Stochastic random walk summability
The author is concerned with the random walk family of summability methods as introduced by \textit{N. H. Bingham} [Math. Z. 186, 273-286 (1984; Zbl 0525.60031); J. Lond. Math. Soc., II. Ser. 29, 141-146 (1984; Zbl 0501.40006) and ibid. 30, 281-287 (1984; Zbl 0518.40002)]. These include the Euler, Borel, Meyer-König (or Laurent), and Valiron methods. Convergence to the Wiener process of the partial sums process of random walk summation is shown to hold under suitable assumptions.
scientific article; zbMATH DE number 3962896