Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Rita Giuliano Antonini"'
Publikováno v:
Rendiconti del Seminario Matematico della Università di Padova. 149:131-150
Publikováno v:
Journal of the Korean Mathematical Society. 50:379-392
A general result for the complete convergence of arrays ofrowwise extended negatively dependent random variables is derived. Asits applications eight corollaries for complete convergence of weightedsums for arrays of rowwise extended negatively depen
Publikováno v:
Statistics & Probability Letters. 83:534-542
For a sequence { X n , n ≥ 1 } of random variables, set Y n = max 1 ≤ k ≤ n X k − a n , where { a n , n ≥ 1 } is a sequence of constants to be specified. We obtain the limiting behavior of the sequences of positive and negative parts of { Y
Autor:
Michel Weber, Rita Giuliano-Antonini
Publikováno v:
Stochastic Analysis and Applications. 29:779-798
We establish almost sure versions, with rate, of the local limit theorem for lattice distributed random variables. We also prove a new delicate correlation inequality for sums of i.i.d. lattice distributed random variables.
Autor:
Michel Weber, Rita Giuliano-Antonini
Publikováno v:
Statistics and Probability Letters
Statistics and Probability Letters, Elsevier, 2009, 78 (5), pp.564. ⟨10.1016/j.spl.2007.09.008⟩
Statistics and Probability Letters, Elsevier, 2009, 78 (5), pp.564. ⟨10.1016/j.spl.2007.09.008⟩
International audience; We prove a weighted Almost Sure Limit Theorem in the setting of random iterative models. This theorem generalizes previous results obtained for sequences of normalized partial sums and some other classes of random sequences.
Publikováno v:
Czechoslovak Mathematical Journal. 57:947-962
The continuity of densities given by the weight functions n α , α ∈ [−1, ∞[, with respect to the parameter α is investigated.
Autor:
Luca Pratelli, Rita Giuliano Antonini
Publikováno v:
Theory of Probability and Mathematical Statistics. 70:1-9
We prove a Strong Law of Large Numbers in which the variables are assumed to be asymptotically negligible and a generalized Almost Sure Central Limit Theorem is given. As an application we obtain a result about the so-called intersective ASCLT.
Autor:
Rita Giuliano-Antonini, Michel Weber
Publikováno v:
Colloquium Mathematicum. 102:271-290
Publikováno v:
Statistics & Probability Letters. 58:185-194
We obtain complete convergence results for arrays of rowwise independent Banach space valued random elements. In the main result no assumptions are made concerning the geometry of the underlying Banach space. As corollaries we obtain a result on comp
Publikováno v:
Stochastic Analysis and Applications. 19:903-909
Let {Xn; n $ 1} be a sequence of independent and identically distributed random variables and {ani; 1 # i # n; n $ 1} an array of constants. Some strong convergence results for the weighted sums P n¼1 aniXi are obtained.