Optional ReadonlyexogenousGARCH-X (params with δ): the x that enter the variances, x_T for step 1's
and x_{T+k} for step k + 1's — steps values, or one held throughout.
Without a state to start from, the paths start at (ω + δ·mean(x))/(1 − P).
Optional ReadonlyinnovationsWhere the innovations come from: absent, the parametric family the params
name; { bootstrap: z }, drawn with replacement from z — a fit's
standardised residuals (standardizedResiduals), as filtered historical
simulation draws them. ν and λ are then not used for the draws.
Optional ReadonlylastOptional ReadonlylastWhere the recursion stands: s and e of the last observed return. With
both, step 1's variance is the one-step forecast; without, the paths
start at the unconditional variance. A FitAt spreads into the request.
ReadonlymodelReadonlyparamsWith nu, the innovations are Student-t standardised to unit variance, with lambda too Hansen's skewed t (garch and gjr only).
ReadonlypathsReadonlyseedThe same seed gives the same paths, on any platform.
Readonlysteps
Paths of the model forward from given parameters: what a fan chart, a quantile of the h-step return, or a check of a forecast against its own Monte Carlo needs.