비관측요인모형을 이용한 한국의 국내총생산 분석

Analysis of Korean GDP by unobserved components model

  • 성병찬 (중앙대학교 응용통계학과) ;
  • 이승경 (중앙대학교 통계학과)
  • 투고 : 2011.07.13
  • 심사 : 2011.08.15
  • 발행 : 2011.10.01

초록

본 논문에서는 비관측요인모형을 이용하여 한국의 국내총생산 시계열 자료를 분석한다. 이 모형이 확률적 및 결정적 요인들을 모두 포괄할 수 있다는 점을 이용하여, 보다 다양한 형태로 시계열 자료의 모형화를 시도하였으며, 지수평활법 및 박스-젠킨스의 ARIMA모형과 예측력을 비교하였다. 국내 총생산 자료에 대한 2년간의 미래 예측에서 비관측요인모형이 보다 우수함을 보인다.

Since Harvey (1989), many approaches for applying unobserved components (UC) models to both univariate and multivariate time series analysis have been developed. However, practitioners still tend to use traditional methods such as exponential smoothing or ARIMA models for modeling and predicting time series data. It is well known that the UC model combines the flexibility of ARIMA models and the easy interpretability of exponential smoothing models by using unobserved components such as trend, cycle, season, and irregular components. This study reviews the UC model and compares its relative performances with those of the other models in modeling and predicting the real gross domestic products (GDP) in Korea. We conclude that the optimal model is the UC model on basis of root mean squared error.

키워드

참고문헌

  1. 박인찬, 권오진, 김태윤 (2009). 시계열 모형을 이용한 주가지수 방향성 예측. <한국데이터정보과학회지>, 20, 991-998.
  2. 최성관 (2000). 시계열모형을 이용한 선거개입의 경제적 영향분석. <한국데이터정보과학회지>, 11, 257-267.
  3. Akaike, H. (1973). Information theory and an extension of the maximum likelihood principle. In Second International Symposium on Information Theory, edited by B. N. Petrov and F. Csaki, 267-281, Akademiai Kiado, Budapest.
  4. Diebold, F. X. and Senhadji, S. A. (1996). Deterministic vs stochastic trends in U.S. GNP, yet again, Working Paper No. 5481, National Bureau of Economic Research.
  5. Durbin, J. and Koopman, S. J. (2001). Time series analysis by state space methods, Oxford University Press, Oxford.
  6. Harvey, A. C. (1989). Forecasting, structural time series models and the Kalman filter, Cambridge University Press, Cambridge, UK.
  7. Harvey, A. C. (1997). Trends, cycles and autoregression. Econometric Journal, 107, 192-201.
  8. Harvey, A. C. (2004). Forecasting with unobserved components time series models. In Handbook of Economic Forecasting, edited by G. Elliott, C. W. J. Granger and A. Timmermann, 327-412, Elsevier, Amsterdam.
  9. Hwang, S. Y. and Yang, S. K. (2006). A refinement of point forecast using dependency structure in irregualr component of BOK-X12-ARIMA. Journal of the Korean Data & Information Science Society, 17, 141-147.
  10. Perron, P. (1989). The great crash, the oil price shock and the unit root hypothesis. Econometrica, 57, 1361-1401. https://doi.org/10.2307/1913712
  11. Perron, P. and Wada , T. (2005). Trends and cycles: A new approach and explanations of some old puzzles, Manuscript No. 252, Department of Economics, Boston University.
  12. Rao, B. B. (2010). Deterministic and stochastic trends in the time series models: A guide for the applied economist. Applied Economics, 42, 2193-2202. https://doi.org/10.1080/00036840701765494
  13. Schwarz, G. (1978). Estimating the dimension of a model. Annals of Statistics, 6, 461-464. https://doi.org/10.1214/aos/1176344136
  14. Song, P. J., Um, H. J. and Kim, J. T. (2008). Forecasting of stream qualities at Gumi industrial complex by Winters' exponential smoothing. Journal of the Korean Data & Information Science Society, 19, 1133-1140.