참고문헌
- Boswijk, H. P., Franses, P. H., and Haldrup, N. (1997). Multiple unit roots in periodic autoregression, Journal of Econometrics, 80, 167-193. https://doi.org/10.1016/S0304-4076(97)81127-X
- Box, G. E. P. and Jenkins, G. (1976). Time Series Analysis: Forecasting and Control, Francisco Holden-Day.
- Franses, P. H. and McAleer, M. (1998). Cointegration analysis of seasonal time series, Journal of Economic Survey, 12, 651-678. https://doi.org/10.1111/1467-6419.00070
- Franses, P. H. and Paap, R. (2004). Periodic Time Series Models, Oxford University Press.
- Holt, C. C. (1957). Forecasting trends and seasonals by exponentially weighted averages, ONR memorandum no. 52. Carnegie Institute of Technology, Pittsburgh, USA published in International Journal of Forecasting 2004, 20, 5-10.
- Lee, S. D., Kim, J. G., and Kim, S. W. (2012). Estimation of layered periodic autoregressive moving average models, Communications for Statistical Applications and Methods, 19, 507-516. https://doi.org/10.5351/CKSS.2012.19.3.507
- Lund, R., Shao, Q., and Basawa, I. (2006). Parsimonious periodic time series modeling, Australian & New Zealand Journal of Statistics, 48, 33-47. https://doi.org/10.1111/j.1467-842X.2006.00423.x
- Lutkepohl, H. (2005). New Introduction to Multiple Time Series Analysis, Springer Science & Business Media.
- Matas-Mir, A. and Osborn, D. R. (2004). Does seasonality change over the business cycle? an investigation using monthly industrial product series, European Economic Review, 48, 1309-1332. https://doi.org/10.1016/j.euroecorev.2003.10.003
- McLeod, A. I. (1993). Parsimony, model adequacy and periodic correlation in time series forecasting, International Statistical Review/Revue Internationale de Statistique, 387-393.
- Osborn, D. R. (1991). The implications of periodically varying coefficients for seasonal time-series processes, Journal of Econometrics, 48, 373-384. https://doi.org/10.1016/0304-4076(91)90069-P
- Osborn, D. R. and Smith, J. P. (1989). The performance of periodic autoregressive models in forecasting seasonal U.K. consumption, Journal of Business & Economic Statistics, 7, 117-127.
- Pagano, M. (1978). On periodic and multiple autoregressions, The Annals of Statistics, 1310-1317.
- Troutman, B. M. (1979). Some results in periodic autoregression, Biometrika, 66, 219-228. https://doi.org/10.1093/biomet/66.2.219
- Ursu, E. and Turkman, K. F. (2012). Periodic autoregressive model identification using genetic algorithms, Journal of Time Series Analysis, 33, 398-405. https://doi.org/10.1111/j.1467-9892.2011.00772.x
- Winters, P. R. (1960). Forecasting sales by exponentially weighted moving averages, Management Science, 6, 324-342. https://doi.org/10.1287/mnsc.6.3.324