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- Skellam_distribution abstract "The Skellam distribution is the discrete probability distribution of the difference of two statistically independent random variables and each having Poisson distributions with different expected values and . It is useful in describing the statistics of the difference of two images with simple photon noise, as well as describing the point spread distribution in sports where all scored points are equal, such as baseball, hockey and soccer.The distribution is also applicable to a special case of the difference of dependent Poisson random variables, but just the obvious case where the two variables have a common additive random contribution which is cancelled by the differencing: see Karlis & Ntzoufras (2003) for details and an application.The probability mass function for the Skellam distribution for a count difference from two Poisson-distributed variables with means and is given by:where Ik(z) is the modified Bessel function of the first kind. Note that since k is an integer we have that Ik(z)=I|k|(z).".
- Skellam_distribution thumbnail Skellam_distribution.svg?width=300.
- Skellam_distribution wikiPageExternalLink sici?sici=0952-8385%281937%29100%3A3%3C415%3ATFDOTD%3E2.0.CO%3B2-R.
- Skellam_distribution wikiPageExternalLink sici?sici=0952-8385%281946%29109%3A3%3C296%3ATFDOTD%3E2.0.CO%3B2-U.
- Skellam_distribution wikiPageExternalLink paper11.htm.
- Skellam_distribution wikiPageID "1192757".
- Skellam_distribution wikiPageRevisionID "605274320".
- Skellam_distribution hasPhotoCollection Skellam_distribution.
- Skellam_distribution median "N/A".
- Skellam_distribution name "Skellam".
- Skellam_distribution pdfImage "(Examples of the probability mass function for the Skellam distribution. The horizontal axis is the index k. )".
- Skellam_distribution pdfImage "325".
- Skellam_distribution type "mass".
- Skellam_distribution subject Category:Discrete_distributions.
- Skellam_distribution subject Category:Probability_distributions.
- Skellam_distribution type Abstraction100002137.
- Skellam_distribution type Arrangement105726596.
- Skellam_distribution type Cognition100023271.
- Skellam_distribution type DiscreteDistributions.
- Skellam_distribution type Distribution105729036.
- Skellam_distribution type PsychologicalFeature100023100.
- Skellam_distribution type Structure105726345.
- Skellam_distribution comment "The Skellam distribution is the discrete probability distribution of the difference of two statistically independent random variables and each having Poisson distributions with different expected values and .".
- Skellam_distribution label "Distribuzione di Skellam".
- Skellam_distribution label "Loi de Skellam".
- Skellam_distribution label "Rozkład Skellama".
- Skellam_distribution label "Skellam distribution".
- Skellam_distribution sameAs Loi_de_Skellam.
- Skellam_distribution sameAs Distribuzione_di_Skellam.
- Skellam_distribution sameAs Rozkład_Skellama.
- Skellam_distribution sameAs m.04g3ld.
- Skellam_distribution sameAs Q2519970.
- Skellam_distribution sameAs Q2519970.
- Skellam_distribution sameAs Skellam_distribution.
- Skellam_distribution wasDerivedFrom Skellam_distribution?oldid=605274320.
- Skellam_distribution depiction Skellam_distribution.svg.
- Skellam_distribution isPrimaryTopicOf Skellam_distribution.
