Geodesic
Some results on summability of random variables
Journal of integer sequences, Tome 7 (2004) no. 3.

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Summary: A convolution summability method introduced as an extension of the random-walk method generalizes the classical Euler, Borel, Taylor and Meyer-König type matrix methods. This corresponds to the distribution of sums of independent and identically distributed integer-valued random variables. In this paper, we discuss the strong regularity concept of Lorentz applied to the convolution method of summability. Later, we obtain the summability functions and absolute summability functions of this method.
Classification : 40A05, 40C05, 42B08, 43A99
Keywords: absolute summability functions, almost convergence, convolution summability method, random-walk method, regularity, summability functions, strong regularity 
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     author = {Goonatilake, Rohitha},
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Goonatilake, Rohitha. Some results on summability of random variables. Journal of integer sequences, Tome 7 (2004) no. 3. http://geodesic.mathdoc.fr/item/JIS_2004__7_3_a0/