statistics-0.16.2.1: A library of statistical types, data, and functions
Copyright(c) 2009 2011 Bryan O'Sullivan
LicenseBSD3
Maintainerbos@serpentine.com
Stabilityexperimental
Portabilityportable
Safe HaskellNone
LanguageHaskell2010

Statistics.Distribution.Poisson

Description

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.

Synopsis

Documentation

data PoissonDistribution Source #

Instances

Instances details
FromJSON PoissonDistribution Source # 
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ToJSON PoissonDistribution Source # 
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Data PoissonDistribution Source # 
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Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> PoissonDistribution -> c PoissonDistribution

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c PoissonDistribution

toConstr :: PoissonDistribution -> Constr

dataTypeOf :: PoissonDistribution -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c PoissonDistribution)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c PoissonDistribution)

gmapT :: (forall b. Data b => b -> b) -> PoissonDistribution -> PoissonDistribution

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> PoissonDistribution -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> PoissonDistribution -> r

gmapQ :: (forall d. Data d => d -> u) -> PoissonDistribution -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> PoissonDistribution -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> PoissonDistribution -> m PoissonDistribution

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> PoissonDistribution -> m PoissonDistribution

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> PoissonDistribution -> m PoissonDistribution

Generic PoissonDistribution Source # 
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Associated Types

type Rep PoissonDistribution 
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Defined in Statistics.Distribution.Poisson

type Rep PoissonDistribution = D1 ('MetaData "PoissonDistribution" "Statistics.Distribution.Poisson" "statistics-0.16.2.1-GC0UmpORwJ8SU4BdSiJEf" 'True) (C1 ('MetaCons "PD" 'PrefixI 'True) (S1 ('MetaSel ('Just "poissonLambda") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Double)))
Read PoissonDistribution Source # 
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Show PoissonDistribution Source # 
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Methods

showsPrec :: Int -> PoissonDistribution -> ShowS

show :: PoissonDistribution -> String

showList :: [PoissonDistribution] -> ShowS

Binary PoissonDistribution Source # 
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Eq PoissonDistribution Source # 
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DiscreteDistr PoissonDistribution Source # 
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Methods

probability :: PoissonDistribution -> Int -> Double Source #

logProbability :: PoissonDistribution -> Int -> Double Source #

Distribution PoissonDistribution Source # 
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Methods

cumulative :: PoissonDistribution -> Double -> Double Source #

complCumulative :: PoissonDistribution -> Double -> Double Source #

Entropy PoissonDistribution Source # 
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Methods

entropy :: PoissonDistribution -> Double Source #

MaybeEntropy PoissonDistribution Source # 
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Methods

maybeEntropy :: PoissonDistribution -> Maybe Double Source #

MaybeMean PoissonDistribution Source # 
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Methods

maybeMean :: PoissonDistribution -> Maybe Double Source #

MaybeVariance PoissonDistribution Source # 
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Methods

maybeVariance :: PoissonDistribution -> Maybe Double Source #

maybeStdDev :: PoissonDistribution -> Maybe Double Source #

Mean PoissonDistribution Source # 
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Methods

mean :: PoissonDistribution -> Double Source #

Variance PoissonDistribution Source # 
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type Rep PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

type Rep PoissonDistribution = D1 ('MetaData "PoissonDistribution" "Statistics.Distribution.Poisson" "statistics-0.16.2.1-GC0UmpORwJ8SU4BdSiJEf" 'True) (C1 ('MetaCons "PD" 'PrefixI 'True) (S1 ('MetaSel ('Just "poissonLambda") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Double)))

Constructors

poisson :: Double -> PoissonDistribution Source #

Create Poisson distribution.

poissonE :: Double -> Maybe PoissonDistribution Source #

Create Poisson distribution.

Accessors

References