GARCH Toolbox | ![]() ![]() |
This section gives you access to the GARCH function reference pages:
This section lists the GARCH Toolbox functions according to their purpose.
Univariate GARCH Modeling
Function |
Purpose |
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Univariate GARCH process parameter estimation. |
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Univariate GARCH process forecasting. |
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Univariate GARCH process simulation. |
Univariate GARCH Innovations Inference
Function |
Purpose |
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Inverse filter to infer GARCH innovations and conditional standard deviations from an observed return series. |
Log-Likelihood Objective Functions
Function |
Purpose |
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Univariate GARCH process objective function (Gaussian innovations). |
Statistics and Tests
Function |
Purpose |
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Akaike and Bayesian information criteria for model order selection. |
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Engle's hypothesis test for the presence of ARCH/GARCH effects. |
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Plot or return computed sample auto-correlation function. |
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Plot or return computed sample cross-correlation function. |
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Ljung-Box Q-statistic lack-of-fit hypothesis test. |
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Likelihood ratio hypothesis test. |
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Plot or return computed sample partial auto-correlation function. |
GARCH Specification Structure Interface Functions
Function |
Purpose |
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Retrieve a GARCH specification structure parameter. |
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Helpers and Utilities
Function |
Purpose |
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Convert finite-order ARMA models to infinite-order AR models. |
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Count GARCH estimation coefficients. |
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Display GARCH process estimation results. |
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Convert finite-order ARMA models to infinite-order MA models. |
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Create a lagged time series matrix. |
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Convert price series to a return series. |
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Convert return series to a price series. |
Graphics
Function |
Purpose |
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Plot matched univariate innovations, volatility, and return series. |
![]() | Reference | Alphabetical List of Functions | ![]() |