On the limit distributions of sums of mixing Bernoulli random variables

Wieslaw Dziubdziela

Statistics & Probability Letters, 1995, vol. 23, issue 2, 179-182

Abstract: Let {Xn,i, 1 [less-than-or-equals, slant] i [less-than-or-equals, slant] n,n [greater-or-equal, slanted] 1} be a triangular array of Bernoulli random variables which is strictly stationary in each row. Suppose a certain mixing condition [Delta] holds for {Xn,i}. Write . We characterize the possible limit distributions for Sn and present necessary and sufficient conditions for the convergence of Sn to each possible limit distribution.

Keywords: Bernoulli; random; variables; Sums; Compound; Poisson; distribution; Mixing; condition (search for similar items in EconPapers)
Date: 1995
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