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Limit theorems for arrays of maximal order statistics
Almost sure convergence weak law of large numbers generalized law of the iterated logarithm
2009/9/21
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....
CENTRAL LIMIT THEOREMS FOR RANDOM STAIN
Central Limit Theorem, two-parameter stochastic process, Poisson process, covariance matrix.
2009/9/21
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.
FUNCTIONAL LIMIT THEOREMS FOR PROBABILITY MEASURES ON HYPERGROUPS
Hypergroups functional limit theorem infmitely divisible laws embedding
2009/9/18
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...
ALMOST SURE LIMIT THEOREMS FOR SEMI-SELFSIMIILAR PROCESSES
Almost sure limit theorem semi-selfsimilar process semistable process ergodic theorem
2009/9/18
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...
ON THE RANDOM FUNCTIONAL CENTRAL LIMIT THEOREMS WITH ALMOST SURE CONVERGENCE
Almost sure central limit theorem functional random-sum central limit theorem lbgarithmic averages
2009/9/18
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...
LIMIT THEOREMS FOR STOCHASTIC DYNAMICAL SYSTEM ARISING IN ISING MODEL ANALYSIS
Markov chain random transformation weak convergence Ising model wetting
2009/9/18
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
Limit Theorems Symmetrics Weakly Dependent Processes
2009/9/17
On Limit Theorems for Symmetrics of Weakly Dependent Processes。
New multivariate central limit theorems in linear structural and functional error-in-variables models
explanatory variables domain of attraction of the normal law multivariate Student statistic positive definite matrix
2009/9/16
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...
Central limit theorems in linear structural error-in-variables models with explanatory variables in the domain of attraction of the normal law
central limit theorem domain of attraction of the normal law large-sample approximate confidence interval self-normalization Studentization
2009/9/16
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-deletion importance sampling estimators: Central limit theorems and related results
Infinite Variance Influence Leverage Marginal Residual Sum of Squares Markov Chain Monte Carlo Model Averaging Moment Index Tail Behavior
2009/9/16
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 ...
Limiting distributions and almost sure limit theorems for the normalized maxima of complete and incomplete samples from Gaussian sequence
complete and incomplete samples limiting distribution maximum stationary Gaussian sequence
2009/9/16
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...
Limit theorems for multiple stochastic integrals
Stable convergence Weak convergence Independently scattered measure
2009/6/12
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...
Limit theorems for an epidemic model on the complete graph
Epidemic model random walk complete graph Markov chains Law of Large Numbers Central Limit Theorem
2009/6/12
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...
Existence and spatial limit theorems for lattice and continuum particle systems
Interacting particle system functional central limit theorem point process
2009/5/18
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...
Limit theorems for multi-dimensional random quantizers
Limit theorem quantization error probability measure central limit theorems point measures
2009/3/20
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...