Characterizing nonlinearities in business cycles using smooth transition autoregressive models
假设经济周期时间序列可用平滑转换自回归模型描述，对13国及欧洲的季度对数生产指数进行检验，发现多数序列存在非线性，且非线性主要用于刻画生产对石油价格冲击等大负向冲击的反应。
During the past few years investigators have found evidence indicating that various time-series representing business cycles, such as production and unemployment, may be nonlinear. In this paper it is assumed that if the time-series is nonlinear, then it can be adequately described by a smooth transition autoregressive (STAR) model. The paper describes the application of these models to quarterly logarithmic production indices for 13 countries and 'Europe'. Tests reject linearity for most of these series, and estimated STAR models indicate that the nonlinearity is needed mainly to describe the responses of production to large negative shocks such as oil price shocks.