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Model Checking for Time-Series Count Data

  • Lee, Sung-Im (Department of Information Statistics, Dankook University)
  • 발행 : 2005.08.01

초록

This paper considers a specification test of conditional Poisson regression model for time series count data. Although conditional models for count data have received attention and proposed in several ways, few studies focused on checking its adequacy. Motivated by the test of martingale difference assumption, a specification test via Ljung-Box statistic is proposed in the conditional model of the time series count data. In order to illustrate the performance of Ljung- Box test, simulation results will be provided.

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참고문헌

  1. Kim, E.H., Ha, J.C., Jeon, Y.S., and Lee, S.Y.(2004). Ljung-Box test in unit root AR-ARCH model. The Korean Communications in Statistics vol. 11. No.2. 323-327 https://doi.org/10.5351/CKSS.2004.11.2.323
  2. Choi, Y.H., Lee, S., and Lee, S.Y.(2003). Generalized liner model with time series data, The Korean Journal of Applied Satistics, vol. 16, 365-376 https://doi.org/10.5351/KJAS.2003.16.2.365
  3. Anderson, T.W. (1993), Goodness of fit tests for spectral distributions, Annals of Statistics, vol. 21, 830-847 https://doi.org/10.1214/aos/1176349153
  4. Brumback, B.A., Ryan, L.M., Schwartz, J.D., Neas, L.M., Stark, P.C, and Burge, H.A. (2000). Transitional regression models, with application to environmental time series. Journal of American Statistical Association, vol. 95, 16-27 https://doi.org/10.2307/2669519
  5. Durlauf, S. N. (1991), Spectral based testing of the martingale hypothesis, Journal of Econometrics, vol. 50, 355-376 https://doi.org/10.1016/0304-4076(91)90025-9
  6. Fahrmeir, L., and Tutz, G.(2001). Multivariate statistical modelling based on generalized linear models, New-York: Springer-Verlag
  7. Fokianos, K. (2000). Truncated poisson regression for time series of counts. Scandinavian Journal of Statistics. vol. 28. 645-659 https://doi.org/10.1111/1467-9469.00260
  8. Hong, Y. (1996). Consistent testing for serial correlation of unknown form. Econometrica, vol. 64, 837-864 https://doi.org/10.2307/2171847
  9. Ljung, G.M. and Box, G.E.P.(1978). On a measure of lack of fit in time series models. Biometrika, vol. 65, 297-303 https://doi.org/10.1093/biomet/65.2.297
  10. Pena, D. and Rodriguez, Julio. (2002). A powerful portmanteau test of lack of fit for time series. Journal of American Statistical Association, Vol, 97, 601-610 https://doi.org/10.1198/016214502760047122
  11. Wong, W. H. (1986). Theory of partial likelihood. Annals of Statistics, vol. 14, 88-123 https://doi.org/10.1214/aos/1176349844
  12. Zeger, S. L. and Qaquish, B. (1988). Markov regression models for time series: A Quasi-Likelihood Approach. Biometrics, Vol. 44, 1019-1031 https://doi.org/10.2307/2531732