2012
DOI: 10.3844/jmssp.2012.500.505
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Seasonal Autoregressive Integrated Moving Average Model for Precipitation Time Series

Abstract: Predicting the trend of precipitation is a difficult task in meteorology and environmental sciences. Statistical approaches from time series analysis provide an alternative way for precipitation prediction. The ARIMA model incorporating seasonal characteristics, which is referred to as seasonal ARIMA model was presented. The time series data is the monthly precipitation data in Yantai, China and the period is from 1961 to 2011. The model was denoted as SARIMA (1, 0, 1) (0, 1, 1) 12 in this study. We first anal… Show more

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Cited by 41 publications
(20 citation statements)
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“…Generally, this step involved the analysis of the residuals as well as model comparisons (Chang et al, 2012). The Ljung-Box Q was used in the diagnostic test.…”
Section: Diagnostic Checkingmentioning
confidence: 99%
“…Generally, this step involved the analysis of the residuals as well as model comparisons (Chang et al, 2012). The Ljung-Box Q was used in the diagnostic test.…”
Section: Diagnostic Checkingmentioning
confidence: 99%
“…For example, Wagner (2010) compared seasonal ARIMA model and vector time series model for forecasting daily demand in cash supply chains. Chang et al (2012) forecasted monthly precipitation in Yantai, China with seasonal ARIMA model. The results of these studies show that this model performed well and gives less errors compared with other models over short time periods.…”
Section: Introductionmentioning
confidence: 99%
“…The autoregressive integrated moving average model is a well-known time series prediction method first proposed by Box and Jenkins in the early 1970s [4]. It transforms a nonstationary time series into a stationary time series, and then uses the lag value of the dependent variable and the present value and the lag value of the random error term as the independent variables to construct the regression model [5]. The grey model can make fuzzy long-term description of the law of things development through establishing the grey differential prediction model with a small amount of incomplete information [6].…”
Section: Introductionmentioning
confidence: 99%