Abstract
It is shown that if $F_n$ is a stable distribution function for each value of $n$ and if $F_n$ converges completely to $F$, then $F$ is a stable distribution function.
Citation
Stephen James Wolfe. "A Note on the Complete Convergence of Stable Distribution Functions." Ann. Math. Statist. 43 (1) 363 - 364, February, 1972. https://doi.org/10.1214/aoms/1177692733
Information
Published: February, 1972
First available in Project Euclid: 27 April 2007
zbMATH: 0239.60032
MathSciNet: MR298741
Digital Object Identifier: 10.1214/aoms/1177692733
Rights: Copyright © 1972 Institute of Mathematical Statistics