4 papers
On the limit distribution of extremes of generalized Oppenheim random variables
Milto Hadjikyriakou, Rita Giuliano
This paper investigates the asymptotic behavior of the extremes of a sequence of generalized Oppenheim random variables. Particularly, we establish conditions under which some norm…
Strong laws of large numbers for lightly trimmed sums of generalized Oppenheim expansions
Milto Hadjikyriakou, Rita Giuliano
In the framework of generalized Oppenheim expansions we prove strong law of large numbers for lightly trimmed sums. In the first part of this work we identify a particular class of…
Intermediately Trimmed Sums of Oppenheim Expansions: a Strong Law
Rita Giuliano, Milto Hadjikyriakou
The work of this paper is devoted to obtaining strong laws for intermediately trimmed sums of random variables with infinite means. Particularly, we provide conditions under which…
New asymptotic results for generalized Oppenheim expansions
Rita Giuliano, Milto Hadjikyriakou
In this work, we study convergence in probability and almost sure convergence for weighted partial sums of random variables that are related to the class of generalized Oppenheim e…