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Let X, X , X , . . . be a sequence of i.i.d. random variables such that EX s 0, let 1 2 Z be a random variable possessing a stable distribution G with exponent ␣, 1 -␣ F 2, assume the distribution of X is attracted to G, and set S s X n 1 q иии qX . We prove that n p Ž ␣ p rŽ ␣yp..Ž r r py1. r r py2 1 r p yŽ ␣ p rŽ ␣yp..Ž r r py1.

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