# Poisson distribution

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Related to Poisson distributions: binomial distributions

## 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.

## Poisson distribution

a statistical distribution which often describes the sampling frequency of individual, isolated counts in time and space.
References in periodicals archive ?
t] reflects a Poisson distribution with time-varying intensity [[theta].
For the Poisson distribution, the mean and variance have the same value.
10 is the mean of the Poisson distribution representing .
These chained steps in calculating the Poisson distribution have been described elsewhere (e.
It is widely noted that the Poisson distribution is the limiting case of the binomial distribution [(q + p).
We found that the generalizations of the zero-inflated Poisson distribution has interesting applications for insurance data, where the number of accidents can be compared to the number of claims.
r]' is the jth moment about the origin of the Poisson distribution given by
We will assume throughout that the claim count N[where][Lambda] has a Poisson distribution with mean [Lambda].
i~ has a mixed Poisson distribution with a mixing distribution F(|Lambda~) that are estimable and it will also present nonparametric estimators of these parameters.
The typical model presumes that each individual within the group has an inherent accident rate and that the number of accidents he/she will experience in a given period has a Poisson distribution with expectation equal to this accident rate.
the discrete Poisson distribution as an appropriately scaled probability
Sampling from the poisson distribution on a computer, Computing 17, 1976, 147-156.

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