Let be a sequence of independent and identically distributed (i.i.d.) random variables and denote , . In this paper, we investigate the almost sure central limit theorem in the joint version for the maxima and sums. If for some numerical sequences , we have for a nondegenerate distribution , and is a bounded Lipschitz 1 function, then almost surely, where stands for the standard normal distribution function, ,and , .</p
In this paper, we study almost sure central limit theorems for sequences of functionals of general G...
AbstractLet {Xi,i≥1} be a sequence of i.i.d. random variables which is in the domain of attraction o...
In this paper, we study almost sure central limit theorems for sequences of functionals of general G...
Considering a sequence of standardized stationary Gaussian random variables, a universal result in t...
Abstract. The purpose of this paper is the proof of an almost sure central limit theorem for subsequ...
AbstractLet X,X1,X2,… be a sequence of independent and identically distributed positive random varia...
Let X,X1,X2,… be a sequence of independent and identically distributed random variables in the domai...
The classical Central Limit Theorem (CLT) is one of the most fundamental results in statistics. It s...
Let {}n n NX ∈ be a strictly stationary sequence of ρ−-mixing random variables. We proved the almos...
Let X1, X2,... be independent, identically distributed random variables with EX1 = 0, EX12 = 1 and l...
Let $¥{X_{n)}n¥geq 1¥}$ be a sequence of symmetric pairwise independent and identically distributed ...
We derive a central limit theorem for sums of a function of independent sums of independent and iden...
We derive a central limit theorem for sums of a function of independent sums of independent and iden...
We derive a central limit theorem for sums of a function of independent sums of independent and iden...
We derive a central limit theorem for sums of a function of independent sums of independent and iden...
In this paper, we study almost sure central limit theorems for sequences of functionals of general G...
AbstractLet {Xi,i≥1} be a sequence of i.i.d. random variables which is in the domain of attraction o...
In this paper, we study almost sure central limit theorems for sequences of functionals of general G...
Considering a sequence of standardized stationary Gaussian random variables, a universal result in t...
Abstract. The purpose of this paper is the proof of an almost sure central limit theorem for subsequ...
AbstractLet X,X1,X2,… be a sequence of independent and identically distributed positive random varia...
Let X,X1,X2,… be a sequence of independent and identically distributed random variables in the domai...
The classical Central Limit Theorem (CLT) is one of the most fundamental results in statistics. It s...
Let {}n n NX ∈ be a strictly stationary sequence of ρ−-mixing random variables. We proved the almos...
Let X1, X2,... be independent, identically distributed random variables with EX1 = 0, EX12 = 1 and l...
Let $¥{X_{n)}n¥geq 1¥}$ be a sequence of symmetric pairwise independent and identically distributed ...
We derive a central limit theorem for sums of a function of independent sums of independent and iden...
We derive a central limit theorem for sums of a function of independent sums of independent and iden...
We derive a central limit theorem for sums of a function of independent sums of independent and iden...
We derive a central limit theorem for sums of a function of independent sums of independent and iden...
In this paper, we study almost sure central limit theorems for sequences of functionals of general G...
AbstractLet {Xi,i≥1} be a sequence of i.i.d. random variables which is in the domain of attraction o...
In this paper, we study almost sure central limit theorems for sequences of functionals of general G...