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ARIMA modeling

Purpose
Description
Macro Synopsis
Modules
Related Functions
References


Purpose

Estimate the coefficients of an ARIMA model


Description

"ARIMA modeling" treats the given signal y as an Auto-Regressive Integrated Moving Average (ARIMA) process according to

with the input data x passed through a difference filter D times. This difference filter is given by

where N denotes the length of x.

"ARIMA modeling" estimates its model coefficients of the given order and returns the residual r, i.e. the estimation error signal. Input parameters are


The AR and MA coefficients of the estimated model will appear in the message window.


Macro Synopsis

r = ARIMAmodel(y,P,Q,D);
signal r,y;
int P,Q,D;


Modules

Statistics


Related Functions

AR simulation, ARIMAX modeling, ARMA model order, ARMA modeling, ARMA simulation, ARMA spectral density, ARMAX modeling, ARMAX simulation, NAR modeling, NARMA modeling.


References

Ljung [10], Conover [11], Graybill [12], Hollander/Wolfe [13].