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 HaskellSafe-Inferred
LanguageHaskell2010

Statistics.Distribution.Gamma

Description

The gamma distribution. This is a continuous probability distribution with two parameters, k and ϑ. If k is integral, the distribution represents the sum of k independent exponentially distributed random variables, each of which has a mean of ϑ.

Synopsis

Documentation

data GammaDistribution Source #

The gamma distribution.

Instances

Instances details
FromJSON GammaDistribution Source # 
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Defined in Statistics.Distribution.Gamma

ToJSON GammaDistribution Source # 
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Data GammaDistribution Source # 
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Methods

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

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

toConstr :: GammaDistribution -> Constr #

dataTypeOf :: GammaDistribution -> DataType #

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

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

gmapT :: (forall b. Data b => b -> b) -> GammaDistribution -> GammaDistribution #

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

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

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

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

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

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

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

Generic GammaDistribution Source # 
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Defined in Statistics.Distribution.Gamma

Associated Types

type Rep GammaDistribution :: Type -> Type #

Read GammaDistribution Source # 
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Show GammaDistribution Source # 
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Binary GammaDistribution Source # 
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Eq GammaDistribution Source # 
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ContDistr GammaDistribution Source # 
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ContGen GammaDistribution Source # 
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Distribution GammaDistribution Source # 
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MaybeEntropy GammaDistribution Source # 
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MaybeMean GammaDistribution Source # 
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MaybeVariance GammaDistribution Source # 
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Mean GammaDistribution Source # 
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Variance GammaDistribution Source # 
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type Rep GammaDistribution Source # 
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Defined in Statistics.Distribution.Gamma

type Rep GammaDistribution = D1 ('MetaData "GammaDistribution" "Statistics.Distribution.Gamma" "statistics-0.16.2.1-34qObKIlIVGJpKYv9daW0Y" 'False) (C1 ('MetaCons "GD" 'PrefixI 'True) (S1 ('MetaSel ('Just "gdShape") 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Double) :*: S1 ('MetaSel ('Just "gdScale") 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Double)))

Constructors

gammaDistr Source #

Arguments

:: Double

Shape parameter. k

-> Double

Scale parameter, ϑ.

-> GammaDistribution 

Create gamma distribution. Both shape and scale parameters must be positive.

gammaDistrE Source #

Arguments

:: Double

Shape parameter. k

-> Double

Scale parameter, ϑ.

-> Maybe GammaDistribution 

Create gamma distribution. Both shape and scale parameters must be positive.

improperGammaDistr Source #

Arguments

:: Double

Shape parameter. k

-> Double

Scale parameter, ϑ.

-> GammaDistribution 

Create gamma distribution. Both shape and scale parameters must be non-negative.

improperGammaDistrE Source #

Arguments

:: Double

Shape parameter. k

-> Double

Scale parameter, ϑ.

-> Maybe GammaDistribution 

Create gamma distribution. Both shape and scale parameters must be non-negative.

Accessors

gdShape :: GammaDistribution -> Double Source #

Shape parameter, k.

gdScale :: GammaDistribution -> Double Source #

Scale parameter, ϑ.