Statistics.Distribution.Exponential

The exponential distribution. This is the continuous probability distribution of the times between events in a Poisson process, in which events occur continuously and independently at a constant average rate.

Documentation

data ExponentialDistribution

Instances

FromJSON ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

parseJSON :: Value -> Parser ExponentialDistribution

parseJSONList :: Value -> Parser [ExponentialDistribution]

ToJSON ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

toJSON :: ExponentialDistribution -> Value

toEncoding :: ExponentialDistribution -> Encoding

toJSONList :: [ExponentialDistribution] -> Value

toEncodingList :: [ExponentialDistribution] -> Encoding

Data ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

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

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

toConstr :: ExponentialDistribution -> Constr

dataTypeOf :: ExponentialDistribution -> DataType

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

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

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

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

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

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

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

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

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

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

Generic ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Associated Types

type Rep ExponentialDistribution :: Type -> Type

Methods

from :: ExponentialDistribution -> Rep ExponentialDistribution x

to :: Rep ExponentialDistribution x -> ExponentialDistribution

Read ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

readsPrec :: Int -> ReadS ExponentialDistribution

readList :: ReadS [ExponentialDistribution]

readPrec :: ReadPrec ExponentialDistribution

readListPrec :: ReadPrec [ExponentialDistribution]

Show ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

showsPrec :: Int -> ExponentialDistribution -> ShowS

show :: ExponentialDistribution -> String

showList :: [ExponentialDistribution] -> ShowS

Binary ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

put :: ExponentialDistribution -> Put

get :: Get ExponentialDistribution

putList :: [ExponentialDistribution] -> Put

Eq ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

(==) :: ExponentialDistribution -> ExponentialDistribution -> Bool

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

ContDistr ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

density :: ExponentialDistribution -> Double -> Double

logDensity :: ExponentialDistribution -> Double -> Double

quantile :: ExponentialDistribution -> Double -> Double

complQuantile :: ExponentialDistribution -> Double -> Double

ContGen ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

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

Distribution ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

cumulative :: ExponentialDistribution -> Double -> Double

complCumulative :: ExponentialDistribution -> Double -> Double

Entropy ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

entropy :: ExponentialDistribution -> Double

MaybeEntropy ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

maybeEntropy :: ExponentialDistribution -> Maybe Double

MaybeMean ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

maybeMean :: ExponentialDistribution -> Maybe Double

MaybeVariance ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

maybeVariance :: ExponentialDistribution -> Maybe Double

maybeStdDev :: ExponentialDistribution -> Maybe Double

Mean ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

mean :: ExponentialDistribution -> Double

Variance ExponentialDistribution

Defined in Statistics.Distribution.Exponential

Methods

variance :: ExponentialDistribution -> Double

stdDev :: ExponentialDistribution -> Double

FromSample ExponentialDistribution Double

Create exponential distribution from sample. Estimates the rate with the maximum likelihood estimator, which is biased. Returns Nothing if the sample mean does not exist or is not positive.

Defined in Statistics.Distribution.Exponential

Methods

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

type Rep ExponentialDistribution

Defined in Statistics.Distribution.Exponential

type Rep ExponentialDistribution = D1 ('MetaData "ExponentialDistribution" "Statistics.Distribution.Exponential" "statistics-0.16.2.1-34qObKIlIVGJpKYv9daW0Y" 'True) (C1 ('MetaCons "ED" 'PrefixI 'True) (S1 ('MetaSel ('Just "edLambda") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Double)))

Constructors

exponential

Arguments

:: Double

Rate parameter.

-> ExponentialDistribution

Create an exponential distribution.

exponentialE

Arguments

:: Double

Rate parameter.

-> Maybe ExponentialDistribution

Create an exponential distribution.

Accessors

edLambda :: ExponentialDistribution -> Double