Statistics.Distribution.Lognormal

The log normal distribution. This is a continuous probability distribution that describes data whose log is clustered around a mean. For example, the multiplicative product of many independent positive random variables.

Documentation

data LognormalDistribution

The lognormal distribution.

Instances

Eq LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

(==) :: LognormalDistribution -> LognormalDistribution -> Bool

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

Data LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> LognormalDistribution -> c LognormalDistribution

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c LognormalDistribution

toConstr :: LognormalDistribution -> Constr

dataTypeOf :: LognormalDistribution -> DataType

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c LognormalDistribution)

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

gmapT :: (forall b. Data b => b -> b) -> LognormalDistribution -> LognormalDistribution

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> LognormalDistribution -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> LognormalDistribution -> r

gmapQ :: (forall d. Data d => d -> u) -> LognormalDistribution -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> LognormalDistribution -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> LognormalDistribution -> m LognormalDistribution

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> LognormalDistribution -> m LognormalDistribution

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> LognormalDistribution -> m LognormalDistribution

Read LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

readsPrec :: Int -> ReadS LognormalDistribution

readList :: ReadS [LognormalDistribution]

readPrec :: ReadPrec LognormalDistribution

readListPrec :: ReadPrec [LognormalDistribution]

Show LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

showsPrec :: Int -> LognormalDistribution -> ShowS

show :: LognormalDistribution -> String

showList :: [LognormalDistribution] -> ShowS

Generic LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Associated Types

type Rep LognormalDistribution :: Type -> Type

Methods

from :: LognormalDistribution -> Rep LognormalDistribution x

to :: Rep LognormalDistribution x -> LognormalDistribution

ToJSON LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

toJSON :: LognormalDistribution -> Value

toEncoding :: LognormalDistribution -> Encoding

toJSONList :: [LognormalDistribution] -> Value

toEncodingList :: [LognormalDistribution] -> Encoding

FromJSON LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

parseJSON :: Value -> Parser LognormalDistribution

parseJSONList :: Value -> Parser [LognormalDistribution]

Binary LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

put :: LognormalDistribution -> Put

get :: Get LognormalDistribution

putList :: [LognormalDistribution] -> Put

ContGen LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

genContVar :: StatefulGen g m => LognormalDistribution -> g -> m Double

Entropy LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

entropy :: LognormalDistribution -> Double

MaybeEntropy LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

maybeEntropy :: LognormalDistribution -> Maybe Double

Variance LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

variance :: LognormalDistribution -> Double

stdDev :: LognormalDistribution -> Double

MaybeVariance LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

maybeVariance :: LognormalDistribution -> Maybe Double

maybeStdDev :: LognormalDistribution -> Maybe Double

Mean LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

mean :: LognormalDistribution -> Double

MaybeMean LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

maybeMean :: LognormalDistribution -> Maybe Double

ContDistr LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

density :: LognormalDistribution -> Double -> Double

logDensity :: LognormalDistribution -> Double -> Double

quantile :: LognormalDistribution -> Double -> Double

complQuantile :: LognormalDistribution -> Double -> Double

Distribution LognormalDistribution

Defined in Statistics.Distribution.Lognormal

Methods

cumulative :: LognormalDistribution -> Double -> Double

complCumulative :: LognormalDistribution -> Double -> Double

FromSample LognormalDistribution Double

Variance is estimated using maximum likelihood method (biased estimation) over the log of the data.

Returns Nothing if sample contains less than one element or variance is zero (all elements are equal)

Defined in Statistics.Distribution.Lognormal

Methods

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

type Rep LognormalDistribution

Defined in Statistics.Distribution.Lognormal

type Rep LognormalDistribution = D1 ('MetaData "LognormalDistribution" "Statistics.Distribution.Lognormal" "statistics-0.16.1.0-Enynx6Q4EvxI2Qo45Shyhp" 'True) (C1 ('MetaCons "LND" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 NormalDistribution)))

Constructors

lognormalDistr

Arguments

:: Double

Mu

-> Double

Sigma

-> LognormalDistribution

Create log normal distribution from parameters.

lognormalDistrErr

Arguments

:: Double

Mu

-> Double

Sigma

-> Either String LognormalDistribution

Create log normal distribution from parameters.

lognormalDistrMeanStddevErr

Arguments

:: Double

Mu

-> Double

Sigma

-> Either String LognormalDistribution

Create log normal distribution from mean and standard deviation.

lognormalStandard :: LognormalDistribution

Standard log normal distribution with mu 0 and sigma 1.

Mean is sqrt e and variance is (e - 1) * e.