Zobrazeno 1 - 10
of 134
pro vyhledávání: '"Giuliano, Rita"'
Autor:
Hadjikyriakou, Milto, Giuliano, Rita
This paper investigates the asymptotic behavior of the extremes of a sequence of generalized Oppenheim random variables. Particularly, we establish conditions under which some normalized extremes of sequences arising from Oppenheim expansions belong
Externí odkaz:
http://arxiv.org/abs/2405.11241
In this paper we present a new formulation of the Beurling-Malliavin density (Proposition 1). Then we consider the upper Polya density and show how its existence is connected with the concept of subadditivity; moreover, by means of some quantities in
Externí odkaz:
http://arxiv.org/abs/2404.18711
Autor:
Giuliano, Rita, Grekos, Georges
We study the notion of Beurling-Malliavin density from the point of view of Number Theory. We prove a general relation between the Beurling-Malliavin density and the upper asymptotic density; we identify a class of sequences for which the two densiti
Externí odkaz:
http://arxiv.org/abs/2311.04762
Autor:
Hadjikyriakou, Milto, Giuliano, Rita
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 expansions for which we provide a convergence result assuming that on
Externí odkaz:
http://arxiv.org/abs/2311.02764
Autor:
Giuliano, Rita, Hadjikyriakou, Milto
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 the intermediately trimmed sums of independent but not identically dis
Externí odkaz:
http://arxiv.org/abs/2310.00669
Publikováno v:
J. Appl. Probab. 61 (2024) 1153-1171
The term moderate deviations is often used in the literature to mean a class of large deviation principles that, in some sense, fills the gap between a convergence in probability of some random variables to a constant and a weak convergence to a cent
Externí odkaz:
http://arxiv.org/abs/2210.02098
Autor:
Giuliano, Rita, Hadjikyriakou, Milto
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 expansions. It is worth noting that the random variables under study ha
Externí odkaz:
http://arxiv.org/abs/2207.09683
Autor:
Giuliano, Rita, Macci, Claudio
The term \emph{moderate deviations} is often used in the literature to mean a class of large deviation principles that, in some sense, fill the gap between a convergence in probability to zero (governed by a large deviation principle) and a weak conv
Externí odkaz:
http://arxiv.org/abs/2110.05859
The article studies the running maxima $Y_{m,j}=\max_{1 \le k \le m, 1 \le n \le j} X_{k,n} - a_{m,j}$ where $\{X_{k,n}, k \ge 1, n \ge 1\}$ is a double array of $\varphi$-subgaussian random variables and $\{a_{m,j}, m\ge 1, j\ge 1\}$ is a double arr
Externí odkaz:
http://arxiv.org/abs/2101.06366
Autor:
Giuliano, Rita, Hadjikyriakou, Milto
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 proven by W. Vervaat in 1972 for denominators of the Luroth case. Furthe
Externí odkaz:
http://arxiv.org/abs/2010.09310