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- Fano_factor abstract "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 aswhere is the variance and is the mean of a random process in some time window . 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 (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.In particle detectors, the Fano Factor results from the energy loss in a collision not being purely statistical. The process giving rise to each individual charge carrier is not independent as the number of ways an atom may be ionized is limited by the discrete electron shells. The net result is a better energy resolution than predicted by purely statistical considerations. For example, if is the average energy for a particle to produce a charge carrier in a detector, then the FWHM resolution for measuring the particle energy is:where the factor of 2.35 relates the standard deviation to the FWHM.The Fano factor is material specific. Some theoretical values are:Measuring the Fano factor is difficult because many factors contribute to the resolution, but some experimental values are:".
- Fano_factor wikiPageID "3671126".
- Fano_factor wikiPageRevisionID "604629090".
- Fano_factor hasPhotoCollection Fano_factor.
- Fano_factor subject Category:Statistical_deviation_and_dispersion.
- Fano_factor subject Category:Statistical_ratios.
- Fano_factor type Abstraction100002137.
- Fano_factor type MagnitudeRelation113815152.
- Fano_factor type Ratio113819207.
- Fano_factor type Relation100031921.
- Fano_factor type StatisticalRatios.
- Fano_factor comment "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 aswhere is the variance and is the mean of a random process in some time window .".
- Fano_factor label "Dispersionsindex".
- Fano_factor label "Fano factor".
- Fano_factor label "ファノ因子".
- Fano_factor sameAs Dispersionsindex.
- Fano_factor sameAs ファノ因子.
- Fano_factor sameAs m.09tkyx.
- Fano_factor sameAs Q638874.
- Fano_factor sameAs Q638874.
- Fano_factor sameAs Fano_factor.
- Fano_factor wasDerivedFrom Fano_factor?oldid=604629090.
- Fano_factor isPrimaryTopicOf Fano_factor.