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Consider a random coefficient AR(1) model, Xt =(Pn + φn) Xt-1 +μt, where { Pn, n ≥ 1 } is a sequnence of real numbers, { φn, n ≥ 1 }is a sequence of random variables, and the innovations of the model torm a sequence of i.i.d.random variables belonging to the domain of attraction of the normal law.