Specification, Estimation, and Evaluation of Smooth Transition Autoregressive Models
- 1 March 1994
- journal article
- research article
- Published by Taylor & Francis in Journal of the American Statistical Association
- Vol. 89 (425) , 208-218
- https://doi.org/10.1080/01621459.1994.10476462
Abstract
This article considers the application of two families of nonlinear autoregressive models, the logistic (LSTAR) and exponential (ESTAR) autoregressive models. This includes the specification of the model based on simple statistical tests: linearity testing against smooth transition autoregression, determining the delay parameter and choosing between LSTAR and ESTAR models are discussed. Estimation by nonlinear least squares is considered as well as evaluating the properties of the estimated model. The proposed techniques are illustrated by examples using both simulated and real time series.Keywords
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