An exact transformation that reduces the AR(p) process into white noise is well known in statistics, see Fuller (1976). However, practitioners still use and econometric textbooks still recommend the Cochrane-Orcutt procedure for p>2, see Greene (1990). This paper derives an alternative exact transformation for the AR(p) process which is computationally simple. Based on this transformation, a GLS estimator is proposed, requiring only least squares regressions and recursive computations. This is illustrated for the AR(3) case.
- Autocorrelation Transformation
- Autoregressive Process
- Serial Correlation
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty