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References (11)
-
D. Dickey (1981)
Histograms, Percentiles, and MomentsThe American Statistician, 35
-
M. Rao (1978)
Asymptotic Distribution of an Estimator of the Boundary Parameter of an Unstable ProcessAnnals of Statistics, 6
-
D. Hasza, W. Fuller (1979)
Estimation for Autoregressive Processes with Unit RootsAnnals of Statistics, 7
-
G. Evans, N. Savin (1981)
Testing for Unit Roots: 1Econometrica, 49
-
John White (1958)
THE LIMITING DISTRIBUTION OF THE SERIAL CORRELATION COEFFICIENT IN THE EXPLOSIVE CASEAnnals of Mathematical Statistics, 29
-
J. Ahtola, G. Tiao (1987)
A NOTE ON ASYMPTOTIC INFERENCE IN AUTOREGRESSIVE MODELS WITH ROOTS ON THE UNIT CIRCLEJournal of Time Series Analysis, 8
-
G. Tiao, R. Tsay (1983)
Consistency Properties of Least Squares Estimates of Autoregressive Parameters in ARMA ModelsAnnals of Statistics, 11
-
T. Anderson (1959)
On Asymptotic Distributions of Estimates of Parameters of Stochastic Difference EquationsAnnals of Mathematical Statistics, 30
-
D. Dickey, W. Fuller (1979)
Distribution of the Estimators for Autoregressive Time Series with a Unit RootJournal of the American Statistical Association, 74
-
G. Evans, N. Savin (1981)
The Calculation of the Limiting Distribution of the Least Squares Estimator of the Parameter in a Random Walk ModelAnnals of Statistics, 9
-
H. Mann, A. Wald (1943)
On the Statistical Treatment of Linear Stochastic Difference EquationsEconometrica, 11
- Publisher
- Wiley
- Copyright
- Copyright © 1987 Wiley Subscription Services, Inc., A Wiley Company
- ISSN
- 0143-9782
- eISSN
- 1467-9892
- DOI
- 10.1111/j.1467-9892.1987.tb00416.x
- Publisher site
- See Article on Publisher Site
Abstract
Abstract. Asymptotic distributions of the autoregressive parameters in the AR(2) model are derived, when the characteristic polynomial has a pair of complex roots on the unit circle. Percentage points are tabulated based on simulations from the asymptotic formulae. The usefulness of the asymptotic results in finite sample situations is investigated by a Monte Carlo study, and an illustrative example is given.
Journal
Journal of Time Series Analysis – Wiley
Published: Jan 1, 1987