References
- Alzaid, A.A. and Al-Osh, M. (1990). An integer-valued pth-order autoregressive structure (INAR(p))process. Journal of Applied Probability, Vol. 27, 314-324
- Alonso, A.M., Pena, D. and Romo, J (2002). Forecasting time series with sieve bootstrap. Journal of Statistical Planning and Inference, Vol. 100, 1-11 https://doi.org/10.1016/S0378-3758(01)00092-1
- Al-Osh, M.A. and Alzaid, A.A. (1987). First-order integer-valued autoregressive (INAR(l)) process. Journal of Time Series Analysis, Vol. 8, 261-275
- Cheng, Q.S. (1999). On time reversibility of linear processes. Biometrika, Vol. 86, 483-486
- Cox, D.R. (1981). Statistical analysis of time series: Some recent developments. Scandinavian Journal of Statistics, Vol. 8, 93-115
- Du, J.-Guan and Li, Y. (1991), The integer-valued autoregressive (INAR(p)) model. Journal of Time Series Analysis, Vol. 12, 129-142 https://doi.org/10.1111/j.1467-9892.1991.tb00073.x
- Findley, D.F. (1986). The uniqueness of moving average representations with independent and identically distributed random variables for non -Gaussian stationary time series. Biometrika, Vol. 73, 520-521 https://doi.org/10.1093/biomet/73.2.520
- Freeland, R.K. and McCabe, B.P.M. (2004). Forecasting discrete valued low count time series. International Journal of Forecasting, Vol. 20, 427-434 https://doi.org/10.1016/S0169-2070(03)00014-1
- Garcia-Jurado, I., Gonzalez-Manteiga W., Prada-Sanchez, J.M., Febrero-Bande, N., Febrero-Bande, M. and Cao, R. (1995). Predicting using Box-Jenjins, nonparametric bootstrap techniques. Technometrics, Vol. 37, 303-310 https://doi.org/10.2307/1269914
- Grigoletto, M. (1998). Bootstrap prediction intervals for autoregression: some alternative. International Journal of Forecasting, Vol. 14, 447-456 https://doi.org/10.1016/S0169-2070(98)00004-1
- Grunwald, G.K., Hyndman, R.J., Tedeso, L. and Tweedie, R. L. (2000). Non-Gaussian conditional linear AR(1) models. Australian & New Zealand Journal of Statistics, Vol. 42, 479-495 https://doi.org/10.1111/1467-842X.00143
- Hallin, M., Lefevre, C. and Puri, M.L. (1988). On time-reversibility and the uniqueness of moving average representation for non-Gaussian stationary time series. Biometrika, Vol. 75, 170-171 https://doi.org/10.1093/biomet/75.1.170
- Jung, R.C. and Tremayne, A.R. (2006). Coherent forecasting m integer time series models. International Journal of Forecasting, To appear
- Kashiwagi, N., and Yanagimoto, T. (1992). Smoothing serial count data through a state-space model. Biometrics, Vol. 48, 1187-1194 https://doi.org/10.2307/2532709
- Kim, H.Y. and Park, Y.S. (2006). Prediction mean sqaured error of the Poisson INAR(1) process with estimated parameters. Journal of the Korean Statistical Society. Vol. 35, 37-47
- Latour, A. (1998). Existence and stochastic structure of non-negative inter-valued autoregressiive processes. Journal of Time Series Analysis, Vol. 19, 439-455
- McCabe, B.P.M. and Martin, G.M. (2005). Bayesian predictions of low count time series. International Journal of Forecasting, Vol. 21, 315-330 https://doi.org/10.1016/j.ijforecast.2004.11.001
- McKenzie, E. (1985). Some simple models for discrete variate time series. Water Resources Bulletin, Vol. 21, 645-650 https://doi.org/10.1111/j.1752-1688.1985.tb05379.x
- McKenzie, E. (1988). Some ARMA models for dependent sequence of Poisson counts. Advances in Applied Probability, Vol. 20, 822-835 https://doi.org/10.2307/1427362
- Pacual, L., Romo, J. and Ruiz, E. (2004). Bootstrap predictive inference for ARIMA processes. Journal of Time Series Analysis, Vol. 25, 449-465
- Park, Y.S., Choi, J.W. and Kim, H.Y. (2006). Forecasting Cause-Age specific mortality using two random processes. Journal of American Statistical Association, Vol. 101, 472-483
- Park, Y.S. and Kim, H.Y. (2000). On the autocovariance function of INAR(l) process with a negative binomial or a poisson marginal. Journal of the Korean Statistical Society, Vol. 29, 269-284
- Silva, M.E. and Oliveira, V.L. (2005). Difference equations for the higher order moments and cumulants of the INAR(p) model. Journal of Time Series Analysis, Vol. 26, 17-36 https://doi.org/10.1111/j.1467-9892.2005.00388.x
- Stine, R.A. (1987). Estimating properties of autoregressive forecasts. Journal of American Statistical Association. Vol. 82, 1072-1078 https://doi.org/10.2307/2289383
- Sueutel, F.W. and Van Ham, K. (1979). Discrete analogues of self-decomposability and stability. The Annals of Probability, Vol. 7, 893-899 https://doi.org/10.1214/aop/1176994950
- Thombs, L.A. and Schucany, W.R. (1990). Bootstrap prediction intervals for autoregression. Journal of the American Statistical Association, Vol. 85, 486-492 https://doi.org/10.2307/2289788
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