Sorry I am not really sure I have been taht clear. I meant ARMA which is not bound to have zero mean. More precisely, suppose I estimate y(t) = a + by(t-1) + e(t) + ce(t-1) , i.e. and ARMA(1,1). My question is how do I simulate values for yt given the values for a, b and c? My problem with arima.sim is that I cannot find a way to pass the value for the constant a.
Output from R is: Coefficient(s): Estimate Std. Error t value Pr(>|t|) ar1 0.82978 0.01033 80.297 < 2e-16 *** ma1 0.46347 0.01548 29.942 < 2e-16 *** intercept -0.02666 0.01012 -2.635 0.00841 ** --- Intercept is significant and I suppose it should be used if I want simulate values from this ARMA(1,1) Thanks and Apologies for not being clear Paolo On 3 January 2011 16:46, Prof Brian Ripley <rip...@stats.ox.ac.uk> wrote: > On Mon, 3 Jan 2011, Paolo Rossi wrote: > > Hi, >> >> I have been looking at arima.sim to simulate the output from an ARMA model >> fed with a normal and uncorrelated input series but I cannot find a way to >> pass an intercept / constant into the model. In other words, the model >> input >> in the function allows only for the AR and MA components but I need to >> pass >> a constant. >> >> Can anyone help? >> > > Well, an ARIMA model by definition has zero mean (as the link on the help > page for arima.sim to the exact definition tells you). Perhaps you mean > that (X-m) = Z follows an ARIMA model, in which case simulate Z and add m. > For a differenced ARIMA model it is not clear if you meant that you wanted > an intercept for the original or differenced series: for the latter simply > simulate the differenced series, add the intercept and use diffinv(). > > Thanks >> >> Paolo >> >> [[alternative HTML version deleted]] >> > > Please do as we asked in the posting guide and not send HTML. > > -- > Brian D. Ripley, rip...@stats.ox.ac.uk > Professor of Applied Statistics, http://www.stats.ox.ac.uk/~ripley/ > University of Oxford, Tel: +44 1865 272861 (self) > 1 South Parks Road, +44 1865 272866 (PA) > Oxford OX1 3TG, UK Fax: +44 1865 272595 > [[alternative HTML version deleted]] ______________________________________________ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.