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Efficient online (rolling window) estimation of a GARCH model
I have a time series $x_t$ of length $n$. I would like to model it using rolling window approach with window length (width) $w$:
window $1$: $x_1,\dots,x_w$,
window $2$: $x_2,\dots,x_{w+1}$,
$\dots$,
...
1
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0
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Transformation w/ Rolling Regression (Residual Function)
In a time series with OLS regression curve $\widehat Y$ (rolling linear regression), and with $n=20,$ what can I say about this transformation? This formula is similar to a differential minus its ...