Results 31 to 40 of about 609,633 (323)

On the LP-convergence for multidimensional arrays of random variables

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
For a d-dimensional array of random variables {Xn,n∈ℤ+d} such that {|Xn|p,n∈ℤ+d} is uniformly integrable for some ...
Le Van Thanh
doaj   +1 more source

Local limit theorems and mod-phi convergence [PDF]

open access: yes, 2019
We prove local limit theorems for mod-{\phi} convergent sequences of random variables, {\phi} being a stable distribution. In particular, we give two new proofs of a local limit theorem in the framework of mod-phi convergence: one proof based on the ...
Borgo, Martina dal   +2 more
core   +1 more source

Some strong convergence properties for arrays of rowwise ANA random variables

open access: yesJournal of Inequalities and Applications, 2016
In this paper, some complete convergence, complete moment convergence, and mean convergence results for arrays of rowwise asymptotically negatively associated (ANA) random variables are obtained. These theorems not only generalize some well-known ones to
Haiwu Huang   +2 more
doaj   +1 more source

Convergence of products of independent random variables to the log-Poisson law

open access: yesLietuvos Matematikos Rinkinys, 2002
There is not abstract.
Reda Lileikytė, Jonas Šiaulys
doaj   +3 more sources

Complete Moment Convergence for Negatively Dependent Sequences of Random Variables

open access: yesDiscrete Dynamics in Nature and Society, 2016
We study the complete moment convergence for sequences of negatively dependent identically distributed random variables with EX=0,  Eexp⁡|X ...
Qunying Wu, Yuanying Jiang
doaj   +1 more source

Complete Convergence for Weighted Sums of ρ∗-Mixing Random Variables

open access: yesDiscrete Dynamics in Nature and Society, 2010
We obtain the complete convergence for weighted sums of ρ∗-mixing random variables. Our result extends the result of Peligrad and Gut (1999) on unweighted average to a weighted average under a mild condition of weights.
Soo Hak Sung
doaj   +1 more source

Almost sure convergence for weighted sums of pairwise PQD random variables

open access: yes, 2018
We obtain Marcinkiewicz-Zygmund strong laws of large numbers for weighted sums of pairwise positively quadrant dependent random variables stochastically dominated by a random variable $X \in \mathscr{L}_{p}$, $1 \leqslant p < 2$.
da Silva, João Lita
core   +1 more source

Convergence of densities of some functionals of Gaussian processes [PDF]

open access: yes, 2013
The aim of this paper is to establish the uniform convergence of the densities of a sequence of random variables, which are functionals of an underlying Gaussian process, to a normal density.
Hu, Yaozhong, Lu, Fei, Nualart, David
core  

Convergence in distribution norms in the CLT for non identical distributed random variables

open access: yes, 2017
We study the convergence in distribution norms in the Central Limit Theorem for non identical distributed random variables that is $$ \varepsilon_{n}(f):={\mathbb{E}}\Big(f\Big(\frac 1{\sqrt n}\sum_{i=1}^{n}Z_{i}\Big)\Big)-{\mathbb{E}}\big(f(G)\big ...
Bally, Vlad   +2 more
core   +4 more sources

The Sequential Empirical Process of a Random Walk in Random Scenery [PDF]

open access: yes, 2015
A random walk in random scenery $(Y_n)_{n\in\mathbb{N}}$ is given by $Y_n=\xi_{S_n}$ for a random walk $(S_n)_{n\in\mathbb{N}}$ and iid random variables $(\xi_n)_{n\in\mathbb{Z}}$.
Wendler, Martin
core   +1 more source

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