The Non-Equidistant Grey GRM(1,1) Model Based on Reciprocal Accumulated Generating

Rui Biao Zou; Wei Yi; Zou Xin Mou

doi:10.4028/www.scientific.net/AMM.212-213.1062

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 212-213The Non-Equidistant Grey GRM(1,1) Model Based on...

The Non-Equidistant Grey GRM(1,1) Model Based on Reciprocal Accumulated Generating

Abstract:

Applying the reciprocal accumulated generating and the constructing background value of non-equidistant sequence of GRM(1,1) model based on fitting the first accumulated generating sequence with non-homogeneous exponential law 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 non-equidistant GRM(1,1) model generated by reciprocal accumulated 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.

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Periodical:

Applied Mechanics and Materials (Volumes 212-213)

Pages:

1062-1066

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.212-213.1062

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Online since:

October 2012

Authors:

Rui Biao Zou, Wei Yi, Zou Xin Mou

Keywords:

Accumulated Generating, Background Value, Grey System, GRM Model, Non-Equidistant Interval

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