Copyright	(c) 2009 2011 Bryan O'Sullivan
License	BSD3
Maintainer	bos@serpentine.com
Stability	experimental
Portability	portable
Safe Haskell	None
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

Eq GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods (==) :: GammaDistribution -> GammaDistribution -> Bool Source # (/=) :: GammaDistribution -> GammaDistribution -> Bool Source #
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 Source # gunfold :: ( forall b r. Data b => c (b -> r) -> c r) -> ( forall r. r -> c r) -> Constr -> c GammaDistribution Source # toConstr :: GammaDistribution -> Constr Source # dataTypeOf :: GammaDistribution -> DataType Source # dataCast1 :: Typeable t => ( forall d. Data d => c (t d)) -> Maybe (c GammaDistribution ) Source # dataCast2 :: Typeable t => ( forall d e. ( Data d, Data e) => c (t d e)) -> Maybe (c GammaDistribution ) Source # gmapT :: ( forall b. Data b => b -> b) -> GammaDistribution -> GammaDistribution Source # gmapQl :: (r -> r' -> r) -> r -> ( forall d. Data d => d -> r') -> GammaDistribution -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> ( forall d. Data d => d -> r') -> GammaDistribution -> r Source # gmapQ :: ( forall d. Data d => d -> u) -> GammaDistribution -> [u] Source # gmapQi :: Int -> ( forall d. Data d => d -> u) -> GammaDistribution -> u Source # gmapM :: Monad m => ( forall d. Data d => d -> m d) -> GammaDistribution -> m GammaDistribution Source # gmapMp :: MonadPlus m => ( forall d. Data d => d -> m d) -> GammaDistribution -> m GammaDistribution Source # gmapMo :: MonadPlus m => ( forall d. Data d => d -> m d) -> GammaDistribution -> m GammaDistribution Source #
Read GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods readsPrec :: Int -> ReadS GammaDistribution Source # readList :: ReadS [ GammaDistribution ] Source # readPrec :: ReadPrec GammaDistribution Source # readListPrec :: ReadPrec [ GammaDistribution ] Source #
Show GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods showsPrec :: Int -> GammaDistribution -> ShowS Source # show :: GammaDistribution -> String Source # showList :: [ GammaDistribution ] -> ShowS Source #
Generic GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Associated Types type Rep GammaDistribution :: Type -> Type Source # Methods from :: GammaDistribution -> Rep GammaDistribution x Source # to :: Rep GammaDistribution x -> GammaDistribution Source #
ToJSON GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods toJSON :: GammaDistribution -> Value Source # toEncoding :: GammaDistribution -> Encoding Source # toJSONList :: [ GammaDistribution ] -> Value Source # toEncodingList :: [ GammaDistribution ] -> Encoding Source #
FromJSON GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods parseJSON :: Value -> Parser GammaDistribution Source # parseJSONList :: Value -> Parser [ GammaDistribution ] Source #
Binary GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods put :: GammaDistribution -> Put Source # get :: Get GammaDistribution Source # putList :: [ GammaDistribution ] -> Put Source #
ContGen GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods genContVar :: StatefulGen g m => GammaDistribution -> g -> m Double Source #
MaybeEntropy GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods maybeEntropy :: GammaDistribution -> Maybe Double Source #
Variance GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods variance :: GammaDistribution -> Double Source # stdDev :: GammaDistribution -> 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 #
MaybeMean GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods maybeMean :: GammaDistribution -> Maybe Double Source #
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 #
Distribution GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma Methods cumulative :: GammaDistribution -> Double -> Double Source # complCumulative :: GammaDistribution -> Double -> Double Source #
type Rep GammaDistribution Source #
Instance details Defined in Statistics.Distribution.Gamma type Rep GammaDistribution = D1 (' MetaData "GammaDistribution" "Statistics.Distribution.Gamma" "statistics-0.16.1.2-IkOne9g3oJ1vhHVSRLPUO" ' 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.