AbstractGut and Spătaru (J. Math. Anal. Appl. 248 (2000) 233–246) proved a precise asymptotic theorem for random variables in the normal domain of attraction of some stable distribution with exponent α, 1<α⩽2. They also conjectured that the theorem should hold for the general case of the domain of attraction of a stable distribution. In this paper, we shall provide an example to deny their conjecture and study some further properties
AbstractBounds on the norming operators for distributions in the domain of attraction of an operator...
AbstractWe show that most random walks in the domain of attraction of a symmetric stable law have a ...
AbstractA sequence of independent, identically distributed random vectors X1, X2, X3,… is said to be...
õ0.ABSTRACT. Let X be a random variable with density function which is continuous and nonzero at 0. ...
AbstractGut and Spătaru (J. Math. Anal. Appl. 248 (2000) 233–246) proved a precise asymptotic theore...
We define the appropriate analogue of Student's t-statistic for multivariate data, and prove that it...
A sequence of independent, identically distributed random vectors X1, X2, X3,... is said to belong t...
We consider independent random variables Xn with a common distribution function F in the domain of a...
AbstractLet X,X1,X2,… be a sequence of i.i.d. random variables such that EX=0, let Z be a random var...
A sequence of independent, identically distributed random vectors Xl> X 2, X 3, ••• is said to be...
AbstractLet X1,X2,… be i.i.d. random variables with distribution μ and with mean zero, whenever the ...
C. D. Hardin, Jr., G. Samorodnitsky, and M. S. Taqqu (1991,Ann. Appl. Probab. 1 582–612) have shown ...
In this article we study the max domains of attraction of distributions of sums of independent rando...
Let be a sequence of independent random variables with common distribution and define the iteration ...
In the paper ``A hypothesis test for the domain of attraction of a random variable'' we address theo...
AbstractBounds on the norming operators for distributions in the domain of attraction of an operator...
AbstractWe show that most random walks in the domain of attraction of a symmetric stable law have a ...
AbstractA sequence of independent, identically distributed random vectors X1, X2, X3,… is said to be...
õ0.ABSTRACT. Let X be a random variable with density function which is continuous and nonzero at 0. ...
AbstractGut and Spătaru (J. Math. Anal. Appl. 248 (2000) 233–246) proved a precise asymptotic theore...
We define the appropriate analogue of Student's t-statistic for multivariate data, and prove that it...
A sequence of independent, identically distributed random vectors X1, X2, X3,... is said to belong t...
We consider independent random variables Xn with a common distribution function F in the domain of a...
AbstractLet X,X1,X2,… be a sequence of i.i.d. random variables such that EX=0, let Z be a random var...
A sequence of independent, identically distributed random vectors Xl> X 2, X 3, ••• is said to be...
AbstractLet X1,X2,… be i.i.d. random variables with distribution μ and with mean zero, whenever the ...
C. D. Hardin, Jr., G. Samorodnitsky, and M. S. Taqqu (1991,Ann. Appl. Probab. 1 582–612) have shown ...
In this article we study the max domains of attraction of distributions of sums of independent rando...
Let be a sequence of independent random variables with common distribution and define the iteration ...
In the paper ``A hypothesis test for the domain of attraction of a random variable'' we address theo...
AbstractBounds on the norming operators for distributions in the domain of attraction of an operator...
AbstractWe show that most random walks in the domain of attraction of a symmetric stable law have a ...
AbstractA sequence of independent, identically distributed random vectors X1, X2, X3,… is said to be...
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