  A statistical (thermal) model is applied to the description of hadron yields
measured at central nucleus-nucleus collisions at the top RHIC energy
$\sqrt{s_{NN}} = 200$ GeV and the LHC energy $\sqrt{s_{NN}} = 2.76$ TeV. In
contrast to the previous analyzes a more general form of the least squares test
statistic is used, which takes into account also possible correlations between
different species of yields. In addition to hadrons also light nuclei are
included in the fits. Because of the lack of data, a toy model is constructed
where the correlation coefficients are just free parameters. Because of this
the presented considerations are speculative and should be treated as an
imperfect illustration of the problem. Within these limitations it is
impossible to formulate any definite conclusion, it might be only mentioned
that for the considered examples the dependence of the freeze-out temperature
and baryon chemical potential on correlations turned out to be weak.
