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Time series is unstable, how to do least square regression?
Non-stationary time series can not be directly analyzed by regression, otherwise the result will be pseudo-regression. At present, there are two mainstream methods to deal with non-stationary sequences.

1. Do differential transformation on your time series. Nonstationary sequences usually become stationary after differential transformation, but each time they are done, they will lose one degree of freedom.

2. Another advanced technology is called "cointegration analysis", that is, although two time series are not stationary, there is a long-term cointegration relationship between them. This is more advanced. If it is an undergraduate course, choose the method 1. If you are a graduate, please choose the second method.