AbstractA sequence of independent, identically distributed random vectors X1, X2, X3,… is said to belong to the domain of attraction of a random vector Y is there exist linear operators An and constant vectors bn such that An(X1,…, Xn)+bn converges in distribution to Y. We present a simple, necessary, and sufficient condition for the existence of such An, Bn in the case where Y has no normal component
It is proved that if the multivariate Student t-statistic based on i.i.d. symmetric random vectors i...
"By definition any stable distribution is semistable. For the converse relation we will show that ce...
Many statistics are based on functions of sample moments. Important examples are the sample variance...
A sequence of independent, identically distributed random vectors Xl> X 2, X 3, ••• is said to be...
A sequence of independent, identically distributed random vectors X1, X2, X3,... is said to belong t...
AbstractA sequence of independent, identically distributed random vectors X1, X2, X3,… is said to be...
AbstractBounds on the norming operators for distributions in the domain of attraction of an operator...
A sequence of the independent, identically distributed r and om vectors X(,1),X(,2),X(,3),..., is sa...
Let be a sequence of independent random variables with common distribution and define the iteration ...
õ0.ABSTRACT. Let X be a random variable with density function which is continuous and nonzero at 0. ...
In this article we study the max domains of attraction of distributions of sums of independent rando...
For data belonging to the domain of normal attraction of nonnormal operator stable laws we present a...
AbstractGut and Spătaru (J. Math. Anal. Appl. 248 (2000) 233–246) proved a precise asymptotic theore...
AbstractBivariate stable distributions are defined as those having a domain of attraction, where vec...
Let {X,Xn, n[greater-or-equal, slanted]1} be a sequence of independent and identically distributed p...
It is proved that if the multivariate Student t-statistic based on i.i.d. symmetric random vectors i...
"By definition any stable distribution is semistable. For the converse relation we will show that ce...
Many statistics are based on functions of sample moments. Important examples are the sample variance...
A sequence of independent, identically distributed random vectors Xl> X 2, X 3, ••• is said to be...
A sequence of independent, identically distributed random vectors X1, X2, X3,... is said to belong t...
AbstractA sequence of independent, identically distributed random vectors X1, X2, X3,… is said to be...
AbstractBounds on the norming operators for distributions in the domain of attraction of an operator...
A sequence of the independent, identically distributed r and om vectors X(,1),X(,2),X(,3),..., is sa...
Let be a sequence of independent random variables with common distribution and define the iteration ...
õ0.ABSTRACT. Let X be a random variable with density function which is continuous and nonzero at 0. ...
In this article we study the max domains of attraction of distributions of sums of independent rando...
For data belonging to the domain of normal attraction of nonnormal operator stable laws we present a...
AbstractGut and Spătaru (J. Math. Anal. Appl. 248 (2000) 233–246) proved a precise asymptotic theore...
AbstractBivariate stable distributions are defined as those having a domain of attraction, where vec...
Let {X,Xn, n[greater-or-equal, slanted]1} be a sequence of independent and identically distributed p...
It is proved that if the multivariate Student t-statistic based on i.i.d. symmetric random vectors i...
"By definition any stable distribution is semistable. For the converse relation we will show that ce...
Many statistics are based on functions of sample moments. Important examples are the sample variance...
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