The Non-Equidistant New Information GRM(1,1) and its Application

Abstract

For the problem of lower precision as well as lower adaptability in non-equidistant GM(1,1) model, applying the new information principle, modeling method of Grey system and accumulated generating operation of reciprocal number, a non-equidistant new information GRM(1,1) model generated by accumulated generating operation of reciprocal number was put forward which was taken the nth component as the initialization. Based on index characteristic of grey model and the definition of integral, the background value in non-equidistant GRM(1,1) was researched and the discrete function with non-homogeneous exponential law was used to fit the accumulated sequence and optimum formula was given. The formula of background value of new information GRM(1,1) model can be used in non-equal interval & equal interval time series and has the characteristic of high precision as well as high adaptability. Example validates the practicability and reliability of the proposed model.