Statistics.Distribution.Gamma

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.

Documentation

data GammaDistribution

The gamma distribution.

Instances

Eq GammaDistribution

Methods

(==) :: GammaDistribution -> GammaDistribution -> Bool

(/=) :: GammaDistribution -> GammaDistribution -> Bool

Data GammaDistribution

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

Methods

readsPrec :: Int -> ReadS GammaDistribution

readList :: ReadS [GammaDistribution]

readPrec :: ReadPrec GammaDistribution

readListPrec :: ReadPrec [GammaDistribution]

Show GammaDistribution

Methods

showsPrec :: Int -> GammaDistribution -> ShowS

show :: GammaDistribution -> String

showList :: [GammaDistribution] -> ShowS

Generic GammaDistribution

Associated Types

type Rep GammaDistribution :: * -> *

Methods

from :: GammaDistribution -> Rep GammaDistribution x

to :: Rep GammaDistribution x -> GammaDistribution

ToJSON GammaDistribution

Methods

toJSON :: GammaDistribution -> Value

toEncoding :: GammaDistribution -> Encoding

FromJSON GammaDistribution

Methods

parseJSON :: Value -> Parser GammaDistribution

Binary GammaDistribution

Methods

put :: GammaDistribution -> Put

get :: Get GammaDistribution

putList :: [GammaDistribution] -> Put

ContGen GammaDistribution

Methods

genContVar :: PrimMonad m => GammaDistribution -> Gen (PrimState m) -> m Double

MaybeEntropy GammaDistribution

Methods

maybeEntropy :: GammaDistribution -> Maybe Double

Variance GammaDistribution

Methods

variance :: GammaDistribution -> Double

stdDev :: GammaDistribution -> Double

MaybeVariance GammaDistribution

Methods

maybeVariance :: GammaDistribution -> Maybe Double

maybeStdDev :: GammaDistribution -> Maybe Double

Mean GammaDistribution

Methods

mean :: GammaDistribution -> Double

MaybeMean GammaDistribution

Methods

maybeMean :: GammaDistribution -> Maybe Double

ContDistr GammaDistribution

Methods

density :: GammaDistribution -> Double -> Double

quantile :: GammaDistribution -> Double -> Double

logDensity :: GammaDistribution -> Double -> Double

Distribution GammaDistribution

Methods

cumulative :: GammaDistribution -> Double -> Double

complCumulative :: GammaDistribution -> Double -> Double

type Rep GammaDistribution

type Rep GammaDistribution = D1 (MetaData "GammaDistribution" "Statistics.Distribution.Gamma" "statistics-0.13.3.0-4cjYwUsSjEQGDMfnb5oeqe" False) (C1 (MetaCons "GD" PrefixI True) ((:*:) (S1 (MetaSel (Just Symbol "gdShape") SourceUnpack SourceStrict DecidedUnpack) (Rec0 Double)) (S1 (MetaSel (Just Symbol "gdScale") SourceUnpack SourceStrict DecidedUnpack) (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.

improperGammaDistr

Arguments

:: Double

Shape parameter. k

-> Double

Scale parameter, ϑ.

-> GammaDistribution

Create gamma distribution. This constructor do not check whether parameters are valid

Accessors

gdShape :: GammaDistribution -> Double

Shape parameter, k.

gdScale :: GammaDistribution -> Double

Scale parameter, ϑ.