A NOTE ON ASYMPTOTIC INFERENCE IN AUTOREGRESSIVE MODELS WITH ROOTS ON THE UNIT CIRCLE
- 1 January 1987
- journal article
- Published by Wiley in Journal of Time Series Analysis
- Vol. 8 (1) , 15-19
- https://doi.org/10.1111/j.1467-9892.1987.tb00417.x
Abstract
An estimation and inference procedure is proposed for parameters of the pth order autoregressive model with roots both on the unit circle and outside the unit circle. The procedure is motivated by the fact that the parameter estimates of the nonstationary part of the model have higher order consistency properties than the parameter estimates of the stationary part. The procedure allows the use of the known asymptotic distributional results of purely nonstationary models and purely stationary models. Only ordinary least squares routines are needed.Keywords
This publication has 6 references indexed in Scilit:
- DISTRIBUTIONS OF LEAST SQUARES ESTIMATORS OF AUTOREGRESSIVE PARAMETERS FOR A PROCESS WITH COMPLEX ROOTS ON THE UNIT CIRCLEJournal of Time Series Analysis, 1987
- Testing for Unit Roots in Seasonal Time SeriesJournal of the American Statistical Association, 1984
- Testing for Unit Roots in Seasonal Time SeriesJournal of the American Statistical Association, 1984
- Consistency Properties of Least Squares Estimates of Autoregressive Parameters in ARMA ModelsThe Annals of Statistics, 1983
- Estimation for Autoregressive Processes with Unit RootsThe Annals of Statistics, 1979
- Distribution of the Estimators for Autoregressive Time Series With a Unit RootJournal of the American Statistical Association, 1979