statistics-0.16.1.2: A library of statistical types, data, and functions
Copyright (c) 2009 Bryan O'Sullivan
License BSD3
Maintainer bos@serpentine.com
Stability experimental
Portability portable
Safe Haskell None
Language Haskell2010

Statistics.Distribution.Normal

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
Eq NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

(==) :: NormalDistribution -> NormalDistribution -> Bool Source #

(/=) :: NormalDistribution -> NormalDistribution -> Bool Source #

Data NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

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

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

toConstr :: NormalDistribution -> Constr Source #

dataTypeOf :: NormalDistribution -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Read NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

readsPrec :: Int -> ReadS NormalDistribution Source #

readList :: ReadS [ NormalDistribution ] Source #

readPrec :: ReadPrec NormalDistribution Source #

readListPrec :: ReadPrec [ NormalDistribution ] Source #

Show NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

showsPrec :: Int -> NormalDistribution -> ShowS Source #

show :: NormalDistribution -> String Source #

showList :: [ NormalDistribution ] -> ShowS Source #

Generic NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Associated Types

type Rep NormalDistribution :: Type -> Type Source #

Methods

from :: NormalDistribution -> Rep NormalDistribution x Source #

to :: Rep NormalDistribution x -> NormalDistribution Source #

ToJSON NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

toJSON :: NormalDistribution -> Value Source #

toEncoding :: NormalDistribution -> Encoding Source #

toJSONList :: [ NormalDistribution ] -> Value Source #

toEncodingList :: [ NormalDistribution ] -> Encoding Source #

FromJSON NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

parseJSON :: Value -> Parser NormalDistribution Source #

parseJSONList :: Value -> Parser [ NormalDistribution ] Source #

Binary NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

put :: NormalDistribution -> Put Source #

get :: Get NormalDistribution Source #

putList :: [ NormalDistribution ] -> Put Source #

ContGen NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

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

Entropy NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

entropy :: NormalDistribution -> Double Source #

MaybeEntropy NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

maybeEntropy :: NormalDistribution -> Maybe Double Source #

Variance NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

variance :: NormalDistribution -> Double Source #

stdDev :: NormalDistribution -> Double Source #

MaybeVariance NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

maybeVariance :: NormalDistribution -> Maybe Double Source #

maybeStdDev :: NormalDistribution -> Maybe Double Source #

Mean NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

mean :: NormalDistribution -> Double Source #

MaybeMean NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

maybeMean :: NormalDistribution -> Maybe Double Source #

ContDistr NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

density :: NormalDistribution -> Double -> Double Source #

logDensity :: NormalDistribution -> Double -> Double Source #

quantile :: NormalDistribution -> Double -> Double Source #

complQuantile :: NormalDistribution -> Double -> Double Source #

Distribution NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

Methods

cumulative :: NormalDistribution -> Double -> Double Source #

complCumulative :: NormalDistribution -> Double -> Double Source #

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)

Instance details

Defined in Statistics.Distribution.Normal

Methods

fromSample :: Vector v Double => v Double -> Maybe NormalDistribution Source #

type Rep NormalDistribution Source #
Instance details

Defined in Statistics.Distribution.Normal

type Rep NormalDistribution = D1 (' MetaData "NormalDistribution" "Statistics.Distribution.Normal" "statistics-0.16.1.2-IkOne9g3oJ1vhHVSRLPUO" ' 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