Set Pair Analysis Based on Phase Space Reconstruction Model and Its Application in Forecasting Extreme Temperature
Joint Authors
Zhang, Yin
Zhang, Ling
Ma, Wan-ying
Qiao, Ling-xia
Yang, Xiaohua
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In order to improve the precision of forecasting a time series, set pair analysis based on phase space reconstruction (SPA-PSR) model is established.
In the new model, by using chaos analysis, we reconstruct the phase space with delay time and embedding dimension.
Based on it, we rebuilt history sets and current sets in the SPA-PSR model.
Two cases of forecasting extreme temperature in Mount Wutai and Datong are taken to examine the performance of SPA-PSR model.
The results indicate that the mean relative error (MRE) of SPA-PSR model has decreased by 65.97%, 59.32%, and 7.79% in the case of Mount Wutai and 29.11%, 32.82%, and 9.03% in the case of Datong, respectively, compared with autoregression (AR) model, rank set pair analysis (R-SPA) model, and Back-Propagation (BP) neural network model.
It gives a theoretical support for set pair analysis and improves precision of numerical forecasting.
American Psychological Association (APA)
Zhang, Yin& Yang, Xiaohua& Zhang, Ling& Ma, Wan-ying& Qiao, Ling-xia. 2013. Set Pair Analysis Based on Phase Space Reconstruction Model and Its Application in Forecasting Extreme Temperature. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1031944
Modern Language Association (MLA)
Zhang, Yin…[et al.]. Set Pair Analysis Based on Phase Space Reconstruction Model and Its Application in Forecasting Extreme Temperature. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1031944
American Medical Association (AMA)
Zhang, Yin& Yang, Xiaohua& Zhang, Ling& Ma, Wan-ying& Qiao, Ling-xia. Set Pair Analysis Based on Phase Space Reconstruction Model and Its Application in Forecasting Extreme Temperature. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1031944
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031944