The Parameter Inference for Nearly Nonstationary Time Series
近非平稳时间序列的参数推断
A first-order autoregressive (AR) time series Yt = βY t-1 + εt is said to be nearly nonstationary if β is close to 1. For a nearly nonstationary AR(1) model, it is shown that the limiting distribution of the least squares estimate of β obtained by Chan and Wei (1987) can be expressed as a functional of the Ornstein-Uhlenbeck process. This alternative expression provides a simple and efficient means to tabulate the percentiles of the limiting distribution that furnishes a…