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
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
FromJSON GammaDistribution Source # | |||||
Defined in Statistics.Distribution.Gamma Methods parseJSON :: Value -> Parser GammaDistribution parseJSONList :: Value -> Parser [GammaDistribution] omittedField :: Maybe GammaDistribution | |||||
ToJSON GammaDistribution Source # | |||||
Defined in Statistics.Distribution.Gamma Methods toJSON :: GammaDistribution -> Value toEncoding :: GammaDistribution -> Encoding toJSONList :: [GammaDistribution] -> Value toEncodingList :: [GammaDistribution] -> Encoding omitField :: GammaDistribution -> Bool | |||||
Data GammaDistribution Source # | |||||
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 # | |||||
Defined in Statistics.Distribution.Gamma Associated Types
Methods from :: GammaDistribution -> Rep GammaDistribution x to :: Rep GammaDistribution x -> GammaDistribution | |||||
Read GammaDistribution Source # | |||||
Defined in Statistics.Distribution.Gamma Methods readsPrec :: Int -> ReadS GammaDistribution readList :: ReadS [GammaDistribution] readPrec :: ReadPrec GammaDistribution readListPrec :: ReadPrec [GammaDistribution] | |||||
Show GammaDistribution Source # | |||||
Defined in Statistics.Distribution.Gamma Methods showsPrec :: Int -> GammaDistribution -> ShowS show :: GammaDistribution -> String showList :: [GammaDistribution] -> ShowS | |||||
Binary GammaDistribution Source # | |||||
Defined in Statistics.Distribution.Gamma Methods put :: GammaDistribution -> Put get :: Get GammaDistribution putList :: [GammaDistribution] -> Put | |||||
Eq GammaDistribution Source # | |||||
Defined in Statistics.Distribution.Gamma Methods (==) :: GammaDistribution -> GammaDistribution -> Bool (/=) :: GammaDistribution -> GammaDistribution -> Bool | |||||
ContDistr GammaDistribution Source # | |||||
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 # | |||||
Defined in Statistics.Distribution.Gamma Methods genContVar :: StatefulGen g m => GammaDistribution -> g -> m Double Source # | |||||
Distribution GammaDistribution Source # | |||||
Defined in Statistics.Distribution.Gamma Methods cumulative :: GammaDistribution -> Double -> Double Source # complCumulative :: GammaDistribution -> Double -> Double Source # | |||||
MaybeEntropy GammaDistribution Source # | |||||
Defined in Statistics.Distribution.Gamma Methods maybeEntropy :: GammaDistribution -> Maybe Double Source # | |||||
MaybeMean GammaDistribution Source # | |||||
Defined in Statistics.Distribution.Gamma Methods maybeMean :: GammaDistribution -> Maybe Double Source # | |||||
MaybeVariance GammaDistribution Source # | |||||
Defined in Statistics.Distribution.Gamma Methods maybeVariance :: GammaDistribution -> Maybe Double Source # maybeStdDev :: GammaDistribution -> Maybe Double Source # | |||||
Mean GammaDistribution Source # | |||||
Defined in Statistics.Distribution.Gamma Methods mean :: GammaDistribution -> Double Source # | |||||
Variance GammaDistribution Source # | |||||
Defined in Statistics.Distribution.Gamma Methods variance :: GammaDistribution -> Double Source # stdDev :: GammaDistribution -> Double Source # | |||||
type Rep GammaDistribution Source # | |||||
Defined in Statistics.Distribution.Gamma type Rep GammaDistribution = D1 ('MetaData "GammaDistribution" "Statistics.Distribution.Gamma" "statistics-0.16.2.1-GC0UmpORwJ8SU4BdSiJEf" '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
Arguments
:: Double | Shape parameter. k |
-> Double | Scale parameter, ϑ. |
-> GammaDistribution |
Create gamma distribution. Both shape and scale parameters must be positive.
Arguments
:: Double | Shape parameter. k |
-> Double | Scale parameter, ϑ. |
-> Maybe GammaDistribution |
Create gamma distribution. Both shape and scale parameters must be positive.
Arguments
:: Double | Shape parameter. k |
-> Double | Scale parameter, ϑ. |
-> GammaDistribution |
Create gamma distribution. Both shape and scale parameters must be non-negative.
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.