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Bunching parameter
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Bunching parameter : ウィキペディア英語版
Bunching parameter

In statistics as applied in particular in particle physics, when fluctuations of some observables are measured,
it is convenient to transform the multiplicity distribution to the bunching parameters:
:
\eta_q =
\frac\frac^2},

where P_n is probability of observing
n objects inside of some phase space regions.
The bunching parameters measure deviations of
the multiplicity distribution P_n
from a Poisson distribution, since
for this distribution
:\eta_q=1.
Uncorrelated particle production leads
to the Poisson statistics, thus
deviations of the bunching parameters from the Poisson values
mean correlations between particles and dynamical fluctuations.
Normalised factorial moments
have also similar properties.
They are defined as
:
F_q =\langle n \rangle^
\sum^_ \frac P_n.

==Numeric implementation==

Bunching parameters and normalized factorial moments are included to the DataMelt program for data analysis and scientific computing.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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