ARIMAX Modeling in R | Time series Forecasting
Описание
ARIMAX is the extended form of the ARIMA (Auto Regressive Integrated Moving Average) model (at Multivariate case ), this is the integration of Auto regressive parameters and Moving Average parameters, this is univariate short term forecasting technique, It works well when our dataset is small.
In the ARIMAX model we consider all which consider in the ARIMA and add the exogenous regressive covariate.
In the given problem we have to fit the time series model on the price and add the exogenous variable temp, cons, income.
Model:
Here ?_?: predicted value at time t which is regress on the ?_(?−1), ?_(?−2) and so on and Moving Average values ?_(?−1), ?_(?−2 )etc. And ?_? is white noise. ?_? are the another regressive variable. is the regression coefficient. is the AR parameter and is the moving average parameter.
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