Copyright	(c) 2009 2011 Bryan O'Sullivan
License	BSD3
Maintainer	bos@serpentine.com
Stability	experimental
Portability	portable
Safe Haskell	None
Language	Haskell98

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 #

The gamma distribution.

Instances

Eq GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma Methods (==) :: GammaDistribution -> GammaDistribution -> Bool # (/=) :: GammaDistribution -> GammaDistribution -> Bool #
Data GammaDistribution #
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 :: (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 #
Read GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma Methods readsPrec :: Int -> ReadS GammaDistribution # readList :: ReadS [GammaDistribution] # readPrec :: ReadPrec GammaDistribution # readListPrec :: ReadPrec [GammaDistribution] #
Show GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma Methods showsPrec :: Int -> GammaDistribution -> ShowS # show :: GammaDistribution -> String # showList :: [GammaDistribution] -> ShowS #
Generic GammaDistribution #
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 #
ToJSON GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma Methods toJSON :: GammaDistribution -> Value # toEncoding :: GammaDistribution -> Encoding # toJSONList :: [GammaDistribution] -> Value # toEncodingList :: [GammaDistribution] -> Encoding #
FromJSON GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma Methods parseJSON :: Value -> Parser GammaDistribution # parseJSONList :: Value -> Parser [GammaDistribution] #
Binary GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma Methods put :: GammaDistribution -> Put # get :: Get GammaDistribution # putList :: [GammaDistribution] -> Put #
ContGen GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma Methods genContVar :: PrimMonad m => GammaDistribution -> Gen (PrimState m) -> m Double #
MaybeEntropy GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma Methods maybeEntropy :: GammaDistribution -> Maybe Double #
Variance GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma Methods variance :: GammaDistribution -> Double # stdDev :: GammaDistribution -> Double #
MaybeVariance GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma Methods maybeVariance :: GammaDistribution -> Maybe Double # maybeStdDev :: GammaDistribution -> Maybe Double #
Mean GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma Methods mean :: GammaDistribution -> Double #
MaybeMean GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma Methods maybeMean :: GammaDistribution -> Maybe Double #
ContDistr GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma Methods density :: GammaDistribution -> Double -> Double # quantile :: GammaDistribution -> Double -> Double # complQuantile :: GammaDistribution -> Double -> Double # logDensity :: GammaDistribution -> Double -> Double #
Distribution GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma Methods cumulative :: GammaDistribution -> Double -> Double # complCumulative :: GammaDistribution -> Double -> Double #
type Rep GammaDistribution #
Instance details Defined in Statistics.Distribution.Gamma type Rep GammaDistribution = D1 (MetaData "GammaDistribution" "Statistics.Distribution.Gamma" "statistics-0.15.0.0-KYJLg9h4jsl1bBm8KLc3A8" 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 #

Arguments

:: Double	Shape parameter. k
-> Double	Scale parameter, ϑ.
-> GammaDistribution

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

gammaDistrE #

Arguments

:: Double	Shape parameter. k
-> Double	Scale parameter, ϑ.
-> Maybe GammaDistribution

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

improperGammaDistr #

Arguments

:: Double	Shape parameter. k
-> Double	Scale parameter, ϑ.
-> GammaDistribution

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

improperGammaDistrE #

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 #

Shape parameter, k.

gdScale :: GammaDistribution -> Double #

Scale parameter, ϑ.