Statistics.Distribution.Poisson

The Poisson distribution. This is the discrete probability distribution of a number of events occurring in a fixed interval if these events occur with a known average rate, and occur independently from each other within that interval.

Documentation

data PoissonDistribution

Instances

Eq PoissonDistribution

Data PoissonDistribution

Read PoissonDistribution

Show PoissonDistribution

Typeable PoissonDistribution

Generic PoissonDistribution

Binary PoissonDistribution

Entropy PoissonDistribution

MaybeEntropy PoissonDistribution

Variance PoissonDistribution

MaybeVariance PoissonDistribution

Mean PoissonDistribution

MaybeMean PoissonDistribution

DiscreteDistr PoissonDistribution

Distribution PoissonDistribution

Constructors

poisson :: Double -> PoissonDistribution

Create Poisson distribution.

Accessors

poissonLambda :: PoissonDistribution -> Double

References

• Loader, C. (2000) Fast and Accurate Computation of Binomial Probabilities. http://projects.scipy.org/scipy/raw-attachment/ticket/620/loader2000Fast.pdf * Adell, J., Lekuona, A., and Yu, Y. (2010) Sharp Bounds on the Entropy of the Poisson Law and Related Quantities http://arxiv.org/pdf/1001.2897.pdf