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Author Country (or Countries)

Algeria

Abstract

Peng [17] proposed an asymptotically normal estimator of the mean of a heavy tailed distribution with tail index a > 1 based on an i.i.d. observations. The goal in this paper is to propose an extension of this estimator which is also asymptotically normal for a sequence X1,X2, . . . ,Xn, . . . resulting from an AR(1) stationary process with common heavy tailed distribution of innovations.

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