Abstract: Grey incidence model determines the closeness degree from the closeness and similarity of statistical sequence's geometrical form.Traditional grey incidence model calculates statistical sequence's correlation degree from the perspectives of its acreage,slope,changing velocity,etc.These incidence models have dual influences exerted by horizontal and vertical coordinates.Subsequently,inference of other factoys occurs when we analyze the relationship between statistical sequence's individual factors.To overcome this limitation,the author puts forward the periodic correlation model and draws the conclusion that the model is in reference to the fluctuation period of the wave,but is independent of its swing,and that it can show the positive-negative relevance.This model is then applied to carry out a research into the periodical relationship between GDP and residential consumption,which comes out to be an effective one.

Key words: grey, periodic, relationship model