On Fri, 1 Feb 2019, Sven Schreiber wrote:
Am 01.02.2019 um 20:47 schrieb Allin Cottrell:
> On Fri, 1 Feb 2019, Sven Schreiber wrote:
>> Thanks, interesting. However, I don't think that it is necessarily wrong
>> per se. This is exactly the problem why the people from Copenhagen and
>> Oxford tried to promote only the usage of the cases where the tests are
>> (asymptotically) "similar" (terminus technicus here). And the
unrestricted
>> constant case is not, it depends on whether a trend is actually in the
>> data or not.
>> (I hope I'm not misrepresenting their opinions.)
>>
>> So one could interpret the urca choice as trying to be on the safe side,
>> at the cost of having a conservative test (asymptotically).
>
> Granted. But -- if I'm understanding the issue correctly -- wouldn't this
> choice amount to assuming that the chosen statistical model is
> misspecified? (It allows for a trend that does not exist in the DGP.)
Well, but the statistical model is more general in this case. That's not what
we typically call mis-specified. I'd say it's more subtle. But I agree
there's a reason why this setup didn't become standard.
One way of interpreting urca is that it simply treats the
unrestricted constant and unrestricted trend cases as personae non
gratae. After all, the options to the function allow only 3 of
Johansen's 5 cases.
Allin