  First, we present a concise glossary of formulas for composition of standard,
cumulant, factorial, and factorial cumulant moments in superposition (compound)
models, where final particles are created via independent emission from a
collection of sources. Explicit mathematical formulas for the composed moments
are given to all orders. We discuss the composition laws for various types of
moments via the generating-function methods and list the formulas for the
unfolding of the unwanted fluctuations. Second, the technique is applied to the
difference of the scaled multiplicities of two particle types. This allows us
for a systematic derivation and a simple algebraic interpretation of the
so-called strongly intensive fluctuation measures. With the help of the
formalism we obtain several new strongly intensive measures involving
higher-rank moments. The reviewed as well as the new results may be useful in
investigations of mechanisms of particle production and event-by-event
fluctuations in high-energy nuclear and hadronic collisions, and in particular
in the search for signatures of the QCD phase transition at a finite baryon
density.
