A simple derivation of a limiting distribution of Logan, Mallows, Rice and Shepp is found. This is the limiting distribution of a sequence of partial sums of independent, identically distributed random variables in the domain of attraction of a stable law, normalized by the partial sums of the absolute values of these variables.
"Note on a Limit Theorem." Ann. Probab. 3 (5) 876 - 878, October, 1975. https://doi.org/10.1214/aop/1176996274