Let X1, X2, ⋯, Xn be a sample of a one-dimensional random variable X; let the order statistic T(X1, X2, ⋯, Xn) be defined in such a manner that T(x1, x2, ⋯, xn) = (x(1), x(2), ⋯, x(n)) where x(1) ≤ ...
Several theorems are stated which are useful in establishing whether a given sequence of averages of independent but not identically distributed random variables does or does not satisfy the weak ...
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