Establishes mean convergence in multidimensional arrays, suggesting improvement over past results.
A new concept of weight-array-based stochastic domination in the Cesàro sense is developed. Under Gut’s condition, we establish the weak law of large numbers and Lr-convergence for weighted sums of multidimensional arrays of pairwise negatively quadrant dependent random variables. These results improve and extend corresponding known results in the literature.
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Wang et al. (2026) studied this question.
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