Journal of Integer Sequences, Vol. 7 (2004), Article 04.3.4

Some Results on Summability of Random Variables

Rohitha Goonatilake
Department of Mathematical and Physical Sciences
Texas A&M International University
Laredo, Texas 78041-1900
USA

Abstract: 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.

Received September 11 2003; revised version received August 18 2004. Published in Journal of Integer Sequences September 29 2004.