A remark on the exact laws of large numbers for ratios of independent random variables

Abstract

Let (Xn) n∈N and (Yn) n∈N be two sequences of i.i.d. random variables which are independent of each other and all have the distribution of a positive random variable ξ with density f ξ . We study weighted strong laws of large numbers for the ratios of the formThis research complements some results known so far.