On Jul 7, 2011, at 22:21 , Prof Brian Ripley wrote:

> On Thu, 7 Jul 2011, peter dalgaard wrote:
> 
>> 
>> On Jul 7, 2011, at 19:52 , Prof Brian Ripley wrote:
>> 
>>> Yes, ar and arima are using different estimation methods: arima is mle 
>>> whereas the default is method-of-moments.
>>> 
>>> With such a large ar coefficient the end effects will matter, and the mle 
>>> (done by arima or ar.mle or ar(method="mle")) is the more accurate method 
>>> since it makes maximal use of the ends of the series.
>> 
>> Yes, but...
>> 
>> MLE also has subtly stronger assumptions, namely that the whole series is 
>> stationary. This boils down to the first observation(s) having the 
>> stationary mean and variance. This is not always the case if, e.g., the 
>> system is measured following some initial perturbation.
> 
> But Yule-Walker (as distinct from OLS) also makes that assumption.
> 

Right. I was thinking of the conditional MLE given the first p observations, 
which AFAIR is equivalent to regressing on the lagged values (except probably 
for the residual df).


-- 
Peter Dalgaard
Center for Statistics, Copenhagen Business School
Solbjerg Plads 3, 2000 Frederiksberg, Denmark
Phone: (+45)38153501
Email: pd....@cbs.dk  Priv: pda...@gmail.com

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