Cargando…
Calculation and realization of new method grey residual error correction model
Aiming at the problem of prediction accuracy of stochastic volatility series, this paper proposes a method to optimize the grey model(GM(1,1)) from the perspective of residual error. In this study, a new fitting method is firstly used, which combines the wavelet function basis and the least square m...
Autores principales: | , , |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2021
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8289091/ https://www.ncbi.nlm.nih.gov/pubmed/34280218 http://dx.doi.org/10.1371/journal.pone.0254154 |
_version_ | 1783724227321397248 |
---|---|
author | Xiao, Lifang Chen, Xiangyang Wang, Hao |
author_facet | Xiao, Lifang Chen, Xiangyang Wang, Hao |
author_sort | Xiao, Lifang |
collection | PubMed |
description | Aiming at the problem of prediction accuracy of stochastic volatility series, this paper proposes a method to optimize the grey model(GM(1,1)) from the perspective of residual error. In this study, a new fitting method is firstly used, which combines the wavelet function basis and the least square method to fit the residual data of the true value and the predicted value of the grey model(GM(1,1)). The residual prediction function is constructed by using the fitting method. Then, the prediction function of the grey model(GM(1,1)) is modified by the residual prediction function. Finally, an example of the wavelet residual-corrected grey prediction model (WGM) is obtained. The test results show that the fitting accuracy of the wavelet residual-corrected grey prediction model has irreplaceable advantages. |
format | Online Article Text |
id | pubmed-8289091 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-82890912021-07-31 Calculation and realization of new method grey residual error correction model Xiao, Lifang Chen, Xiangyang Wang, Hao PLoS One Research Article Aiming at the problem of prediction accuracy of stochastic volatility series, this paper proposes a method to optimize the grey model(GM(1,1)) from the perspective of residual error. In this study, a new fitting method is firstly used, which combines the wavelet function basis and the least square method to fit the residual data of the true value and the predicted value of the grey model(GM(1,1)). The residual prediction function is constructed by using the fitting method. Then, the prediction function of the grey model(GM(1,1)) is modified by the residual prediction function. Finally, an example of the wavelet residual-corrected grey prediction model (WGM) is obtained. The test results show that the fitting accuracy of the wavelet residual-corrected grey prediction model has irreplaceable advantages. Public Library of Science 2021-07-19 /pmc/articles/PMC8289091/ /pubmed/34280218 http://dx.doi.org/10.1371/journal.pone.0254154 Text en © 2021 Xiao et al https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. |
spellingShingle | Research Article Xiao, Lifang Chen, Xiangyang Wang, Hao Calculation and realization of new method grey residual error correction model |
title | Calculation and realization of new method grey residual error correction model |
title_full | Calculation and realization of new method grey residual error correction model |
title_fullStr | Calculation and realization of new method grey residual error correction model |
title_full_unstemmed | Calculation and realization of new method grey residual error correction model |
title_short | Calculation and realization of new method grey residual error correction model |
title_sort | calculation and realization of new method grey residual error correction model |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8289091/ https://www.ncbi.nlm.nih.gov/pubmed/34280218 http://dx.doi.org/10.1371/journal.pone.0254154 |
work_keys_str_mv | AT xiaolifang calculationandrealizationofnewmethodgreyresidualerrorcorrectionmodel AT chenxiangyang calculationandrealizationofnewmethodgreyresidualerrorcorrectionmodel AT wanghao calculationandrealizationofnewmethodgreyresidualerrorcorrectionmodel |