Journal or Publication Title:
Date of publication:
Volume:
Additional Information:
Title:
Creator:
Subject:
Uncontrolled Keywords:
random variable ; regularly varying function ; slowly varying function ; stable distribution
Coverage:
Abstract:
This article examines the behavior of the normalizing constants in V. Feller’s theorem on the convergence of distributions for sums of independent, identically distributed random variables with heavy tails at infinity. It is proved that, in this setting, the normalizing constant is regularly varying at infinity.