Exact weak laws of large numbers with applications to ratios of random variables
Volume 47 / 2020
Applicationes Mathematicae 47 (2020), 59-66
MSC: Primary 60F05; Secondary 60F15, 60G50, 62G30.
DOI: 10.4064/am2396-2-2020
Published online: 27 March 2020
Abstract
We study convergence in probability of weighted sums of independent random variables which are not necessarily identically distributed. The results obtained are applied to ratios of independent random variables and ratios of smallest order statistics.
