statistics-0.15.0.0: A library of statistical types, data, and functions

Copyright(c) 2009 Bryan O'Sullivan
LicenseBSD3
Maintainerbos@serpentine.com
Stabilityexperimental
Portabilityportable
Safe HaskellNone
LanguageHaskell98

Statistics.Distribution.Normal

Contents

Description

The normal distribution. This is a continuous probability distribution that describes data that cluster around a mean.

Synopsis

Documentation

data NormalDistribution #

The normal distribution.

Instances
Eq NormalDistribution # 
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Data NormalDistribution # 
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Methods

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

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

toConstr :: NormalDistribution -> Constr #

dataTypeOf :: NormalDistribution -> DataType #

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

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

gmapT :: (forall b. Data b => b -> b) -> NormalDistribution -> NormalDistribution #

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

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

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

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

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

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

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

Read NormalDistribution # 
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Show NormalDistribution # 
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Generic NormalDistribution # 
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Associated Types

type Rep NormalDistribution :: Type -> Type #

ToJSON NormalDistribution # 
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FromJSON NormalDistribution # 
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Binary NormalDistribution # 
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ContGen NormalDistribution # 
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Entropy NormalDistribution # 
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MaybeEntropy NormalDistribution # 
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Variance NormalDistribution # 
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MaybeVariance NormalDistribution # 
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Mean NormalDistribution # 
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MaybeMean NormalDistribution # 
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ContDistr NormalDistribution # 
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Distribution NormalDistribution # 
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FromSample NormalDistribution Double #

Variance is estimated using maximum likelihood method (biased estimation).

Returns Nothing if sample contains less than one element or variance is zero (all elements are equal)

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type Rep NormalDistribution # 
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Defined in Statistics.Distribution.Normal

type Rep NormalDistribution = D1 (MetaData "NormalDistribution" "Statistics.Distribution.Normal" "statistics-0.15.0.0-KYJLg9h4jsl1bBm8KLc3A8" False) (C1 (MetaCons "ND" PrefixI True) ((S1 (MetaSel (Just "mean") SourceUnpack SourceStrict DecidedStrict) (Rec0 Double) :*: S1 (MetaSel (Just "stdDev") SourceUnpack SourceStrict DecidedStrict) (Rec0 Double)) :*: (S1 (MetaSel (Just "ndPdfDenom") SourceUnpack SourceStrict DecidedStrict) (Rec0 Double) :*: S1 (MetaSel (Just "ndCdfDenom") SourceUnpack SourceStrict DecidedStrict) (Rec0 Double))))

Constructors

normalDistr #

Arguments

:: Double

Mean of distribution

-> Double

Standard deviation of distribution

-> NormalDistribution 

Create normal distribution from parameters.

IMPORTANT: prior to 0.10 release second parameter was variance not standard deviation.

normalDistrE #

Arguments

:: Double

Mean of distribution

-> Double

Standard deviation of distribution

-> Maybe NormalDistribution 

Create normal distribution from parameters.

IMPORTANT: prior to 0.10 release second parameter was variance not standard deviation.

standard :: NormalDistribution #

Standard normal distribution with mean equal to 0 and variance equal to 1