Fano factor
In statistics, the Fano factor, like the coefficient of variation, is a measure of the dispersion of a probability distribution of a Fano noise. It is named after Ugo Fano, an Italian American physicist.

The Fano factor is defined as

:formula_1

where formula_2 is the variance and formula_3 is the mean of a random process in some time window "W". The Fano factor can be viewed as a kind of noise-to-signal ratio; it is a measure of the reliability with which the random variable could be estimated from a time window that on average contains several random events.

For a Poisson process, the variance in the count equals the mean count, so "F" = 1 (normalization).

If the time window is chosen to be infinity, the Fano factor is similar to the variance-to-mean ratio (VMR) which in statistics is also known as the index of dispersion.
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coefficient of variation
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Ugo Fano
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index of dispersion
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Fano factor
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Fano factor
Concept
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Fano factor
Concept
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Fano factor
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