Copyright	(c) 2009 2011 Bryan O'Sullivan
License	BSD3
Maintainer	bos@serpentine.com
Stability	experimental
Portability	portable
Safe Haskell	Safe-Inferred
Language	Haskell2010

Statistics.Distribution.Gamma

Contents

Constructors
Accessors

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

data GammaDistribution
gammaDistr :: Double -> Double -> GammaDistribution
gammaDistrE :: Double -> Double -> Maybe GammaDistribution
improperGammaDistr :: Double -> Double -> GammaDistribution
improperGammaDistrE :: Double -> Double -> Maybe GammaDistribution
gdShape :: GammaDistribution -> Double
gdScale :: GammaDistribution -> Double

Documentation

data GammaDistribution Source #

The gamma distribution.

Instances

Instances details

FromJSON GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods parseJSON :: Value -> Parser GammaDistribution # parseJSONList :: Value -> Parser [GammaDistribution] #
ToJSON GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods toJSON :: GammaDistribution -> Value # toEncoding :: GammaDistribution -> Encoding # toJSONList :: [GammaDistribution] -> Value # toEncodingList :: [GammaDistribution] -> Encoding #
Data GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma 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 #
Instance details Defined in Statistics.Distribution.Gamma Associated Types type Rep GammaDistribution :: Type -> Type # Methods from :: GammaDistribution -> Rep GammaDistribution x # to :: Rep GammaDistribution x -> GammaDistribution #
Read GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods readsPrec :: Int -> ReadS GammaDistribution # readList :: ReadS [GammaDistribution] # readPrec :: ReadPrec GammaDistribution # readListPrec :: ReadPrec [GammaDistribution] #
Show GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods showsPrec :: Int -> GammaDistribution -> ShowS # show :: GammaDistribution -> String # showList :: [GammaDistribution] -> ShowS #
Binary GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods put :: GammaDistribution -> Put # get :: Get GammaDistribution # putList :: [GammaDistribution] -> Put #
Eq GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods (==) :: GammaDistribution -> GammaDistribution -> Bool # (/=) :: GammaDistribution -> GammaDistribution -> Bool #
ContDistr GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods density :: GammaDistribution -> Double -> Double Source # logDensity :: GammaDistribution -> Double -> Double Source # quantile :: GammaDistribution -> Double -> Double Source # complQuantile :: GammaDistribution -> Double -> Double Source #
ContGen GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods genContVar :: StatefulGen g m => GammaDistribution -> g -> m Double Source #
Distribution GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods cumulative :: GammaDistribution -> Double -> Double Source # complCumulative :: GammaDistribution -> Double -> Double Source #
MaybeEntropy GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods maybeEntropy :: GammaDistribution -> Maybe Double Source #
MaybeMean GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods maybeMean :: GammaDistribution -> Maybe Double Source #
MaybeVariance GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods maybeVariance :: GammaDistribution -> Maybe Double Source # maybeStdDev :: GammaDistribution -> Maybe Double Source #
Mean GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods mean :: GammaDistribution -> Double Source #
Variance GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods variance :: GammaDistribution -> Double Source # stdDev :: GammaDistribution -> Double Source #
type Rep GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma type Rep GammaDistribution = D1 ('MetaData "GammaDistribution" "Statistics.Distribution.Gamma" "statistics-0.16.2.0-Iazw6pxXVUYHaurUiPE2b2" '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.