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.

1 type
3 values

Packagestatistics-0.16.3.0
Exports4
LanguageHaskell2010
LicenceBSD-2-Clause
SourcePoisson.hs

newtypenewtype PoissonDistribution

Instances17Eq, Data, Read, Show, Generic, Binary, …

Eq PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
Data PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
Read PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
Show PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
Generic PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
Binary PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
FromJSON PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
ToJSON PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
DiscreteDistr PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
Distribution PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
Entropy PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
MaybeEntropy PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
MaybeMean PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
MaybeVariance PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
Mean PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
Variance PoissonDistributionDefined in statistics-0.16.3.0 · Statistics.Distribution.Poisson
type Rep PoissonDistribution = D1 ('MetaData "PoissonDistribution" "Statistics.Distribution.Poisson" "statistics-0.16.3.0-7tUzFo3BZKZH5qDjy8INI7" 'True) (C1 ('MetaCons "PD" 'PrefixI 'True) (S1 ('MetaSel ('Just "poissonLambda") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Double)))Defined in statistics-0.16.3.0 · Statistics.Distribution.Poisson

Constructors

2 declarations

valuepoisson :: Double -> PoissonDistribution

Create Poisson distribution.

valuepoissonE :: Double -> Maybe PoissonDistribution

Create Poisson distribution.

Accessors

1 declaration

valuepoissonLambda :: PoissonDistribution -> Double

References

0 declarations

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