statistics-0.16.2.1: A library of statistical types, data, and functions
Copyright(C) 2012 Edward Kmett
LicenseBSD-style (see the file LICENSE)
MaintainerEdward Kmett <ekmett@gmail.com>
Stabilityprovisional
PortabilityDeriveDataTypeable
Safe HaskellSafe-Inferred
LanguageHaskell2010

Statistics.Distribution.Beta

Description

 
Synopsis

Documentation

data BetaDistribution #

The beta distribution

Instances

Instances details
FromJSON BetaDistribution # 
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Defined in Statistics.Distribution.Beta

ToJSON BetaDistribution # 
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Data BetaDistribution # 
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Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> BetaDistribution -> c BetaDistribution

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c BetaDistribution

toConstr :: BetaDistribution -> Constr

dataTypeOf :: BetaDistribution -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c BetaDistribution)

dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c BetaDistribution)

gmapT :: (forall b. Data b => b -> b) -> BetaDistribution -> BetaDistribution

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> BetaDistribution -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> BetaDistribution -> r

gmapQ :: (forall d. Data d => d -> u) -> BetaDistribution -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> BetaDistribution -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> BetaDistribution -> m BetaDistribution

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> BetaDistribution -> m BetaDistribution

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> BetaDistribution -> m BetaDistribution

Generic BetaDistribution # 
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Associated Types

type Rep BetaDistribution :: Type -> Type

Read BetaDistribution # 
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Show BetaDistribution # 
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Methods

showsPrec :: Int -> BetaDistribution -> ShowS

show :: BetaDistribution -> String

showList :: [BetaDistribution] -> ShowS

Binary BetaDistribution # 
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Eq BetaDistribution # 
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ContDistr BetaDistribution # 
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Methods

density :: BetaDistribution -> Double -> Double #

logDensity :: BetaDistribution -> Double -> Double #

quantile :: BetaDistribution -> Double -> Double #

complQuantile :: BetaDistribution -> Double -> Double #

ContGen BetaDistribution # 
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Methods

genContVar :: StatefulGen g m => BetaDistribution -> g -> m Double #

Distribution BetaDistribution # 
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Methods

cumulative :: BetaDistribution -> Double -> Double #

complCumulative :: BetaDistribution -> Double -> Double #

Entropy BetaDistribution # 
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Methods

entropy :: BetaDistribution -> Double #

MaybeEntropy BetaDistribution # 
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Methods

maybeEntropy :: BetaDistribution -> Maybe Double #

MaybeMean BetaDistribution # 
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Methods

maybeMean :: BetaDistribution -> Maybe Double #

MaybeVariance BetaDistribution # 
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Methods

maybeVariance :: BetaDistribution -> Maybe Double #

maybeStdDev :: BetaDistribution -> Maybe Double #

Mean BetaDistribution # 
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Methods

mean :: BetaDistribution -> Double #

Variance BetaDistribution # 
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Methods

variance :: BetaDistribution -> Double #

stdDev :: BetaDistribution -> Double #

type Rep BetaDistribution # 
Instance details

Defined in Statistics.Distribution.Beta

type Rep BetaDistribution = D1 ('MetaData "BetaDistribution" "Statistics.Distribution.Beta" "statistics-0.16.2.1-98mJfW1HOHt8aIUJHLREex" '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 #

Arguments

:: Double

Shape parameter alpha

-> Double

Shape parameter beta

-> BetaDistribution 

Create beta distribution. Both shape parameters must be positive.

betaDistrE #

Arguments

:: Double

Shape parameter alpha

-> Double

Shape parameter beta

-> Maybe BetaDistribution 

Create beta distribution. Both shape parameters must be positive.

improperBetaDistr #

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 #

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 #

Alpha shape parameter

bdBeta :: BetaDistribution -> Double #

Beta shape parameter