Statistics.Distribution.Normal

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

Documentation

data NormalDistribution

The normal distribution.

Instances

Eq NormalDistribution

Defined in Statistics.Distribution.Normal

Methods

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

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

Data NormalDistribution

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

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

Defined in Statistics.Distribution.Normal

Methods

readsPrec :: Int -> ReadS NormalDistribution

readList :: ReadS [NormalDistribution]

readPrec :: ReadPrec NormalDistribution

readListPrec :: ReadPrec [NormalDistribution]

Show NormalDistribution

Defined in Statistics.Distribution.Normal

Methods

showsPrec :: Int -> NormalDistribution -> ShowS

show :: NormalDistribution -> String

showList :: [NormalDistribution] -> ShowS

Generic NormalDistribution

Defined in Statistics.Distribution.Normal

Associated Types

type Rep NormalDistribution :: * -> *

Methods

from :: NormalDistribution -> Rep NormalDistribution x

to :: Rep NormalDistribution x -> NormalDistribution

ToJSON NormalDistribution

Defined in Statistics.Distribution.Normal

Methods

toJSON :: NormalDistribution -> Value

toEncoding :: NormalDistribution -> Encoding

toJSONList :: [NormalDistribution] -> Value

toEncodingList :: [NormalDistribution] -> Encoding

FromJSON NormalDistribution

Defined in Statistics.Distribution.Normal

Methods

parseJSON :: Value -> Parser NormalDistribution

parseJSONList :: Value -> Parser [NormalDistribution]

Binary NormalDistribution

Defined in Statistics.Distribution.Normal

Methods

put :: NormalDistribution -> Put

get :: Get NormalDistribution

putList :: [NormalDistribution] -> Put

ContGen NormalDistribution

Defined in Statistics.Distribution.Normal

Methods

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

Entropy NormalDistribution

Defined in Statistics.Distribution.Normal

Methods

entropy :: NormalDistribution -> Double

MaybeEntropy NormalDistribution

Defined in Statistics.Distribution.Normal

Methods

maybeEntropy :: NormalDistribution -> Maybe Double

Variance NormalDistribution

Defined in Statistics.Distribution.Normal

Methods

variance :: NormalDistribution -> Double

stdDev :: NormalDistribution -> Double

MaybeVariance NormalDistribution

Defined in Statistics.Distribution.Normal

Methods

maybeVariance :: NormalDistribution -> Maybe Double

maybeStdDev :: NormalDistribution -> Maybe Double

Mean NormalDistribution

Defined in Statistics.Distribution.Normal

Methods

mean :: NormalDistribution -> Double

MaybeMean NormalDistribution

Defined in Statistics.Distribution.Normal

Methods

maybeMean :: NormalDistribution -> Maybe Double

ContDistr NormalDistribution

Defined in Statistics.Distribution.Normal

Methods

density :: NormalDistribution -> Double -> Double

quantile :: NormalDistribution -> Double -> Double

complQuantile :: NormalDistribution -> Double -> Double

logDensity :: NormalDistribution -> Double -> Double

Distribution NormalDistribution

Defined in Statistics.Distribution.Normal

Methods

cumulative :: NormalDistribution -> Double -> Double

complCumulative :: NormalDistribution -> Double -> Double

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)

Defined in Statistics.Distribution.Normal

Methods

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

type Rep NormalDistribution

Defined in Statistics.Distribution.Normal

type Rep NormalDistribution = D1 (MetaData "NormalDistribution" "Statistics.Distribution.Normal" "statistics-0.15.0.0-AkglZgHZAgx3cdskkvnxTn" 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