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st: estat abond when error is MA(1)


From   Hewan Belay <hewan_belay@yahoo.com>
To   Stata List <statalist@hsphsun2.harvard.edu>
Subject   st: estat abond when error is MA(1)
Date   Sun, 29 Nov 2009 15:36:40 -0800 (PST)

Dear Statalist,

I wanted to confirm if my my derivation and understanding is correct: Suppose we assume that in a dynamic model the idiosyncratic error is not iid, but rather MA(1). In that case, the differenced error would be MA(2). So both the first- and the second-order serial correlation of the *differenced* error term would be non-zero, whereas the third- and higher-order correlations would be zero. Correct so far? 
 
In that case, if my assumption of an MA(1) process in the level of the error is on target, I should expect to see p-values for both the 1st and 2nd order of the -estat abond- test showing non-siginifant test stats, i.e. p-values higher than say 0.10. 
 
My first quetion is: is this right? And secondly, is there any other test through which I can discern if, say the third order correlation is indeed zero as it should be if the MA(1) errors assumption is appropriate? Please note that I am using an estimator with robust standard errors, so the postestimation test -estat sargan- is not available to me.
 
Many thanks!
Hewan


      

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