Arid
DOI10.1007/s11053-018-9442-z
Improving Prediction Accuracy of Rainfall Time Series By Hybrid SARIMA-GARCH Modeling
Pandey, P. K.; Tripura, H.; Pandey, V.
通讯作者Pandey, V.
来源期刊NATURAL RESOURCES RESEARCH
ISSN1520-7439
EISSN1573-8981
出版年2019
卷号28期号:3页码:1125-1138
英文摘要In this paper, a hybrid of seasonal autoregressive integrated moving average (SARIMA)-generalized autoregressive conditional heteroscedasticity (GARCH) was applied to eliminate conditional variance of the SARIMA model of rainfall time series in two different climatic environments (Agartala: humid, and Jodhpur: arid). In addition, the effectiveness of data normalization techniques (differencing and transformation) to stabilize conditional variance in the SARIMA residuals is additionally examined. The residuals from SARIMA models were tested for heteroscedasticity, utilizing the McLeod-Li test, and demonstrated some autocorrelation. Then, the rainfall time series was transformed (differencing and Box-Cox) so that the effect of heteroscedasticity is eliminated. The hybrid SARIMA-GARCH model based on transformed rainfall time series resulted in good statistics performance indices at both climatic environments. The findings of the study suggest that the performance of SARIMA models can be enhanced by using appropriate transformation (Box-Cox) along with GARCH model of residuals of highly skewed rainfall time series from both climatic environments. For Agartala station of monthly rainfall time series, the best model was SARIMA (0, 1, 1) (0, 1, 1)(12)-GARCH (1, 2) with coefficient of determination (R-2)=0.72 and root-mean-square error (RMSE)=25.22, but after Box-Cox transformation of data, the best model was SARIMA (0, 1, 1) (0, 1, 1)(12)-GARCH (2, 4) with R-2=0.87 and RMSE=0.672. For the monthly rainfall series of Jodhpur station, the best model was SARIMA (0, 1, 1) (0, 1, 1)(12)-GARCH (1, 2) with R-2=0.68 and RMSE=16.75, but after Box-Cox transformation of data the best model was SARIMA (0, 1, 1) (0, 1, 1)(12)-GARCH (1, 2) with R-2=0.79 and RMSE=1.917. The performance indices indicate that hybrid (SARIMA-GARCH) models fitted to transformed time-series rainfall data performed best in the humid as well as the arid regions.
英文关键词Nonlinear time series Heteroscedasticity SARIMA model GARCH model Box-Cox transformation Ljung-Box test McLeod-Li test
类型Article
语种英语
国家India
收录类别SCI-E
WOS记录号WOS:000467136200028
WOS关键词FIT
WOS类目Geosciences, Multidisciplinary
WOS研究方向Geology
资源类型期刊论文
条目标识符http://119.78.100.177/qdio/handle/2XILL650/217729
作者单位North Eastern Reg Inst Sci & Technol, Dept Agr Engn, Itanagar 791109, Arunachal Prade, India
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Pandey, P. K.,Tripura, H.,Pandey, V.. Improving Prediction Accuracy of Rainfall Time Series By Hybrid SARIMA-GARCH Modeling[J],2019,28(3):1125-1138.
APA Pandey, P. K.,Tripura, H.,&Pandey, V..(2019).Improving Prediction Accuracy of Rainfall Time Series By Hybrid SARIMA-GARCH Modeling.NATURAL RESOURCES RESEARCH,28(3),1125-1138.
MLA Pandey, P. K.,et al."Improving Prediction Accuracy of Rainfall Time Series By Hybrid SARIMA-GARCH Modeling".NATURAL RESOURCES RESEARCH 28.3(2019):1125-1138.
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