Autoregressive Integrated Moving Average models

GPTKB entity

Statements (40)
Predicate Object
gptkbp:instanceOf statistical analysis
gptkbp:abbreviation gptkb:ARIMA
gptkbp:appliesTo gptkb:signal_processing
finance
weather forecasting
econometrics
gptkbp:assumes linearity
normality of errors
no autocorrelation in residuals
gptkbp:component autoregressive (AR)
integrated (I)
moving average (MA)
gptkbp:generalizes autoregressive models
ARMA models
moving average models
https://www.w3.org/2000/01/rdf-schema#label Autoregressive Integrated Moving Average models
gptkbp:implementedIn gptkb:Python
gptkb:SAS
gptkb:MATLAB
R
gptkbp:introduced Box and Jenkins
gptkbp:introducedIn 1970
gptkbp:limitation sensitive to outliers
not suitable for non-linear time series
requires stationary data (after differencing)
gptkbp:mathematical_form ARIMA(p,d,q)
gptkbp:parameter q
p
d
gptkbp:relatedTo gptkb:SARIMA
gptkb:ARIMAX
gptkb:Box–Jenkins_methodology
gptkbp:requires parameter estimation
diagnostic checking
model identification
stationarity (after differencing)
gptkbp:usedFor time series analysis
forecasting
gptkbp:bfsParent gptkb:ARIMA_models
gptkbp:bfsLayer 7