Joint Estimation of Model Parameters and Outlier Effects in Time Series

REFERENCES

• Abraham , B. and Box , G. E. P. 1979 . “Bayesian Analysis of Some Outlier Problems in Time Series,” . Biometrika , 66 : 229 – 236 .
   Web of Science ®Google Scholar
• Andrews , D. F. , Bickel , P. J. , Hampel , F. R. , Huber , P. J. , Rogers , W. H. and Tukey , J. W. 1972 . Robust Estimates of Locations: Survey and Advances Princeton , NJ : Princeton University Press. .
   Google Scholar
• Box , G. E. P. and Andersen , S. L. 1955 . “Permutation Theory in the Derivation of Robust Criteria and the Study of Departure from Assumptions,” . Journal of the Royal Statistical Society , 17 : 1 – 34 . Ser. B
   Google Scholar
• Box , G. E. P. and Jenkins , G. M. 1970 . Time Series Analysis: Forecasting and Control San Francisco : Holden-Day. .
   Google Scholar
• Box , G. E. P. and Tiao , G. C. 1975 . “Intervention Analysis With Applications to Economic and Environmental Problems,” . Journal of American Statistical Association , Vol. 70 : 70 – 79 .
   Web of Science ®Google Scholar
• Burman , J. P. “Outlier Detection in Time Series,” . American Statistical Association Proceedings of Business and Economic Statistics Section . pp. 402 – 407 .
   Google Scholar
• Chang , I. 1982 . “Outliers in Time Series,” University of Wisconsin-Madison, Dept. of Statistics. . unpublished Ph.D. thesis
   Google Scholar
• Chang , I. , Tiao , G. C. and Chen , C. 1988 . “Estimation of Time Series Parameters in the Presence of Outliers,” . Technometrics , 30 : 193 – 204 .
   Web of Science ®Google Scholar
• Chen , C. and Tiao , G. C. 1990 . “Random Level Shift Time Series Models, ARIMA Approximation, and Level Shift Detection,” . Journal of Business and Economic Statistics , 8 : 170 – 186 .
   Web of Science ®Google Scholar
• Fox , A. J. 1972 . “Outliers in Time Series,” . Journal of the Royal Statistical Society , 34 : 350 – 363 . Ser. B
   Google Scholar
• Guttman , I. and Tiao , G. C. 1978 . “Effect of Correlation on the Estimation of a Mean in the Presence of Spurious Observations,” . The Canadian Journal of Statistics , 6 : 229 – 247 .
   Google Scholar
• Hillmer , S. C. 1984 . “Monitoring and Adjusting Forecasts in the Presence of Additive Outliers,” . Journal of Forecasting , 3 : 205 – 215 .
   Web of Science ®Google Scholar
• Hillmer , S. C. , Bell , W. R. and Tiao , G. C. 1983 . “Modeling Considerations in the Seasonal Adjustment of Economic Time Series,”. ” . In Applied Time Series Analysis of Economic Data 74 – 100 . Washington , DC : U.S. Bureau of the Census. .
   Google Scholar
• Ledolter , J. 1988 . “The Effect of Additive Outliers on the Forecasts From ARIMA Models,” . The International Journal of Forecasting , 5 : 231 – 240 .
   Web of Science ®Google Scholar
• Liu , L-M. and Chen , C. 1991 . “Recent Developments of Time Series Analysis in Environmental Impact Studies,” . Journal of Environment Science and Health , 26 : 1217 – 1252 .
   Web of Science ®Google Scholar
• Liu , L. M. , Hudak , G. , Box , G. E. P. , Müller , M. E. and Tiao , G. C. 1986 . The SCA Statistical System: Reference Manual for Forecasting and Time Series Analysis DeKalb , IL : Scientific Computing Associates. .
   Google Scholar
• Tsay , R. S. 1986 . “Time Series Model Specification in the Presence of Outliers,” . Journal of the American Statistical Association , 81 : 132 – 141 .
   Web of Science ®Google Scholar
• Tsay , R. S. 1988 . “Outliers, Level Shifts, and Variance Changes in Time Series,” . Journal of Forecasting , 7 : 1 – 20 .
   Web of Science ®Google Scholar