5 citations · 5 across the 2 of their papers we have counts for
4 papers
A sharp inequality for the variance with respect to the Ewens Sampling Formula
Zygimantas Baronenas, Eugenijus Manstavicius, Patricija Sapokaite
The variance of a linear statistic defined on the symmetric group endowed with the Ewens probability is examined. Despite the dependence of the summands, it can be bounded from abo…
Variance of additive functions defined on random assemblies
Eugenijus Manstavicius, Vytautas Stepas
An inequality for the variance of an additive function defined on random decomposable structures, called assemblies, is established. The result generalizes estimates obtained earli…
Local probabilities for random permutations without long cycles
Eugenijus Manstavičius, Robertas Petuchovas
We explore the probability that a permutation sampled from the symmetric group of order n uniformly at random has cycles of lengths not exceeding r. Asymptotic formulas valid in sp…
Strong Convergence on Weakly Logarithmic Combinatorial Assemblies
Eugenijus Manstavičius
We deal with the random combinatorial structures called assemblies. By weakening the logarithmic condition which assures regularity of the number of components of a given order, we…