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I've identified this as a AR(1) model as the ACF clearly shows a slow decay and the PACF seems like a cut off after lag 2. However, can it also be a ARMA (1,1) model because PACF seems like a damped sinusoid too?

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The ACF indicates q=[1,2,3,4,5] and PACF indicates p=[1]. I don't think the damping sinusoid shape matters because spikes are almost inside of the significant level.

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