A note on the consistency of a robust estimator for threshold autoregressive processes
Li-Xin Zhang,
Wai-Sum Chan,
Siu-Hung Cheung and
King-Chi Hung
Statistics & Probability Letters, 2009, vol. 79, issue 6, 807-813
Abstract:
The method of conditional least squares is commonly used for estimating threshold autoregressive parameters, and its consistency was derived by Chan [Chan, K.S., 1993. Consistency and limiting distribution of the least squares estimator of a threshold autoregressive model. Annals of Statistics 21, 520-533]. In this note we consider a general class of robust estimators for threshold autoregressive models, and under some regularity conditions and a proper choice of the weight function, the consistency is demonstrated.
Date: 2009
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