Limiting distributions of unconditional maximum likelihood unit root test statistics in seasonal time-series models
The likelihood function of a seasonal model, Y_t = ρY_t - d + e_t as implemented in computer algorithms under the assumption of stationary initial conditions is a function of ρ which is zero at the point ρ = 1. It is a smooth function for ρ in the above seasonal model with a well-defined maximum regardless of the data-generating mechanism. Gonzalez-Farias (PhD Thesis, North Carolina State University, 1992) proposed tests for unit roots based on maximizing the stationary likelihood function in nonseasonal time series. We extend it to seasonal time series. The limiting distribution of seasonal unit root test statistics based on the unconditional maximum likelihood estimators are shown. Models having a single mean, seasonal means, and a single-trend variable across the seasons are considered. Copyright 2004 Blackwell Publishing Ltd.
Year of publication: |
2004
|
---|---|
Authors: | Lee, Taiyeong ; Dickey, David A. |
Published in: |
Journal of Time Series Analysis. - Wiley Blackwell, ISSN 0143-9782. - Vol. 25.2004, 4, p. 551-561
|
Publisher: |
Wiley Blackwell |
Saved in:
freely available
Saved in favorites
Similar items by person
-
Dickey, David A., (2004)
-
A primer on cointegration with an application to money and income
Dickey, David A., (2007)
-
Nelson, Larry A., (2011)
- More ...