summary:We characterize statistical independence of sequences by the $L^p$-discrepancy and the Wiener $L^p$-discrepancy. Furthermore, we find asymptotic information on the distribution of the $L^2$-discrepancy of sequences
The article further develops Kolmogorov's algorithmic complexity theory. The definition of randomnes...
We introduce the concepts of the lacunary statistical convergence of sequences of real-valued functi...
When an i.i.d. sequence of letters is cut into words according to i.i.d. renewal times, an i.i.d. se...
summary:We characterize statistical independence of sequences by the $L^p$-discrepancy and the Wiene...
When testing that a sample of n points in the unit hypercube [0, 1](d) comes from a uniform distribu...
AbstractWe investigate the limit behavior of the average Lp–B-discrepancy for 0<p<∞ if the number of...
International audienceWithout imposing any conditions on dependence structure, we give a seemingly o...
The Paul Erdős-Turán inequality is used as a quantitative form of Weyl' s criterion, together with o...
In this thesis we study the problem of finding explicit constructions for low-dimensional finite poi...
ABSTRACT. In this paper a notion of statistical independence of sequences of integers is developed. ...
The main purpose of this book is to give an overview of the developments during the last 20 years in...
In this paper a notion of statistical independence of sequences of integers is developed. The result...
<p>Statistics describing the distribution of different properties of each sequenced individual.</p
When testing that a sample of n points in the unit hypercube [0, 1]d comes from a uniform distributi...
In this work, we consider the problems of testing whether a distribution over {0, 1} n is k-wise (re...
The article further develops Kolmogorov's algorithmic complexity theory. The definition of randomnes...
We introduce the concepts of the lacunary statistical convergence of sequences of real-valued functi...
When an i.i.d. sequence of letters is cut into words according to i.i.d. renewal times, an i.i.d. se...
summary:We characterize statistical independence of sequences by the $L^p$-discrepancy and the Wiene...
When testing that a sample of n points in the unit hypercube [0, 1](d) comes from a uniform distribu...
AbstractWe investigate the limit behavior of the average Lp–B-discrepancy for 0<p<∞ if the number of...
International audienceWithout imposing any conditions on dependence structure, we give a seemingly o...
The Paul Erdős-Turán inequality is used as a quantitative form of Weyl' s criterion, together with o...
In this thesis we study the problem of finding explicit constructions for low-dimensional finite poi...
ABSTRACT. In this paper a notion of statistical independence of sequences of integers is developed. ...
The main purpose of this book is to give an overview of the developments during the last 20 years in...
In this paper a notion of statistical independence of sequences of integers is developed. The result...
<p>Statistics describing the distribution of different properties of each sequenced individual.</p
When testing that a sample of n points in the unit hypercube [0, 1]d comes from a uniform distributi...
In this work, we consider the problems of testing whether a distribution over {0, 1} n is k-wise (re...
The article further develops Kolmogorov's algorithmic complexity theory. The definition of randomnes...
We introduce the concepts of the lacunary statistical convergence of sequences of real-valued functi...
When an i.i.d. sequence of letters is cut into words according to i.i.d. renewal times, an i.i.d. se...
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