Dear Allin,
I think my propositions are neither smart, nor exotic
I am sure a kind of that variety is a must
Nobody estimates  ols directly:
qr or svd are required
The more it is true for notoriously bad arima convergence
case
For, example, I used orthogonal polynomials for
variance model in my tobithetm, and it
routinely converges when R and stata
analogues faiil
Oleh



1 листопада 2018, 16:47:07, від "Allin Cottrell" <cottrell@wfu.edu>:

On Thu, 1 Nov 2018, oleg_komashko@ukr.net wrote:

>> I didn't mean for my verdict to be humiliating
> I it was just poorly selected English word
> I meant I was disappointed to see results
> of the first script and didn't mean to
> characterize intentions.
> I was disappointed since I forgot to
> insert smpl 1 194 into the first code (with my_arima)
> With smpl 1 194 mean(diff_series) is O(10^-18)
> and everything looks quite different

OK!

> --x-12-arima comparison showed that
> my transformations do actually nothing to
> --x-12-arima estimation results
> In my opinion this is an evidence that they
> do something similar [...]

That's possible, though maybe they don't need to standardize. We know 
they use a switching algorithm -- ML for the ARMA terms plus GLS for 
the regression terms -- and since GLS has an analytical solution it 
shouldn't be so vulnerable to numerical problems in face of "wacky" 
data for the exogenous variables.

Speaking of x12a, I've now (in git) enabled the $vcv accessor for this 
case. The covariances between the ARMA and regression terms will be 
identically zero since x12a doesn't calculate them. IIRC they argue 
that they should be uncorrelated asymptotically.

Allin
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