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

FromJSON BetaDistribution Source #

Instance details

Defined in Statistics.Distribution.Beta

Methods

parseJSON :: Value -> Parser BetaDistribution

parseJSONList :: Value -> Parser [BetaDistribution]

omittedField :: Maybe BetaDistribution

ToJSON BetaDistribution Source #

Instance details

Defined in Statistics.Distribution.Beta

Methods

toJSON :: BetaDistribution -> Value

toEncoding :: BetaDistribution -> Encoding

toJSONList :: [BetaDistribution] -> Value

toEncodingList :: [BetaDistribution] -> Encoding

omitField :: BetaDistribution -> Bool

Binary BetaDistribution Source #

Instance details

Defined in Statistics.Distribution.Beta

Methods

put :: BetaDistribution -> Put

get :: Get BetaDistribution

putList :: [BetaDistribution] -> Put

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

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 Source #

Instance details

Defined in Statistics.Distribution.Beta

Associated Types

type Rep BetaDistribution

Instance details

Defined in Statistics.Distribution.Beta

type Rep BetaDistribution = D1 ('MetaData "BetaDistribution" "Statistics.Distribution.Beta" "statistics-0.16.5.0-CUpwRr22xOC5RMvoidvha8" 'False) (C1 ('MetaCons "BD" 'PrefixI 'True) (S1 ('MetaSel ('Just "bdAlpha") 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Double) :*: S1 ('MetaSel ('Just "bdBeta") 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Double)))

Methods

from :: BetaDistribution -> Rep BetaDistribution x

to :: Rep BetaDistribution x -> BetaDistribution

Read BetaDistribution Source #

Instance details

Defined in Statistics.Distribution.Beta

Methods

readsPrec :: Int -> ReadS BetaDistribution

readList :: ReadS [BetaDistribution]

readPrec :: ReadPrec BetaDistribution

readListPrec :: ReadPrec [BetaDistribution]

Show BetaDistribution Source #

Instance details

Defined in Statistics.Distribution.Beta

Methods

showsPrec :: Int -> BetaDistribution -> ShowS

show :: BetaDistribution -> String

showList :: [BetaDistribution] -> ShowS

Eq BetaDistribution Source #

Instance details

Defined in Statistics.Distribution.Beta

Methods

(==) :: BetaDistribution -> BetaDistribution -> Bool

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

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 #

ContGen BetaDistribution Source #

Instance details

Defined in Statistics.Distribution.Beta

Methods

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

Distribution BetaDistribution Source #

Instance details

Defined in Statistics.Distribution.Beta

Methods

cumulative :: BetaDistribution -> Double -> Double Source #

complCumulative :: BetaDistribution -> Double -> 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 #

MaybeMean BetaDistribution Source #

Instance details

Defined in Statistics.Distribution.Beta

Methods

maybeMean :: BetaDistribution -> Maybe 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 #

Variance BetaDistribution Source #

Instance details

Defined in Statistics.Distribution.Beta

Methods

variance :: BetaDistribution -> Double Source #

stdDev :: BetaDistribution -> Double Source #

type Rep BetaDistribution Source #

Instance details

Defined in Statistics.Distribution.Beta

type Rep BetaDistribution = D1 ('MetaData "BetaDistribution" "Statistics.Distribution.Beta" "statistics-0.16.5.0-CUpwRr22xOC5RMvoidvha8" '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