  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 $\bar{\pt}$ can be extracted, and the anomalous scaling of
dynamical distribution, if exists, can be recovered, through event-by-event
analysis of experimental data.

High Energy Physics - Phenomenology