Extracting event dynamics from event-by-event analysis

The problem of eliminating the statistical fluctuations and extracting the event dynamics from event-by-event analysis is discussed. New moments G_p (for continuous distribution) and G_q,p (for anomalous distribution) are proposed, which are experimentally measurable and can eliminate the Poissonian-type statistical fluctuations to recover the dynamical moments C_p and C_q,p. In this way, the dynamical distribution of the event-averaged transverse momentum p̅ _t can be extracted, and the anomalous scaling of dynamical distribution, if it exists, can be recovered, through event-by-event analysis of experimental data.