arXiv subjects

Eugenijus Manstavicius

Publications and source records attributed to Eugenijus Manstavicius.

2 recordsLinked to original sources

arXiv2020

A sharp inequality for the variance with respect to the Ewens Sampling Formula

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 above by a constant multiple of the sum of variances. We find the exact value of this constant. The analysis of the appearing quadratic forms and eigenvalue search is built upon the exponential matrices and discrete Hahn's polynomials.

math.CO↗

arXiv2016

Variance of additive functions defined on random assemblies

An inequality for the variance of an additive function defined on random decomposable structures, called assemblies, is established. The result generalizes estimates obtained earlier in the cases of permutations and mappings of a finite set into itself. It is analogous to the Turán-Kubilius inequality for additive number-theoretic functions.

math.CO↗