AbstractLet X,X1,X2,… be i.i.d. nondegenerate random variables with zero means, Sn=∑j=1nXj and Vn2=∑j=1nXj2. We investigate the precise asymptotics in the law of the iterated logarithm for self-normalized sums, Sn/Vn, also for the maximum of self-normalized sums, max1⩽k⩽n|Sk|/Vn, when X belongs to the domain of attraction of the normal law
Let (Xn) be a sequence of independent and identically distributed non-negative valued random variabl...
AbstractLet {Xi,i≥1} be a sequence of i.i.d. random variables which is in the domain of attraction o...
Let X,X1,X2,… be a sequence of independent and identically distributed random variables in the domai...
Abstract. LetX,X1, X2,... be i.i.d. random variables with zero means, variance one, and set Sn = P
Abstract. Let fXi; i 1g be a sequence of i.i.d. nondegenerate random variables which is in the doma...
AbstractLet {X,Xi;i⩾1} be a sequence of independent and identically distributed positive random vari...
AbstractLet X,X1,X2,… be a sequence of nondegenerate i.i.d. random variables with zero means. Set Sn...
AbstractLet {X,Xn;n⩾1} be a sequence of real-valued i.i.d. random variables with E(X)=0 and E(X2)=1,...
For a sequence of independent symmetric Banach space valued random variables {Xn,n[greater-or-equal,...
AbstractLet X,X1,X2,… be a sequence of nondegenerate i.i.d. random variables with zero means, set Sn...
AbstractLet {X, Xn; n ≥ 1} be a sequence of i.i.d. random variables. Set Sn = X1 + X2 + … + Xn and M...
By an inequality of partial sum and uniform convergence of the central limit theorem under sublinear...
Let X-1,X-2, ... be a sequence of independent random variables (r.v.s) belonging to the domain of at...
Consider a sequence of independent and identically distributed random vari-ables with the underlying...
Abstract. Let {S,},"=, denote the partial sums of i.i.d. random variables with mean 0. The pres...
Let (Xn) be a sequence of independent and identically distributed non-negative valued random variabl...
AbstractLet {Xi,i≥1} be a sequence of i.i.d. random variables which is in the domain of attraction o...
Let X,X1,X2,… be a sequence of independent and identically distributed random variables in the domai...
Abstract. LetX,X1, X2,... be i.i.d. random variables with zero means, variance one, and set Sn = P
Abstract. Let fXi; i 1g be a sequence of i.i.d. nondegenerate random variables which is in the doma...
AbstractLet {X,Xi;i⩾1} be a sequence of independent and identically distributed positive random vari...
AbstractLet X,X1,X2,… be a sequence of nondegenerate i.i.d. random variables with zero means. Set Sn...
AbstractLet {X,Xn;n⩾1} be a sequence of real-valued i.i.d. random variables with E(X)=0 and E(X2)=1,...
For a sequence of independent symmetric Banach space valued random variables {Xn,n[greater-or-equal,...
AbstractLet X,X1,X2,… be a sequence of nondegenerate i.i.d. random variables with zero means, set Sn...
AbstractLet {X, Xn; n ≥ 1} be a sequence of i.i.d. random variables. Set Sn = X1 + X2 + … + Xn and M...
By an inequality of partial sum and uniform convergence of the central limit theorem under sublinear...
Let X-1,X-2, ... be a sequence of independent random variables (r.v.s) belonging to the domain of at...
Consider a sequence of independent and identically distributed random vari-ables with the underlying...
Abstract. Let {S,},"=, denote the partial sums of i.i.d. random variables with mean 0. The pres...
Let (Xn) be a sequence of independent and identically distributed non-negative valued random variabl...
AbstractLet {Xi,i≥1} be a sequence of i.i.d. random variables which is in the domain of attraction o...
Let X,X1,X2,… be a sequence of independent and identically distributed random variables in the domai...
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