Abstract
Effective time-series analysis is based on the assumption that the series under investigation is a realisation of a "stationary" stochastic process. In practice, such a stable series can generally only be obtained after some appropriate transformation of the raw data. Two types of non-stationarity can be removed by, respectively, linear and non-linear transformation. These are "homogeneous" non-stationarity and variance instability. The first can be dealt with by backshift operator methods, whilst the second is usually carried out by the approach of Box and Cox, though an easier way is given. The loss of optimal properties, on transforming back to the original situation, can be offset by suitably biasing the results.
Similar content being viewed by others
References
Box, G.E.P. and G.M. Jenkins (1970), Time Series Analysis Forecasting and Control. Holden-Day, San Francisco.
Box, G.E.P. and D.R. Cox (1964), An Analysis of Transformations (with Discussion), J.R. Statist. Soc. B,26, 211–252.
Chatfield, C. and D.L. Prothero (1973), Box-Jenkins seasonal forecasting: problems in a case study (with Discussion), J.R. Statist. Soc. A,136, 295–336.
Box, G.E.P. and G.M. Jenkins (1973), Some comments on a paper by Chatfield and Prothero and on a review by Kendall (with a reply), J.R. Statist. Soc. A,136, 337–352.
Anderson, O.D. (1974), A short-cut in Box-Jenkins identification, Nottingham Time Series Papers, No. 15. To appear in J. Statist. Res.
Time Sharing Limited (1974), BJEN2, Box Jenkins Time Series Analysis.
Jenkins, G.M. (1975), Forecasting Seminar, Civil Service College, Sunningdale Park.
Granger, C.W.J. and P. Newbold (1970), Forecasting transformed variables, Nottingham University Forecasting Project, Note 6.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Anderson, O.D. On the transformation of raw time series data: A review. Statistische Hefte 17, 285–289 (1976). https://doi.org/10.1007/BF02923038
Issue Date:
DOI: https://doi.org/10.1007/BF02923038