Under an appropriate regular variation condition, the affinely normalized partial sums of a sequence of independent and identically distributed random variables converges weakly to a non-Gaussian ...
Proceedings of the American Mathematical Society, Vol. 102, No. 3 (Mar., 1988), pp. 473-479 (7 pages) We present criteria for irrationality of limits of convergent sequences of rational numbers, ...
IN this book, the theory of convergence is developed on two fundamental assumptions. The first of these is concerned with upper bounds, namely, that a certain set of numbers has in it a least number ; ...
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