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ALTERNATIVE ESTIMATORS AND UNIT ROOT TESTS FOR THE AUTOREGRESSIVE PROCESS

Park, Heon Jin, Fuller, Wayne A.·1995·Journal of Time Series Analysis

Abstract

Abstract. We compare several estimators for the second‐order autoregressive process and compare the associated tests for a unit root. Monte Carlo results are reported for the ordinary least squares estimator, the simple symmetric least squares estimator and the weighted symmetric least squares estimator. The weighted symmetric least squares estimator of the autoregressive parameters generally has smaller mean square error than that of the ordinary least squares estimator, particularly when one root is close to one in absolute value. For the second‐order model with known zero intercept, the one‐sided ordinary least squares test for a unit root is more powerful than the symmetric tests. For the model with an estimated intercept, the one‐sided weighted symmetric least squares test is the most powerful test.

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Metadata

Authors
Park, H. J., & Fuller, W. A.
Venue
Journal of Time Series Analysis
Publisher
Wiley
Published
1995-07
Volume
16
Issue
4
Pages
415-429
ISSN
  • 0143-9782 (ISSN-L)
  • 1467-9892
OpenAlex
W2055648209
Cited by
254
References
0
FWCI
5.15
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: ALTERNATIVE ESTIMATORS AND UNIT ROOT TESTS FOR THE AUTOREGRESSIVE PROCESS. https://app.cochat.ai/papers/10.1111/j.1467-9892.1995.tb00243.x
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Park, H. J., & Fuller, W. A. (1995). ALTERNATIVE ESTIMATORS AND UNIT ROOT TESTS FOR THE AUTOREGRESSIVE PROCESS. Journal of Time Series Analysis. https://doi.org/10.1111/j.1467-9892.1995.tb00243.x

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.