The above defines a " dispersion index for counts ".
2.
Common usage is that " index of dispersion " means the dispersion index for counts.
3.
A different definition applies for a " dispersion index for intervals ", where the quantities treated are the lengths of the time-intervals between the events.
4.
A sample-based estimate of the dispersion index can be used to construct a formal statistical hypothesis test for the adequacy of the model that a series of counts follow a Poisson distribution.
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