The limiting behavior of least absolute deviation estimators for threshold autoregressive models
The asymptotic behavior of the least squares (LS) estimators of the parameters in threshold autoregressive models has been completely studied in the literature. It is well known that in some cases the least absolute deviation (LAD) estimators are superior to the LS-estimators. This paper is devoted to studying the strong consistency and the asymptotic normality of the LAD-estimators in two cases where the threshold is known and/or unknown.
Year of publication: |
2004
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Authors: | Wang, Lihong ; Wang, Jinde |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 89.2004, 2, p. 243-260
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Publisher: |
Elsevier |
Keywords: | Asymptotic normality Least absolute deviation estimation Nonlinear time series Strong consistency Threshold autoregressive models |
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