标题：Modeling and Forecasting by the Vector Autoregressive Moving Average Model for Export of Coal and Oil Data (Case Study from Indonesia over the Years 2002-2017)
期刊名称：International Journal of Energy Economics and Policy
电子版ISSN：2146-4553
出版年度：2019
卷号：9
期号：4
页码：240-247
DOI：10.32479/ijeep.7605
出版社：EconJournals
摘要：The vector autoregressive moving average (VARMA) model is one of the statistical analyses frequently used in several studies of multivariate time
series data in economy, finance, and business. It is used in numerous studies because of its simplicity. Moreover, the VARMA model can explain the
dynamic behavior of the relationship among endogenous and exogenous variables or among endogenous variables. It can also explain the impact of a
variable or a set of variables by means of the impulse response function and Granger causality. Furthermore, it can be used to predict and forecast time
series data. In this study, we will discuss and develop the best model that describes the relationship between two vectors of time series data export of
Coal and data export of Oil in Indonesia over the period 2002-2017. Some models will be applied to the data: VARMA (1,1), VARMA (2,1), VARMA
(3,1), and VARMA (4,1). On the basis of the comparison of these models using information criteria AICC, HQC, AIC, and SBC, it was found that the
best model is VARMA (2,1) with restriction on some parameters: AR2_1_2 = 0, AR2_2_1 = 0, and MA1_2_1 = 0. The dynamic behavior of the data
is studied through Granger causality analysis. The forecasting of the series data is also presented for the next 12 months.
关键词：Vector Autoregressive Moving Average Model; Information Criteria; Granger Causality; Forecasting
其他关键词：VARMA model; Information criteria; Granger causality; Forecasting
