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Let {x, Xd, 1 d j d m., n 3 1) be independent and identically distributed random variables with the Pareto distribution. Let X,,, be the k-th largest order statistic from the n-th row of our array....
The Central Limit Theorem in R and R" is proved for two-parameter stochastic process proposed in [6] as a model of a stain of pollution.
Let K be a hypergroup with left Haar measure and (v,,) a sequence of symmetric probability measures on K converging to s,. We will prove a functional limit theorem in the sense that convergence + p...
An integal analogue of the almost sure limit theorem is presented for semi-selfsimilar processes. In the theorem, instead of . a sequence of random elements, a continuous time random process is inv...
In this paper we present functional random-sum central limit theorems with almost sure convergence for independent nonidentically distributed random variables. We consider the case where the summat...
A simple stochastic dynamical system defined on the space of doubly-infinite sequences of real numbers is considered. Limit theorems for this system are proved. The results are applied to the physic...
On Limit Theorems for Symmetrics of Weakly Dependent Processes
This paper deals simultaneously with linear structural and functional error-in-variables models (SEIVM and FEIVM), revisiting in this context generalized and modified least squares estimators of the s...
Linear structural error-in-variables models with univariate observations are revisited for studying modified least squares estimators of the slope and intercept. New marginal central limit theorems (C...
Case-deleted analysis is a popular method for evaluating the influence of a subset of cases on inference. The use of Monte Carlo estimation strategies in complicated Bayesian settings leads naturally ...
Let ${X_k, kgeqslant 1}$ be a stationary Gaussian sequence with partial maximum $M_n=max{X_{k},1leqslant kleqslant n}$ and sample mean $overline{X}_n=sum_{k=1}^{n}X_{k}/n$. Suppose that some of the ra...
We show that the general stable convergence results proved in Peccati and Taqqu(2007)for generalized adapted stochastic integrals can be used to obtain limit theorems for multiple stochastic integrals...
We study the following random walks system on the complete graph with n vertices.At time zero,there is a number of active and inactive particles living on the vertices.Active particles move as continu...
We give a general existence result for interacting particle systems with local interactions and bounded jump rates but noncompact state space at each site. We allow for jump events at a site that affe...
We consider the $rth$ power quantization error arising in the optimal approximation of a $d$-dimensional probability measure $P$ by a discrete measure supported by the realization of $n$ i.i.d. random...

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