3 citations · 5 across the 8 of their papers we have counts for
10 papers
A large deviation principle for a class of weighted means of random variables which converges weakly to the Dickman distribution
Rita Giuliano, Claudio Macci
In this paper we consider a wide class of weighted means of random variables which converge weakly to the Dickman distribution. This is inspired by a result proved in [3]. Then we…
Asymptotic results for sums and extremes
Rita Giuliano, Claudio Macci, Barbara Pacchiarotti
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 o…
Some examples of non-central moderate deviations for sequences of real random variables
Rita Giuliano, Claudio Macci
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 probabi…
Asymptotics of running maxima for -subgaussian random double arrays
Nour Al Hayek, Illia Donhauzer, Rita Giuliano +2
The article studies the running maxima where is a double array of -subgaussian ra…
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…
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…
Local Limit Theorems in some Random models from Number Theory
Rita Giuliano, Michel Weber
We study the local limit theorem for weighted sums of Bernoulli variables. We show on examples that this is an important question in the general theory of the local limit theorem,…
Approximate Local Limit Theorems with Effective Rate and Application to Random Walks in Random Scenery
Rita Giuliano, Michel Weber
We show that the Bernoulli part extraction method can be used to obtain approximate forms of the local limit theorem for sums of independent lattice valued random variables, with e…
A general correlation inequality and the Almost Sure Local Limit Theorem for random sequences in the domain of attraction of a stable law
Rita Giuliano, Zbigniew S. Szewczak
In the present paper we obtain a new correlation inequality and use it for the purpose of extending the theory of the Almost Sure Local Limit Theorem to the case of lattice random…
Almost Sure Local Limit Theorem for the Dickman distribution
Rita Giuliano, Zbigniew Szewczak, Michel Weber
In this paper we present a new correlation inequality and use it for proving an Almost Sure Local Limit Theorem for the so-called Dickman distribution. Several related results are…