  General formulas are presented for higher order cumulants of the conserved
charge statistical fluctuations inside the mixed phase. As a particular example
the van der Waals model in the grand canonical ensemble is used. The higher
order measures of the conserved charge fluctuations up to the hyperkurtosis are
calculated in a vicinity of the critical point (CP). The analysis includes both
the mixed phase region and the pure phases on the phase diagram. It is shown
that even-order fluctuation measures, e.g. scaled variance, kurtosis, and
hyperkurtosis, have only positive values in the mixed phase, and go to infinity
at the CP. For odd-order measures, such as skewness and hyperskewness, the
regions of positive and negative values are found near the left and right
binodals, respectively. The obtained results are discussed in a context of the
event-by-event fluctuation measurements in heavy-ion collisions.
