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Mean convergence theorems and weak laws of large numbers for double arrays of random variables

Mean convergence theorems and weak laws of large numbers for double arrays of random variables

For a double array of random variables { X m n , m ≥ 1, n ≥ 1}, mean convergence theorems and weak laws of large numbers are established. For the mean convergence results, conditions are provided under which where { a m n i j ; m , n …