# Poisson distribution

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## Pois·son dis·tri·bu·tion

(pwah-son[h]'),
1. a discontinuous distribution important in statistical work and defined by the equation p (x) = e μx/ x!, where e is the base of natural logarithms, x is the sequence of integers, μ is the mean, and x! represents the factorial of x.
2. a distribution function used to describe the occurrence of rare events, or the sampling distribution of isolated counts in a continuum of time or space.

## Poisson distribution

A sampling distribution based on the number of occurrences, r, of an event during a period of time, which depends on only one parameter, the mean number of occurrences in periods of the same length.

## Poisson distribution

Statistics The distribution that arises when parasites are distributed randomly among hosts. See Distribution.

## Poisson distribution

(statistics) the frequency of sample classes containing a particular number of events (0,1,2,3 … n), where the average frequency of the event is small in relation to the total number of times that the event could occur. Thus, if a pool contained 100 small fish then each time a net is dipped into the pool up to 100 fish could be caught and returned to the pool. In reality, however, only none, one or two fish are likely to be caught each time. The Poisson distribution predicts the probability of catching 0,1,2,3 … 100 fish each time, producing a FREQUENCY DISTRIBUTION graph that is skewed heavily towards the low number of events.

## Poisson,

Siméon Denis, French mathematician, 1781-1840.
Poisson distribution - a discontinuous distribution important in statistical work.
Poisson ratio
Poisson-Pearson formula - to determines the statistical error in calculating the endemic index of malaria.
References in periodicals archive ?
Voisin, "An adaptive spatial-spectral total variation approach for Poisson noise removal in hyperspectral images," Signal, Image and Video Processing, vol.
Tables 1-4 show results for linear combination of noises, Gaussian noise, Poisson noise, and superposition of noises for the artificial image.
For Gaussian noise, we consider the variance of Gaussian noise is four times greater than the variance of Poisson noise [[sigma].sub.1] = 4[[bar.[sigma]].sub.2] = 36.3529.
Tables 5-8 show results for linear combination of noises, Gaussian noise, Poisson noise, and superposition of noises for the real image.
Furthermore, our proposed method can be also used to remove Gaussian or Poisson noise separately.
A variational approach to reconstructing images corrupted by Poisson noise. Journal of mathematical imaging and vision, 2007, Vol.
In this work de-noising is performed on LENA PET SPECT and X-Rays images corrupted by Poisson noise by using discrete wavelet transform and complex discrete wavelet transform algorithms.
Whereas by visual quality of image de-noised by Median filter (as shown in Figure-3b) it can be seen that Median filter have low tendency for completely removing Poisson noise. Moreover de-noising by Wiener filter doesn't preserve the image structure and blur it and noise from edges also doesn't remove.
However the performance of CDTDWT is closely same to Median filter for low level of Poisson noise but better for high value of noise.
De- noising of Medical Images Corrupted by Poisson Noise IEEE Int.
Chen, "Multilevel algorithm for a Poisson noise removal model with total-variation regularization," International Journal of Computer Mathematics, vol.
In the case of Poisson noise a direct estimation of mean deviations has been developed in parallel in , which uses similar techniques as our estimation and also includes a novel statistical characterization of noise level in terms of measurement times.

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