182 citations · 508 across the 28 of their papers we have counts for
9 papers · 1 filter
Random walks on the circle and Diophantine approximation
Istvan Berkes, Bence Borda
Random walks on the circle group whose elementary steps are lattice variables with span or taken mod …
On the discrepancy of random subsequences of II
Istvan Berkes, Bence Borda
Let be an irrational number, let be independent, identically distributed, integer-valued random variables, and put . Assuming that $X_1…
Lacunary series and stable distributions
I. Berkes, R. Tichy
By well known results of probability theory, any sequence of random variables with bounded second moments has a subsequence satisfying the central limit theorem and the law of the…
On permutation-invariance of limit theorems
I. Berkes, R. Tichy
By a classical principle of probability theory, sufficiently thin subsequences of general sequences of random variables behave like i.i.d.\ sequences. This observation not only exp…
Paul Lévy, strong approximation and the St. Petersburg paradox
István Berkes
This paper discusses a forgotten remark of Paul Lévy (1935), determining the asymptotic distribution of sums of i.i.d. random variables with tails , where …
Tail probabilities of St. Petersburg sums, trimmed sums, and their limit
István Berkes, László Györfi, Péter Kevei
We provide exact asymptotics for the tail probabilities as , for fix , where is the -trimmed partial sum of i.i.d. St. Pe…