Journal of the Korean Mathematical Society · 2008 · 43 citations · 12 references
Natural SciencesProperty LawProbability TheoryStochastic ProcessesLaw Of Large NumbersLimit TheoremsRandom VariablesDependent VariablesIntegrability ConditionsLimit LawsLimit Theorems For Dependent Random VariablesUniform Law Of Large NumbersWeak Law Of Large Numbers
For an array of dependent random variables satisfying a new notion of uniform integrability, weak laws of large numbers are obtained. Our results extend and sharpen the known results in the literature.
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Manuel Ordóñez Cabrera, Andrei Volodin · Journal of Mathematical Analysis and Applications · 2005 · 65 citations
The weak law of large numbers for arrays
Allan Gut · Statistics & Probability Letters · 1992 · 57 citations