VAR Forecasts

Questions and discussions on Vector Autoregressions

VAR Forecasts

Postby Nabtheberliner » Wed Apr 24, 2013 4:28 pm

Hi Tom,
I'm wondering how can i change the title of this topic :maximum likelihood estimators to VAR study?

Also, according this task below:

[quote][/quote]Use the LS estimate and compute point forecasts ^y86(1),^ y86(2) (that is, the
forecast origin is the last quarter of 1968) and the corresponding MSE matrices
^Σy(1),^ Σy(2),  ^Σ^y(1), and ^Σ ^y(2). Use these estimates to set up approximate
95% interval forecasts assuming that the process yt is Gaussian.

Where can i get some interesting explanations about how to compute estimated forecast MSE matrices? for h=1 it's easy but as you know the tricky point is for h=2 when i need to compute the omega matrix like in the Lütkepohl's book: New Introduction To Multiple Time Series Analysis p.99?

Thanks Tom
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Re: VAR Forecasts

Postby TomDoan » Wed Apr 24, 2013 4:50 pm

Nabtheberliner wrote:Hi Tom,
I'm wondering how can i change the title of this topic :maximum likelihood estimators to VAR study?


Start a new topic (which I already did). Don't rename as existing one since anyone looking for information on what you were doing before won't find it otherwise.

Nabtheberliner wrote:Also, according this task below:

Use the LS estimate and compute point forecasts ^y86(1),^ y86(2) (that is, the
forecast origin is the last quarter of 1968) and the corresponding MSE matrices
^Σy(1),^ Σy(2),  ^Σ^y(1), and ^Σ ^y(2). Use these estimates to set up approximate
95% interval forecasts assuming that the process yt is Gaussian.

Where can i get some interesting explanations about how to compute estimated forecast MSE matrices? for h=1 it's easy but as you know the tricky point is for h=2 when i need to compute the omega matrix like in the Lütkepohl's book: New Introduction To Multiple Time Series Analysis p.99?

Thanks Tom


I would recommend not bothering with that. So-called "exact" calculations of standard errors for IRF's and forecasts was one of Lütkepohl's research interests, and it shows in the book. As you can see, it involves quite a bit of number-crunching. A more common way to compute the distribution of forecasts taking into account uncertainty in the coefficient estimates is with Monte Carlo integration.
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Re: VAR Forecasts

Postby Nabtheberliner » Wed Apr 24, 2013 4:59 pm

OK sorry Tom you were very quick, it wasn't gone.
Thanks for the change
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Re: VAR Forecasts

Postby Nabtheberliner » Wed Apr 24, 2013 5:01 pm

OK i skip the question
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