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tfarima (version 0.4.1)

tfarima-package: Transfer Function and ARIMA Models

Description

The tfarima package provides classes and methods to build customized transfer function and ARIMA models with multiple operators and parameter restrictions. It includes functions for model identification, estimation using exact or conditional maximum likelihood, diagnostic checking, automatic outlier detection, calendar effects, forecasting, and seasonal adjustment.

Arguments

Author

Jose Luis Gallego jose.gallego@unican.es

Details

The current version extends the functionality by incorporating the estimation of unobserved components in ARIMA models through the UCARIMA representation and structural time series models.

References

Bell, W. R. and Hillmer, S. C. (1983). Modeling Time Series with Calendar Variation. Journal of the American Statistical Association, 78(383), 526–534.

Box, G. E. P., Jenkins, G. M., Reinsel, G. C., and Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control. John Wiley & Sons, Hoboken.

Box, G. E. P., Pierce, D. A., and Newbold, D. A. (1987). Estimating Trend and Growth Rates in Seasonal Time Series. Journal of the American Statistical Association, 82(397), 276–282.

Box, G. E. P. and Tiao, G. C. (1975). Intervention Analysis with Applications to Economic and Environmental Problems. Journal of the American Statistical Association, 70(349), 70–79.

Chen, C. and Liu, L. (1993). Joint Estimation of Model Parameters and Outlier Effects in Time Series. Journal of the American Statistical Association, 88(421), 284–297.

Thompson, H. E. and Tiao, G. C. (1971). Analysis of Telephone Data: A Case Study of Forecasting Seasonal Time Series. Bell Journal of Economics, 2(2), 515–541.