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非等间隔灰色模型及应用
引用本文:孙虎元,魏绪钧.非等间隔灰色模型及应用[J].应用基础与工程科学学报,1996(4).
作者姓名:孙虎元  魏绪钧
作者单位:东北大学有色金属系
摘    要:本文提出了非等间隔灰色过程的概念,实现了对灰色模型GM在时序要求上的拓展,探讨了非等间隔灰色模型的建模方法和模型方程,为描述时间序列间隔不等的灰色过程和解决工程上的问题提供了一个新的工具.非等间隔灰色过程的建模主要包括两步:(1)用最小二乘法和插值法由原始数据计算tn(i)及(i)数列,(2)由tn(i)及(i)计算模型响应式.文中给出了应用实例及误差分析.

关 键 词:非等时间间隔,灰色模型,灰色过程

Non-equal Time-interval Grey Model and its Application
SUN Huyuan, WEI Xujun.Non-equal Time-interval Grey Model and its Application[J].Journal of Basic Science and Engineering,1996(4).
Authors:SUN Huyuan  WEI Xujun
Abstract:The concept of a non-equal time-interval grey model is adduced in this paper,accomplishing a tending in time order requirement,discussing the modelingmethod and equation of the non-equal time-interval grey model,providing a toolfor describing the non-equal time-interval grey process or solving some engineeringproblems.The modeling method of non-equal time-interval grey model includesthe following two steps:(1)calculate array tn(i)and(i) from original datawith least-square method and linearization method;(2) calculate the corresponding model from array tn(i)and(i).Moreover,the application sample and theerror discussion are included in the paper.
Keywords:grey model  non-equal time-interval  grey process
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