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A central limit theorem for triangular arrays of weakly dependent random variables, with applications in statistics
We derive a central limit theorem for triangular arrays of possibly nonstationary random variables satisfying a condition of weak dependence in the sense of Doukhan and Louhichi [Stoch.Proc.Appl.84 (1999) 313-342].The proof uses a new variant of the Lindeberg method: the behavior of the partial sums is compared to that of …