  The binomial acceptance correction procedure is studied for particle number
distributions detected in high energy reactions in finite regions of the
momentum space. We present acceptance correction formulas for scaled variance,
skewness, and kurtosis. Our considerations include various specific types of
particles - positively or negatively charged, baryons and antibaryons - as well
as conserved charges, namely, the net baryon number and electric charge. A
simple model with effects of exact charge conservation, namely the Bessel
distribution, is studied in some detail where effects of multi-particle
correlations are present. The accuracy of the binomial filter is studied with
UrQMD model simulations of inelastic proton-proton reactions. Binomial
acceptance correction procedure works well when used inside a small region of
phase space as well as for certain efficiency corrections, in particular for
constructing net proton fluctuation from net baryon ones. Its performance is
less accurate when applied to obtain UrQMD fluctuations in a finite rapidity
window from fluctuations in the full $4\pi$ space.
