  The study of multiplicity distributions of identified particles in terms of
their higher moments is at the focus of contemporary experimental and
theoretical studies. In a thermalized system, combinations of these moments are
directly related to the Equation of State (EoS). The ultimate goal of the
experimental measurements in relativistic nuclear collisions is, by systematic
comparison to QCD and QCD inspired calculations, to probe the dynamics of
genuine phase transitions between a hadron gas and the quark-gluon plasma.
However, the comparison between experiment and theory is far from trivial,
because several non-dynamical effects on fluctuations need to be controlled
prior to a meaningful comparison to theoretical predictions. In this report we
present quantitative estimates for these non-dynamical contributions using the
Canonical Ensemble (CE) formulation of statistical mechanics. Together with
analytical formulas we provide also results from Monte Carlo (MC) simulations
within the CE and compare our predictions with the corresponding measurements
from the STAR experiment.
