# Class "Goestnls": GO-GARCH models estimated by Non-linear Least-Squares

### Description

This class contains the `GoGARCH`

class and has the
outcome of `optim`

as an additional slot.

### Objects from the Class

Objects can be created by calls of the form `new("Goestnls", ...)`

,
or with the function `gogarch`

whereby `method = "nls"`

has
been set.

### Slots

`nls`

:Object of class

`"list"`

: List returned by`optim`

.`Z`

:Object of class

`"matrix"`

: Transformation matrix.`U`

:Object of class

`"matrix"`

: Orthogonal matrix.`Y`

:Object of class

`"matrix"`

: Extracted component matrix.`H`

:Object of class

`"list"`

: List of conditional variance/covariance matrices.`models`

:Object of class

`"list"`

: List of univariate GARCH model fits.`estby`

:Object of class

`"character"`

: Estimation method.`X`

:Object of class

`"matrix"`

: The data matrix.`V`

:Object of class

`"matrix"`

: Covariance matrix of`X`

.`P`

:Object of class

`"matrix"`

: Left singular values of Var/Cov matrix of`X`

.`Dsqr`

:Object of class

`"matrix"`

: Square roots of eigenvalues on diagonal, else zero.`garchf`

:Object of class

`"formula"`

: Garch formula used for uncorrelated component GARCH models.`name`

:Object of class

`"character"`

: The name of the original data object.

### Extends

Class `"GoGARCH"`

, directly.
Class `"Goinit"`

, by class "GoGARCH", distance 2.

### Methods

- cvar
Returns the conditional variances as object with class attribute

`"mts" "ts"`

.- ccov
Returns the conditional co-variances as object with class attribute

`"mts" "ts"`

.- ccor
Returns the conditional correlationsas object with class attribute

`"mts" "ts"`

.- coef
Returns the coeffiecients of the component GARCH models.

- converged
Returns the convergence codes of the component GARCH models.

- formula
Returns the formula for the component GARCH models.

- goest
NLS-Estimation of Go-GARCH models.

- plot
Plotting of the conditional correlations.

- predict
Returns the conditional covariances and mean forecasts and the forecasts of the component GARCH models, object is of class

`Gopredict`

.- residuals
Returns the residuals of the Go-GARCH model as object with class attribute

`"mts" "ts"`

.- resid
Returns the residuals of the Go-GARCH model as object with class attribute

`"mts" "ts"`

.- show
show-method for objects of class

`Goestnls`

.- summary
summary-method for objects of class

`GoGARCH`

, object is of class`Gosum`

.- update
Updates an object of class

`GoGARCH`

.

### Author(s)

Bernhard Pfaff

### See Also

`GoGARCH`

, `Goinit`

,
`Gosum`

, `Gopredict`

,
`goest-methods`

, `gogarch`