Add to ORKGWe consider a uniformly bounded sequence c_j(l) of positive numbers depending on a parameter L. They become "dense" as L tends to infinity and we study the existence of various limits of expressions depending on them. The results are obtained making use of the statistical mechanics interpretation of the expression
Let $X_i,\ i=1,2,\dots$ be real-valued {\sl i.i.d.} variables with a compactly supported density. Un...
In this paper, we establish a new limit theorem for partial sums of random variables. As corollaries...
AbstractErdős and Sárkőzy proposed the problem of determining the maximal density attainable by a se...
International audienceIn this paper, we are interested in the limit theorem question for sums of ind...
An SSD-sequence of integers is one in which each subset is uniquely determined by its sum. Such sequ...
AbstractK. Thanigasalam has shown that for any positive integer k the sequence of positive integers ...
AbstractWe show that if a sequence of dense graphs Gn has the property that for every fixed graph F,...
We define strong and weak affinities of a number a for a sequence (xk) denoted by L(a,(xk)) and U(...
This paper studies the limit behaviour of sums of the form Tn(x)=∑1≤j≤nckj(x),(n=1,2,…)where (cj(x))...
Abstmct. We present an integral test to determine the limiting behavior of weighted sums of i.i.d. R...
In this work we investigate the asymptotic behaviour of weighted partial sums of a particular class ...
Let {X,Xn, n[greater-or-equal, slanted]1} be a sequence of independent and identically distributed p...
We consider a totally monotone capacity on a Polish space and a sequence of bounded p.i.i.d. random ...
AbstractLet 1=d1(n)<d2(n)<⋯<dτ(n)=n be the sequence of all positive divisors of the integer n in inc...
We prove that the distribution of the sum of N identically distributed jointly lognormal random vari...
Let $X_i,\ i=1,2,\dots$ be real-valued {\sl i.i.d.} variables with a compactly supported density. Un...
In this paper, we establish a new limit theorem for partial sums of random variables. As corollaries...
AbstractErdős and Sárkőzy proposed the problem of determining the maximal density attainable by a se...
International audienceIn this paper, we are interested in the limit theorem question for sums of ind...
An SSD-sequence of integers is one in which each subset is uniquely determined by its sum. Such sequ...
AbstractK. Thanigasalam has shown that for any positive integer k the sequence of positive integers ...
AbstractWe show that if a sequence of dense graphs Gn has the property that for every fixed graph F,...
We define strong and weak affinities of a number a for a sequence (xk) denoted by L(a,(xk)) and U(...
This paper studies the limit behaviour of sums of the form Tn(x)=∑1≤j≤nckj(x),(n=1,2,…)where (cj(x))...
Abstmct. We present an integral test to determine the limiting behavior of weighted sums of i.i.d. R...
In this work we investigate the asymptotic behaviour of weighted partial sums of a particular class ...
Let {X,Xn, n[greater-or-equal, slanted]1} be a sequence of independent and identically distributed p...
We consider a totally monotone capacity on a Polish space and a sequence of bounded p.i.i.d. random ...
AbstractLet 1=d1(n)<d2(n)<⋯<dτ(n)=n be the sequence of all positive divisors of the integer n in inc...
We prove that the distribution of the sum of N identically distributed jointly lognormal random vari...
Let $X_i,\ i=1,2,\dots$ be real-valued {\sl i.i.d.} variables with a compactly supported density. Un...
In this paper, we establish a new limit theorem for partial sums of random variables. As corollaries...
AbstractErdős and Sárkőzy proposed the problem of determining the maximal density attainable by a se...