Copyright	(C) 2012 Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	provisional
Portability	DeriveDataTypeable
Safe Haskell	None
Language	Haskell2010

Statistics.Distribution.Beta

Contents

Constructor
Accessors

Description

Synopsis

data BetaDistribution
betaDistr :: Double -> Double -> BetaDistribution
betaDistrE :: Double -> Double -> Maybe BetaDistribution
improperBetaDistr :: Double -> Double -> BetaDistribution
improperBetaDistrE :: Double -> Double -> Maybe BetaDistribution
bdAlpha :: BetaDistribution -> Double
bdBeta :: BetaDistribution -> Double

Documentation

data BetaDistribution Source #

The beta distribution

Instances

Instances details

Eq BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods (==) :: BetaDistribution -> BetaDistribution -> Bool Source # (/=) :: BetaDistribution -> BetaDistribution -> Bool Source #
Data BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods gfoldl :: ( forall d b. Data d => c (d -> b) -> d -> c b) -> ( forall g. g -> c g) -> BetaDistribution -> c BetaDistribution Source # gunfold :: ( forall b r. Data b => c (b -> r) -> c r) -> ( forall r. r -> c r) -> Constr -> c BetaDistribution Source # toConstr :: BetaDistribution -> Constr Source # dataTypeOf :: BetaDistribution -> DataType Source # dataCast1 :: Typeable t => ( forall d. Data d => c (t d)) -> Maybe (c BetaDistribution ) Source # dataCast2 :: Typeable t => ( forall d e. ( Data d, Data e) => c (t d e)) -> Maybe (c BetaDistribution ) Source # gmapT :: ( forall b. Data b => b -> b) -> BetaDistribution -> BetaDistribution Source # gmapQl :: (r -> r' -> r) -> r -> ( forall d. Data d => d -> r') -> BetaDistribution -> r Source # gmapQr :: forall r r'. (r' -> r -> r) -> r -> ( forall d. Data d => d -> r') -> BetaDistribution -> r Source # gmapQ :: ( forall d. Data d => d -> u) -> BetaDistribution -> [u] Source # gmapQi :: Int -> ( forall d. Data d => d -> u) -> BetaDistribution -> u Source # gmapM :: Monad m => ( forall d. Data d => d -> m d) -> BetaDistribution -> m BetaDistribution Source # gmapMp :: MonadPlus m => ( forall d. Data d => d -> m d) -> BetaDistribution -> m BetaDistribution Source # gmapMo :: MonadPlus m => ( forall d. Data d => d -> m d) -> BetaDistribution -> m BetaDistribution Source #
Read BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods readsPrec :: Int -> ReadS BetaDistribution Source # readList :: ReadS [ BetaDistribution ] Source # readPrec :: ReadPrec BetaDistribution Source # readListPrec :: ReadPrec [ BetaDistribution ] Source #
Show BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods showsPrec :: Int -> BetaDistribution -> ShowS Source # show :: BetaDistribution -> String Source # showList :: [ BetaDistribution ] -> ShowS Source #
Generic BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Associated Types type Rep BetaDistribution :: Type -> Type Source # Methods from :: BetaDistribution -> Rep BetaDistribution x Source # to :: Rep BetaDistribution x -> BetaDistribution Source #
ToJSON BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods toJSON :: BetaDistribution -> Value Source # toEncoding :: BetaDistribution -> Encoding Source # toJSONList :: [ BetaDistribution ] -> Value Source # toEncodingList :: [ BetaDistribution ] -> Encoding Source #
FromJSON BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods parseJSON :: Value -> Parser BetaDistribution Source # parseJSONList :: Value -> Parser [ BetaDistribution ] Source #
Binary BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods put :: BetaDistribution -> Put Source # get :: Get BetaDistribution Source # putList :: [ BetaDistribution ] -> Put Source #
ContGen BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods genContVar :: StatefulGen g m => BetaDistribution -> g -> m Double Source #
Entropy BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods entropy :: BetaDistribution -> Double Source #
MaybeEntropy BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods maybeEntropy :: BetaDistribution -> Maybe Double Source #
Variance BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods variance :: BetaDistribution -> Double Source # stdDev :: BetaDistribution -> Double Source #
MaybeVariance BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods maybeVariance :: BetaDistribution -> Maybe Double Source # maybeStdDev :: BetaDistribution -> Maybe Double Source #
Mean BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods mean :: BetaDistribution -> Double Source #
MaybeMean BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods maybeMean :: BetaDistribution -> Maybe Double Source #
ContDistr BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods density :: BetaDistribution -> Double -> Double Source # logDensity :: BetaDistribution -> Double -> Double Source # quantile :: BetaDistribution -> Double -> Double Source # complQuantile :: BetaDistribution -> Double -> Double Source #
Distribution BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta Methods cumulative :: BetaDistribution -> Double -> Double Source # complCumulative :: BetaDistribution -> Double -> Double Source #
type Rep BetaDistribution Source #
Instance details Defined in Statistics.Distribution.Beta type Rep BetaDistribution = D1 (' MetaData "BetaDistribution" "Statistics.Distribution.Beta" "statistics-0.16.1.2-IkOne9g3oJ1vhHVSRLPUO" ' False ) ( C1 (' MetaCons "BD" ' PrefixI ' True ) ( S1 (' MetaSel (' Just "bdAlpha") ' SourceUnpack ' SourceStrict ' DecidedStrict ) ( Rec0 Double ) :*: S1 (' MetaSel (' Just "bdBeta") ' SourceUnpack ' SourceStrict ' DecidedStrict ) ( Rec0 Double )))

Constructor

betaDistr Source #

Arguments

:: Double	Shape parameter alpha
-> Double	Shape parameter beta
-> BetaDistribution

Create beta distribution. Both shape parameters must be positive.

betaDistrE Source #

Arguments

:: Double	Shape parameter alpha
-> Double	Shape parameter beta
-> Maybe BetaDistribution

Create beta distribution. Both shape parameters must be positive.

improperBetaDistr Source #

Arguments

:: Double	Shape parameter alpha
-> Double	Shape parameter beta
-> BetaDistribution

Create beta distribution. Both shape parameters must be non-negative. So it allows to construct improper beta distribution which could be used as improper prior.

improperBetaDistrE Source #

Arguments

:: Double	Shape parameter alpha
-> Double	Shape parameter beta
-> Maybe BetaDistribution

Create beta distribution. Both shape parameters must be non-negative. So it allows to construct improper beta distribution which could be used as improper prior.

Accessors

bdAlpha :: BetaDistribution -> Double Source #

Alpha shape parameter

bdBeta :: BetaDistribution -> Double Source #

Beta shape parameter