![On the Strong Laws for Weighted Sums of <inline-formula> <graphic file="1029-242X-2011-157816-i1.gif"/></inline-formula>-Mixing Random Variables](/en/item/26413086/On-the-Strong-Laws-for-Weighted-Sums-of-lessinline-formulagreater-lessgraphic-file"1029-242X-2011-157816-i1.gif"greaterlessinline-formulagreater-Mixing-Random-Variables){kind=link}
Add to ORKGIn this paper we prove a strong approximation result for a mixing sequence with in¯nite variance and logarithmic decay rate of the mixing coe±cient. The result is proved under the assumption that the distribution is symmetric and lies in the domain of attraction of the normal law. Moreover the function L(x) = EX21fjXj·xg is supposed to be slowly varying with remainder (log x)¡®(log log)¡¯(x) with ®; ¯> 1.
Given \s{Xi, i [greater-or-equal, slanted] 1\s} as non-stationary strong mixing (n.s.s.m.) sequence ...
The strong mixing property for a sequence of random variables is interesting in its own right. It is...
In this paper we improve upon results on the almost sure approximation of the empirical process of w...
In this article we give a necessary and sufficient condition for a self-normalized weak invariance p...
Let Y 1 ; Y 2 ; : : : be a stationary, ergodic sequence of non-negative random variables with heavy ...
In this paper, we study the almost sure convergence for -mixing sequences of random variables. As a ...
We prove an almost sure central limit theorem (ASCLT) for strongly mixing sequence of random variabl...
An almost sure invariance principle for stationary mixing sequences of random variables with mean ze...
Here we present a simple stochastic mixing model based on the law of large numbers (LLN). The reason...
AbstractCharacterization theorems are obtained for the possible limits in distribution of a family o...
AbstractAn almost sure invariance principle for stationary mixing sequences of random variables with...
Let s{;Xns};, n [greater-or-equal, slanted] 1, be a stationary [alpha]-mixing sequence of real-value...
A necessary and sufficient condition for the weak convergence of partial sums of strongly mixing ran...
We prove the almost sure representation, a law of the iterated logarithm and an invariance principle...
Complete convergence is studied for linear statistics that are weighted sums of identically distrib...
Given \s{Xi, i [greater-or-equal, slanted] 1\s} as non-stationary strong mixing (n.s.s.m.) sequence ...
The strong mixing property for a sequence of random variables is interesting in its own right. It is...
In this paper we improve upon results on the almost sure approximation of the empirical process of w...
In this article we give a necessary and sufficient condition for a self-normalized weak invariance p...
Let Y 1 ; Y 2 ; : : : be a stationary, ergodic sequence of non-negative random variables with heavy ...
In this paper, we study the almost sure convergence for -mixing sequences of random variables. As a ...
We prove an almost sure central limit theorem (ASCLT) for strongly mixing sequence of random variabl...
An almost sure invariance principle for stationary mixing sequences of random variables with mean ze...
Here we present a simple stochastic mixing model based on the law of large numbers (LLN). The reason...
AbstractCharacterization theorems are obtained for the possible limits in distribution of a family o...
AbstractAn almost sure invariance principle for stationary mixing sequences of random variables with...
Let s{;Xns};, n [greater-or-equal, slanted] 1, be a stationary [alpha]-mixing sequence of real-value...
A necessary and sufficient condition for the weak convergence of partial sums of strongly mixing ran...
We prove the almost sure representation, a law of the iterated logarithm and an invariance principle...
Complete convergence is studied for linear statistics that are weighted sums of identically distrib...
Given \s{Xi, i [greater-or-equal, slanted] 1\s} as non-stationary strong mixing (n.s.s.m.) sequence ...
The strong mixing property for a sequence of random variables is interesting in its own right. It is...
In this paper we improve upon results on the almost sure approximation of the empirical process of w...