Grey GM (p) model based on differential equation

Abstract

Starting from grey model GM (2), this text deduce grey model GM (p). In theory, it strictly argument the reduction sequence have the consistency from two different forms of GM (p) model. The GM (2) model can't suit for high growth date sequence though the comparison. When the development coefficient of GM (1, 1) model is 1 ≤ −a < 2, derivative reduction can improve the simulation accuracy and demonstrates this conclusion through examples.