AbstractWe consider linear combinations of independent identically distributed random variables in Lp, q. In fact, we provide several norm inequalities for sums from a larger class of equidistributed random variables
The properties of $L_2$-approximable sequences established here form a complete toolkit for statisti...
The final version of this paper appears in: "Annals of Probability" 23 (1995): 806-816. Print.In thi...
AbstractFor any class Q of distributions on Rd, let L(Q) be the class of limit distributions of bn−1...
AbstractWe consider linear combinations of independent identically distributed random variables in L...
We investigate random variables in Lorentz spaces L. Conditions on the characteristic function are o...
AbstractThe paper deals with the invariance principle for sums of independent identically distribute...
ABSTRACT. A moment inequality is proved for sums of independent random variables in the Lorentz spac...
A moment inequality is proved for sums of independent random variables in the Lorentz spaces LPtq, t...
sums of independent random variables (Lévy’s inequality, Ottaviani’s inequality, Jensen’s inequalit...
The final version of this paper appears in: "Annals of Probability" 29 (2001): 447-466. Print.This p...
ABSTRACT: Let Sk be the k-th partial sum of Banach space valued indepen-dent identically distributed...
AbstractWe give a comparison inequality that allows one to estimate the tail probabilities of sums o...
Abstract. Let X•,...,X,•,... be a sequence of independent not necessar-ily identically distributed r...
summary:This note deals with the orthogonality between sequences of random variables. The main idea ...
The tail probability inequalities for the sum of independent unbounded random variables on a probabi...
The properties of $L_2$-approximable sequences established here form a complete toolkit for statisti...
The final version of this paper appears in: "Annals of Probability" 23 (1995): 806-816. Print.In thi...
AbstractFor any class Q of distributions on Rd, let L(Q) be the class of limit distributions of bn−1...
AbstractWe consider linear combinations of independent identically distributed random variables in L...
We investigate random variables in Lorentz spaces L. Conditions on the characteristic function are o...
AbstractThe paper deals with the invariance principle for sums of independent identically distribute...
ABSTRACT. A moment inequality is proved for sums of independent random variables in the Lorentz spac...
A moment inequality is proved for sums of independent random variables in the Lorentz spaces LPtq, t...
sums of independent random variables (Lévy’s inequality, Ottaviani’s inequality, Jensen’s inequalit...
The final version of this paper appears in: "Annals of Probability" 29 (2001): 447-466. Print.This p...
ABSTRACT: Let Sk be the k-th partial sum of Banach space valued indepen-dent identically distributed...
AbstractWe give a comparison inequality that allows one to estimate the tail probabilities of sums o...
Abstract. Let X•,...,X,•,... be a sequence of independent not necessar-ily identically distributed r...
summary:This note deals with the orthogonality between sequences of random variables. The main idea ...
The tail probability inequalities for the sum of independent unbounded random variables on a probabi...
The properties of $L_2$-approximable sequences established here form a complete toolkit for statisti...
The final version of this paper appears in: "Annals of Probability" 23 (1995): 806-816. Print.In thi...
AbstractFor any class Q of distributions on Rd, let L(Q) be the class of limit distributions of bn−1...
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