Munich Personal RePEc Archive

Theory and Applications of TAR Model with Two Threshold Variables

Chen, Haiqiang and Chong, Terence Tai Leung and Bai, Jushan (2012): Theory and Applications of TAR Model with Two Threshold Variables. Published in: Econometric Reviews , Vol. 2, No. 31 (2012): pp. 142-170.

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Abstract

A growing body of threshold models has been developed over the past two decades to capture the nonlinear movement of financial time series. Most of these models, however, contain a single threshold variable only. In many empirical applications, models with two or more threshold variables are needed. This paper develops a new threshold autoregressive model which contains two threshold variables. A likelihood ratio test is proposed to determine the number of regimes in the model. The finite-sample performance of the estimators is evaluated and an empirical application is provided.

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