statistics-0.16.2.1: A library of statistical types, data, and functions
Copyright(c) 2009 Bryan O'Sullivan
LicenseBSD3
Maintainerbos@serpentine.com
Stabilityexperimental
Portabilityportable
Safe HaskellSafe-Inferred
LanguageHaskell2010

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 Source #

The normal distribution.

Instances

Instances details
FromJSON NormalDistribution Source # 
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ToJSON NormalDistribution Source # 
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Data NormalDistribution Source # 
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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 :: forall r r'. (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 #

Generic NormalDistribution Source # 
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Associated Types

type Rep NormalDistribution :: Type -> Type #

Read NormalDistribution Source # 
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Show NormalDistribution Source # 
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Binary NormalDistribution Source # 
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Eq NormalDistribution Source # 
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ContDistr NormalDistribution Source # 
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ContGen NormalDistribution Source # 
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Distribution NormalDistribution Source # 
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Entropy NormalDistribution Source # 
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MaybeEntropy NormalDistribution Source # 
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MaybeMean NormalDistribution Source # 
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MaybeVariance NormalDistribution Source # 
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Mean NormalDistribution Source # 
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Variance NormalDistribution Source # 
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FromSample NormalDistribution Double Source #

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 Source # 
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type Rep NormalDistribution = D1 ('MetaData "NormalDistribution" "Statistics.Distribution.Normal" "statistics-0.16.2.1-34qObKIlIVGJpKYv9daW0Y" '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 Source #

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 Source #

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.

normalDistrErr Source #

Arguments

:: Double

Mean of distribution

-> Double

Standard deviation of distribution

-> Either String NormalDistribution 

Create normal distribution from parameters.

standard :: NormalDistribution Source #

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