Identity Method for Moments of Multiplicity Distribution

An incomplete particle identification distorts the event-by-event fluctuations of the hadron chemical composition. Recently the identity method was proposed to calculate second moments of the multiplicity distribution from event-by-event measurements in the presence of the effects of incomplete particle identification. In this paper the method is extended for higher moments. The moments of smeared multiplicities are calculated using single-particle identity variables. The problem of finding the moments of the multiplicity distributions is therefore reduced to solving of the systems of linear equations