NO.PZ2018101001000055
问题如下:
Which of the following statements about covariance-stationary is most likely correct?
选项:
A.Stationary in the past can guarantee stationary in the future.
B.One of its condition is the expected value of the time series is constant and finite.
C.Not all covariance-stationary time series have a finite mean-reverting level.
解释:
B is correct.
考点: Covariance-stationary series and mean reversion.
解析: 协方差平稳的三个条件是,这组时间序列数据的均值, 方差 、协方差是存在且稳定不变的,所以B选项正确。A选项错误,因为过去的平稳并不能保证未来的平稳。C选项错误,因为所有的协方差平稳时间序列都会有一个均值复归水平。
如果一个序列是协方差平稳的话,前一段平稳是否可以预测后一段也是平稳的呢?