Copyright | (c) 2009 Bryan O'Sullivan |
---|---|
License | BSD3 |
Maintainer | bos@serpentine.com |
Stability | experimental |
Portability | portable |
Safe Haskell | None |
Language | Haskell2010 |
Statistics.Distribution.Normal
Contents
Description
The normal distribution. This is a continuous probability distribution that describes data that cluster around a mean.
Synopsis
- data NormalDistribution
- normalDistr :: Double -> Double -> NormalDistribution
- normalDistrE :: Double -> Double -> Maybe NormalDistribution
- normalDistrErr :: Double -> Double -> Either String NormalDistribution
- standard :: NormalDistribution
Documentation
data NormalDistribution Source #
The normal distribution.
Instances
FromJSON NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal Methods parseJSON :: Value -> Parser NormalDistribution parseJSONList :: Value -> Parser [NormalDistribution] omittedField :: Maybe NormalDistribution | |||||
ToJSON NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal Methods toJSON :: NormalDistribution -> Value toEncoding :: NormalDistribution -> Encoding toJSONList :: [NormalDistribution] -> Value toEncodingList :: [NormalDistribution] -> Encoding omitField :: NormalDistribution -> Bool | |||||
Data NormalDistribution Source # | |||||
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 :: 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 # | |||||
Defined in Statistics.Distribution.Normal Associated Types
Methods from :: NormalDistribution -> Rep NormalDistribution x to :: Rep NormalDistribution x -> NormalDistribution | |||||
Read NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal Methods readsPrec :: Int -> ReadS NormalDistribution readList :: ReadS [NormalDistribution] readPrec :: ReadPrec NormalDistribution readListPrec :: ReadPrec [NormalDistribution] | |||||
Show NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal Methods showsPrec :: Int -> NormalDistribution -> ShowS show :: NormalDistribution -> String showList :: [NormalDistribution] -> ShowS | |||||
Binary NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal Methods put :: NormalDistribution -> Put get :: Get NormalDistribution putList :: [NormalDistribution] -> Put | |||||
Eq NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal Methods (==) :: NormalDistribution -> NormalDistribution -> Bool (/=) :: NormalDistribution -> NormalDistribution -> Bool | |||||
ContDistr NormalDistribution Source # | |||||
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 # | |||||
ContGen NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal Methods genContVar :: StatefulGen g m => NormalDistribution -> g -> m Double Source # | |||||
Distribution NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal Methods cumulative :: NormalDistribution -> Double -> Double Source # complCumulative :: NormalDistribution -> Double -> Double Source # | |||||
Entropy NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal Methods entropy :: NormalDistribution -> Double Source # | |||||
MaybeEntropy NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal Methods maybeEntropy :: NormalDistribution -> Maybe Double Source # | |||||
MaybeMean NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal Methods maybeMean :: NormalDistribution -> Maybe Double Source # | |||||
MaybeVariance NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal Methods maybeVariance :: NormalDistribution -> Maybe Double Source # maybeStdDev :: NormalDistribution -> Maybe Double Source # | |||||
Mean NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal Methods mean :: NormalDistribution -> Double Source # | |||||
Variance NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal Methods variance :: NormalDistribution -> Double Source # stdDev :: NormalDistribution -> Double Source # | |||||
FromSample NormalDistribution Double Source # | Variance is estimated using maximum likelihood method (biased estimation). Returns | ||||
Defined in Statistics.Distribution.Normal Methods fromSample :: Vector v Double => v Double -> Maybe NormalDistribution Source # | |||||
type Rep NormalDistribution Source # | |||||
Defined in Statistics.Distribution.Normal type Rep NormalDistribution = D1 ('MetaData "NormalDistribution" "Statistics.Distribution.Normal" "statistics-0.16.2.1-GC0UmpORwJ8SU4BdSiJEf" '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
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.
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.
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