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

Methods

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

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

Data NormalDistribution

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

Methods

readsPrec :: Int -> ReadS NormalDistribution

readList :: ReadS [NormalDistribution]

readPrec :: ReadPrec NormalDistribution

readListPrec :: ReadPrec [NormalDistribution]

Show NormalDistribution

Methods

showsPrec :: Int -> NormalDistribution -> ShowS

show :: NormalDistribution -> String

showList :: [NormalDistribution] -> ShowS

Generic NormalDistribution

Associated Types

type Rep NormalDistribution :: * -> *

Methods

from :: NormalDistribution -> Rep NormalDistribution x

to :: Rep NormalDistribution x -> NormalDistribution

ToJSON NormalDistribution

Methods

toJSON :: NormalDistribution -> Value

toEncoding :: NormalDistribution -> Encoding

toJSONList :: [NormalDistribution] -> Value

toEncodingList :: [NormalDistribution] -> Encoding

FromJSON NormalDistribution

Methods

parseJSON :: Value -> Parser NormalDistribution

parseJSONList :: Value -> Parser [NormalDistribution]

Binary NormalDistribution

Methods

put :: NormalDistribution -> Put

get :: Get NormalDistribution

putList :: [NormalDistribution] -> Put

ContGen NormalDistribution

Methods

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

Entropy NormalDistribution

Methods

entropy :: NormalDistribution -> Double

MaybeEntropy NormalDistribution

Methods

maybeEntropy :: NormalDistribution -> Maybe Double

Variance NormalDistribution

Methods

variance :: NormalDistribution -> Double

stdDev :: NormalDistribution -> Double

MaybeVariance NormalDistribution

Methods

maybeVariance :: NormalDistribution -> Maybe Double

maybeStdDev :: NormalDistribution -> Maybe Double

Mean NormalDistribution

Methods

mean :: NormalDistribution -> Double

MaybeMean NormalDistribution

Methods

maybeMean :: NormalDistribution -> Maybe Double

ContDistr NormalDistribution

Methods

density :: NormalDistribution -> Double -> Double

quantile :: NormalDistribution -> Double -> Double

complQuantile :: NormalDistribution -> Double -> Double

logDensity :: NormalDistribution -> Double -> Double

Distribution NormalDistribution

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)

Methods

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

type Rep NormalDistribution

type Rep NormalDistribution = D1 (MetaData "NormalDistribution" "Statistics.Distribution.Normal" "statistics-0.14.0.0-9xPMo3QbnR7BEP0FkvUcUB" False) (C1 (MetaCons "ND" PrefixI True) ((:*:) ((:*:) (S1 (MetaSel (Just Symbol "mean") SourceUnpack SourceStrict DecidedUnpack) (Rec0 Double)) (S1 (MetaSel (Just Symbol "stdDev") SourceUnpack SourceStrict DecidedUnpack) (Rec0 Double))) ((:*:) (S1 (MetaSel (Just Symbol "ndPdfDenom") SourceUnpack SourceStrict DecidedUnpack) (Rec0 Double)) (S1 (MetaSel (Just Symbol "ndCdfDenom") SourceUnpack SourceStrict DecidedUnpack) (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