Knowledge Resource Center for Ecological Environment in Arid Area
DOI | 10.1007/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
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ISSN | 1520-7439 |
EISSN | 1573-8981 |
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 |
推荐引用方式 GB/T 7714 | 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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