Concepts of broad class ratio dispersion and broad smooth degree for nonhomogeneous exponential sequence and their application

Because the optimized grey models fits the approximate nonhomogeneous index sequences, this paper puts forward the concepts of the broad class ratio approach degree and the broad smooth degree which can judge the approach degree of the raw data and the nonhomogeneous index sequences, and deduces some remarks, then introduces the prior check of modeling the nonhomogeneous exponential sequences by these concepts. Finally, an example verifies the validity and the rationality of this method.