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math.PR2023
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…
math.PR2023
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…
math.PR2022
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…