Super-Poissonian distribution

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In mathematics, a super-Poissonian distribution is a probability distribution that has a larger variance than a Poisson distribution with the same mean.[1] Conversely, a sub-Poissonian distribution has a smaller variance.

An example of super-Poissonian distribution is negative binomial distribution.[2]

The Poisson distribution is a result of a process where the time (or an equivalent measure) between events has an Exponential distribution, representing a memoriless process.


  1. ^ Zou, X.; Mandel, L. (1990). "Photon-antibunching and sub-Poissonian photon statistics". Physical Review A. 41 (1): 475–476. Bibcode:1990PhRvA..41..475Z. doi:10.1103/PhysRevA.41.475. PMID 9902890. 
  2. ^ Simon Anders and Wolfgang Huber. Differential expression analysis for sequence count data. Genome Biology 2010, 11:R106; doi:10.1186/gb-2010-11-10-r106