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math.CO2020
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…
math.CO2016
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…