AbstractLet X1,X2,… be a strictly stationary sequence of ρ-mixing random variables with mean zeros and positive, finite variances, set Sn=X1+⋯+Xn. Suppose that limn→∞ESn2/n=σ2>0, ∑n=1∞ρ2/q(2n)<∞, where q>2δ+2. We prove that, if EX12(log+|X1|)δ<∞ for any 0<δ⩽1, thenlimϵ↓0ϵ2δ∑n=2∞(logn)δ−1n2ESn2I(|Sn|⩾ϵσnlogn)=E|N|2δ+2δ, where N is the standard normal random variable
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AbstractLet {X, Xn; n ≥ 1} be a sequence of i.i.d. random variables. Set Sn = X1 + X2 + … + Xn and M...
Abstract. Let {Xn, n 1} be a sequence of independent random variables with finite second moments an...
Abstract. Exponential inequality and complete convergence for ρ̃-mixing sequence are given. By using...
In this paper, we study the almost sure convergence for -mixing sequences of random variables. As a ...
In the paper we extend and generalize some results of complete moment convergence results (or the re...
AbstractLet (Xj, j ≥ 1) be a strictly stationary sequence of uniformly mixing random variables with ...
In the present paper, the sufficient and necessary conditions of the complete convergence and comple...
Abstract Let r≥1 $r\geq1$, 1≤p0 $\alpha, \beta>0$ with 1/α+1/β=1/p $1/\alpha+1/\beta=1/p$. Let {ank,...
AbstractLet X,X1,X2,… be a sequence of nondegenerate i.i.d. random variables with zero means, set Sn...
AbstractAn almost sure invariance principle for stationary mixing sequences of random variables with...
Let X1, X2,... be a strictly stationary and negatively associated sequence of random variables with ...
AbstractUniform and nonuniform Berry-Esseen bounds are given for strongly mixing and uniformly mixin...
AbstractLet (Xn)nϵN be a sequence of real, independent, not necessarily identically distributed rand...
Abstract Let {X,Xn,n≥1} $\{X, X_{n}, n\geq1\}$ be a sequence of i.i.d. random variables with EX=0 $E...
A central limit theorem and a functional central limit theorem are obtained for weighted linear proc...
AbstractLet {X, Xn; n ≥ 1} be a sequence of i.i.d. random variables. Set Sn = X1 + X2 + … + Xn and M...
Abstract. Let {Xn, n 1} be a sequence of independent random variables with finite second moments an...
Abstract. Exponential inequality and complete convergence for ρ̃-mixing sequence are given. By using...
In this paper, we study the almost sure convergence for -mixing sequences of random variables. As a ...
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