysis 51:2350–2364.
  • Liesenfeld, R., I. Nolte, and W. Pohlmeier. 2006. “Modelling Financial Transaction Price Moviments: A Dynamic Integer Count Data Model.” Empirical Economics 30:795–825.
  • McCullagh, P. and J. A. Nelder. 1989. Generalized Linear Models, 2nd ed. London: Chapman and Hall.
  • R Development Core Team. 2010. R: A Language and Environment for Statistical Computing. Vienna, Austria: R Foundation for Statistical Computing.
  • Rydberg, T. and N. Shephard. 2003. “Dynamics of Trade-by-Trade Price Movements: Decomposition and Models.” Journal of Financial Economics 1:2–25.
  • Spiegelhalter, D. J., N. G. Best, B. P. Carlin, and A. Van Der Linde. 2002. “Bayesian Measures of Model Complexity and Fit.” Journal of the Royal Statistical Society 64:583–639.
  • Zeger, S. L. 1988. “A Regression Model for Time Series of Counts.” Biometrika 75(4):621–629.
  • Zheng, T., H. Xiao, and R. Chen. 2015. “Generalized Arma Models With Martingale Difference Errors.” Journal of Econometrics 189:492–506.
  • Zhu, F. 2010. “A Negative Binomial Integer-Valued GARCH Model.” Journal of Time Series Analysis 32:54–67.
  • Zhu, F. 2012a. “Zero-Inflated Poisson and Negative Binomial Integer-Valued GARCH Models.” Journal of Statistical Planning and Inference 142:826–839.
  • Zhu, F. 2012b. “Modeling Overdispersed or Underdispersed Count Data With Generalized Poisson Integer-Valued GARCH Models.” Journal of Mathematical Analysis and Applications 389:58–71.
  • Zhu, F. 2012c. “Modeling Time Series of Counts with COM-Poisson INGARCH Models.” Mathematical and Computer Modelling 56:191–203.

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