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math.PR2020
Convergence for weighted sums of Luroth type random variables
Rita Giuliano, Milto Hadjikyriakou
In this work we prove an asymptotic result, that under some conditions on the involved distribution functions, is valid for any Oppenheim expansion, extending a classical result pr…
math.PR2020
On exact laws of large numbers for Oppenheim expansions with infinite mean
Rita Giuliano, Milto Hadjikyriakou
In this work we investigate the asymptotic behaviour of weighted partial sums of a particular class of random variables related to Oppenheim series expansions. More precisely, we v…