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2000•International Journal of Stochastic AnalysisOpen access

Weak laws of large numbers for arrays of rowwise negatively dependent random variables

Robert L. Taylor, Ronald Frank Patterson, Abolghassem Bozorgnia

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Abstract

Weak laws of large numbers for arrays of rowwise negatively dependent random variables are obtained in this paper. The more general hypothesis of negative dependence relaxes the usual assumption of independence. The moment conditions are similar to previous results, and the stochastic bounded condition also provides a generalization of the usual distributional assumptions.

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Weak laws of large numbers for arrays of rowwise negatively dependent random variables are obtained in this paper. The more general hypothesis of negative dependence relaxes the usual assumption of independence. The moment conditions are similar to previous results, and the stochastic bounded condition also provides a generalization of the usual distributional assumptions.

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Available abstract

Weak laws of large numbers for arrays of rowwise negatively dependent random variables are obtained in this paper. The more general hypothesis of negative dependence relaxes the usual assumption of independence. The moment conditions are similar to previous results, and the stochastic bounded condition also provides a generalization of the usual distributional assumptions.

Key concepts: Mathematics, Generalization, Independence (probability theory), Law of large numbers, Random variable, Moment (physics), Bounded function, Combinatorics

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