Add to ORKGThe aim of this paper is to give new central limit theorems and invariance principles for [phi]-mixing sequences of random variables that support the Ibragimov-Iosifescu conjecture. A related conjecture is formulated and a positive answer is given for the distributions that have tails regularly varying with the exponent -2.[phi]-mixing sequences central limit theorem invariance principle
An almost sure invariance principle for stationary mixing sequences of random variables with mean ze...
Abstract. We present a generalization of the Baum-Katz theorem for ϕ-mixing sequences of random vari...
In this paper, the complete convergence and weak law of large numbers are established for -mixing s...
AbstractThis article is motivated by a central limit theorem of Ibragimov for strictly stationary ra...
This article is a survey of the main results on the central limit theorem (CLT) and its invariance p...
AbstractIn this note a functional central limit theorem for ϱ-mixing sequences of I. A. Ibragimov (T...
In this note a functional central limit theorem for [varrho]-mixing sequences of I. A. Ibragimov (Th...
In this paper, we study the almost sure convergence for -mixing sequences of random variables. As a ...
12 pagesInternational audienceIn 1983, N. Herrndorf proved that for a $\phi$-mixing sequence satisfy...
AbstractUniform and nonuniform Berry-Esseen bounds are given for strongly mixing and uniformly mixin...
101 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1982.Assume that F is a distributi...
We improve an almost sure invariance principle for f-mixing sequences of real random variables with ...
For a strictly stationary sequence {Xi} define , where Fn and F are the empirical distribution funct...
In this paper we study the almost sure conditional central limit theorem in its functional form for ...
Sen (1974, Weak convergence of multidimensional empirical processes for stationary [phi]-mixing proc...
An almost sure invariance principle for stationary mixing sequences of random variables with mean ze...
Abstract. We present a generalization of the Baum-Katz theorem for ϕ-mixing sequences of random vari...
In this paper, the complete convergence and weak law of large numbers are established for -mixing s...
AbstractThis article is motivated by a central limit theorem of Ibragimov for strictly stationary ra...
This article is a survey of the main results on the central limit theorem (CLT) and its invariance p...
AbstractIn this note a functional central limit theorem for ϱ-mixing sequences of I. A. Ibragimov (T...
In this note a functional central limit theorem for [varrho]-mixing sequences of I. A. Ibragimov (Th...
In this paper, we study the almost sure convergence for -mixing sequences of random variables. As a ...
12 pagesInternational audienceIn 1983, N. Herrndorf proved that for a $\phi$-mixing sequence satisfy...
AbstractUniform and nonuniform Berry-Esseen bounds are given for strongly mixing and uniformly mixin...
101 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1982.Assume that F is a distributi...
We improve an almost sure invariance principle for f-mixing sequences of real random variables with ...
For a strictly stationary sequence {Xi} define , where Fn and F are the empirical distribution funct...
In this paper we study the almost sure conditional central limit theorem in its functional form for ...
Sen (1974, Weak convergence of multidimensional empirical processes for stationary [phi]-mixing proc...
An almost sure invariance principle for stationary mixing sequences of random variables with mean ze...
Abstract. We present a generalization of the Baum-Katz theorem for ϕ-mixing sequences of random vari...
In this paper, the complete convergence and weak law of large numbers are established for -mixing s...