Add to ORKGApplication of the uniform distribution modulo1 In the bachelor work, we apply the notion of the uniform distribution for the proof of a limit theorem on the torus. Defined probability measure QN(A). Using this measure the limit theorem is proved. The limit theorem: suppose that the sequence is uniformly distributed modulo 1, then QN(A) converges to the Haar measure
This study gives detailed proofs of some limit theorems in probability which are important in theore...
A sufficient condition for the uniform modulus of continuity of a random field X = {X(t), t ∈ RN} is...
International audienceGiven an observation of the uniform empirical process alpha(n) its functional ...
In this thesis, we study the theory of uniform distribution of sequences of real numbers. We first g...
Let X1, X2,... be independent random variables and define . Let partition of into intervals , of any...
AbstractIn this paper we study the notion of s(N)-uniform distribution of sequences modulo 1 which s...
AbstractIf (xn) is a monotone sequence of reals that is uniformly distributed mod 1, then it is show...
AbstractLet X1, X2,… be independent random variables and define Sn≔∑i=1n Xi, n=1,2,…. Let partition ...
International audienceThe study of finite approximations of probability measures has a long history....
Let $(X-m)^\infty_1$ be a sequence of independent and identically distributed random variables. We g...
Let $(X-m)^\infty_1$ be a sequence of independent and identically distributed random variables. We g...
Let S := (s_1 < s_2 < . . . ) be a strictly increasing sequence of positive integers and denote e(β)...
Abstract. Motivated by problems from dynamic economic mod-els, we consider the problem of defining a...
We compare the following three notions of uniformity for a finitely additive probability measure on ...
28 pagesLet T be an ergodic automorphism of the d-dimensional torus T^d , and f be a continuous func...
This study gives detailed proofs of some limit theorems in probability which are important in theore...
A sufficient condition for the uniform modulus of continuity of a random field X = {X(t), t ∈ RN} is...
International audienceGiven an observation of the uniform empirical process alpha(n) its functional ...
In this thesis, we study the theory of uniform distribution of sequences of real numbers. We first g...
Let X1, X2,... be independent random variables and define . Let partition of into intervals , of any...
AbstractIn this paper we study the notion of s(N)-uniform distribution of sequences modulo 1 which s...
AbstractIf (xn) is a monotone sequence of reals that is uniformly distributed mod 1, then it is show...
AbstractLet X1, X2,… be independent random variables and define Sn≔∑i=1n Xi, n=1,2,…. Let partition ...
International audienceThe study of finite approximations of probability measures has a long history....
Let $(X-m)^\infty_1$ be a sequence of independent and identically distributed random variables. We g...
Let $(X-m)^\infty_1$ be a sequence of independent and identically distributed random variables. We g...
Let S := (s_1 < s_2 < . . . ) be a strictly increasing sequence of positive integers and denote e(β)...
Abstract. Motivated by problems from dynamic economic mod-els, we consider the problem of defining a...
We compare the following three notions of uniformity for a finitely additive probability measure on ...
28 pagesLet T be an ergodic automorphism of the d-dimensional torus T^d , and f be a continuous func...
This study gives detailed proofs of some limit theorems in probability which are important in theore...
A sufficient condition for the uniform modulus of continuity of a random field X = {X(t), t ∈ RN} is...
International audienceGiven an observation of the uniform empirical process alpha(n) its functional ...