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A Novel Non-Equidistant Grey GRM(1,1) Model Based on Reciprocal Accumulated Generating
College of Sciences, Hunan Agriculture University, Changsha, 410128, P.R.China
- 1 College of Sciences, Hunan Agriculture University, Changsha, 410128, P.R.China
Applied Mathematics·Volume 03 (2012)·Pages 910–913·Published 28 August 2012·DOI10.4236/am.2012.38135
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Abstract
Applying the reciprocal accumulated generating and the reconstruction method of GRM(1,1) model’s background value of non-equidistant sequence based on the exponential trait of grey model and the definition of integral for the problem of lower precision as well as lower adaptability in non-equidistant GM(1,1) model, the calculation formulas were deduced and a novel non-equidistant GRM(1,1) model generated by reciprocal accumulated generating was put forward. The grey GRM(1,1) model can be used in non-equidistant interval & equidistant 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.
KeywordsGRM ModelNon-Equidistant IntervalAccumulated GeneratingGrey System
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