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Refers to the AutoRegressive Integrated Moving Average model used in time series modeling both for data description and for forecasting. This model generalizes the ARMA model by including a term for differencing, which is useful for removing trends and handling some types of non-stationarity.

2 votes
0 answers
781 views

ARIMA-GARCH model for exchange rates

I am currently working on a model for exchange rates, and I want to use an ARIMA-GARCH specification. More precisely, I work on the log-returns series. …
Ludo's user avatar
  • 303
2 votes
0 answers
6k views

auto.arima and Arima (forecast package)

code auto.arima(data,d=0,D=1,xreg=1:length(data),max.p=3,max.q=3,max.order=10, seasonal=TRUE,stepwise=FALSE,approximation=FALSE,ic=("aic"),parallel=TRUE) The outcome is Series: data ARIMA … function: Arima(data,order=c(1,0,3),seasonal=list(order=c(2,1,2),period=12), xreg=1:length(data),method="ML") but I get the following error message: Error in optim(init[mask], armafn, method …
Ludo's user avatar
  • 303
4 votes
0 answers
535 views

Time Series: Seasonality and trend

I am interested in financial time series and I have a small question regarding the use of the forecast package. The time series I am interested in is a monthly one and present clear evidences of sea …
Ludo's user avatar
  • 303
3 votes
1 answer
9k views

auto.arima from Forecast package

As a first try, I use the command auto.arima(data,d=0,D=1,max.p=2,max.q=2,max.P=2,max.Q=2,max.order=8, xreg=xreg_past,trace=TRUE,ic="aic") The model I get is an ARIMA(2,0,2)(0,1,1)[12] with an AIC equal … Furthermore, If I take a look in the trace of the last function call, I see that the ARIMA(2,0,2)(0,1,1)[12] model has now an AIC of -245.13 which explains why it has been rejected. …
Ludo's user avatar
  • 303
2 votes
0 answers
183 views

Time series and stationarity tests

In that situation, I could force the auto.arima function to consider only ARIMA models that include a linear trend, but I can also explore all the models (including or not the trend) and let auto.arima … Should the test result be prevalent to the selection of the ARIMA model, or is it best to consider all possible models and choose the best one ? …
Ludo's user avatar
  • 303