Statistics.Distribution.Beta

Documentation

data BetaDistribution

The beta distribution

Instances

Eq BetaDistribution

Methods

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

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

Data BetaDistribution

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 :: (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

Read BetaDistribution

Methods

readsPrec :: Int -> ReadS BetaDistribution

readList :: ReadS [BetaDistribution]

readPrec :: ReadPrec BetaDistribution

readListPrec :: ReadPrec [BetaDistribution]

Show BetaDistribution

Methods

showsPrec :: Int -> BetaDistribution -> ShowS

show :: BetaDistribution -> String

showList :: [BetaDistribution] -> ShowS

Generic BetaDistribution

Associated Types

type Rep BetaDistribution :: * -> *

Methods

from :: BetaDistribution -> Rep BetaDistribution x

to :: Rep BetaDistribution x -> BetaDistribution

ToJSON BetaDistribution

Methods

toJSON :: BetaDistribution -> Value

toEncoding :: BetaDistribution -> Encoding

toJSONList :: [BetaDistribution] -> Value

toEncodingList :: [BetaDistribution] -> Encoding

FromJSON BetaDistribution

Methods

parseJSON :: Value -> Parser BetaDistribution

parseJSONList :: Value -> Parser [BetaDistribution]

Binary BetaDistribution

Methods

put :: BetaDistribution -> Put

get :: Get BetaDistribution

putList :: [BetaDistribution] -> Put

ContGen BetaDistribution

Methods

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

Entropy BetaDistribution

Methods

entropy :: BetaDistribution -> Double

MaybeEntropy BetaDistribution

Methods

maybeEntropy :: BetaDistribution -> Maybe Double

Variance BetaDistribution

Methods

variance :: BetaDistribution -> Double

stdDev :: BetaDistribution -> Double

MaybeVariance BetaDistribution

Methods

maybeVariance :: BetaDistribution -> Maybe Double

maybeStdDev :: BetaDistribution -> Maybe Double

Mean BetaDistribution

Methods

mean :: BetaDistribution -> Double

MaybeMean BetaDistribution

Methods

maybeMean :: BetaDistribution -> Maybe Double

ContDistr BetaDistribution

Methods

density :: BetaDistribution -> Double -> Double

quantile :: BetaDistribution -> Double -> Double

complQuantile :: BetaDistribution -> Double -> Double

logDensity :: BetaDistribution -> Double -> Double

Distribution BetaDistribution

Methods

cumulative :: BetaDistribution -> Double -> Double

complCumulative :: BetaDistribution -> Double -> Double

type Rep BetaDistribution

type Rep BetaDistribution = D1 (MetaData "BetaDistribution" "Statistics.Distribution.Beta" "statistics-0.14.0.0-9xPMo3QbnR7BEP0FkvUcUB" False) (C1 (MetaCons "BD" PrefixI True) ((:*:) (S1 (MetaSel (Just Symbol "bdAlpha") SourceUnpack SourceStrict DecidedUnpack) (Rec0 Double)) (S1 (MetaSel (Just Symbol "bdBeta") SourceUnpack SourceStrict DecidedUnpack) (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