I. Berkes

activity

20042026

most citedThe efficiency of the estimators of the parameters in GARCH processes

182 citations · 508 across the 28 of their papers we have counts for

collaborators

Showing 2014 · math.NTShow all

3 papers · 2 filters

math.NT2014

On the asymptotic behavior of weakly lacunary series

Christoph Aistleitner, Istvan Berkes, Robert Tichy

Let $f$ be a measurable function satisfying $f (x + 1) = f (x), \int_{0}^{1} f (x) d x = 0, Var f < + \infty,$ and let $(n_{k})_{k \geq 1}$ be a sequence of integers satisf…

math.NT2014

Lacunary sequences and permutations

Christoph Aistleitner, Istvan Berkes, Robert Tichy

By a classical principle of analysis, sufficiently thin subsequences of general sequences of functions behave like sequences of independent random variables. This observation not o…

math.NT2014★ 2 cited

On permutations of Hardy-Littlewood-Pólya sequences

Christoph Aistleitner, Istvan Berkes, Robert Tichy

Let $H = (q_{1}, \dots q_{r})$ be a finite set of coprime integers and let $n_{1}, n_{2}, \dots$ denote the multiplicative semigroup generated by $H$ and arranged in increasing…