statistics-0.16.2.1: A library of statistical types, data, and functions
Copyright(c) 2009 Bryan O'Sullivan
LicenseBSD3
Maintainerbos@serpentine.com
Stabilityexperimental
Portabilityportable
Safe HaskellNone
LanguageHaskell2010

Statistics.Distribution.Exponential

Description

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.

Synopsis

Documentation

data ExponentialDistribution Source #

Instances

Instances details
FromJSON ExponentialDistribution Source # 
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ToJSON ExponentialDistribution Source # 
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Data ExponentialDistribution Source # 
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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 Source # 
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Associated Types

type Rep ExponentialDistribution 
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Defined in Statistics.Distribution.Exponential

type Rep ExponentialDistribution = D1 ('MetaData "ExponentialDistribution" "Statistics.Distribution.Exponential" "statistics-0.16.2.1-GC0UmpORwJ8SU4BdSiJEf" 'True) (C1 ('MetaCons "ED" 'PrefixI 'True) (S1 ('MetaSel ('Just "edLambda") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Double)))
Read ExponentialDistribution Source # 
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Show ExponentialDistribution Source # 
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Binary ExponentialDistribution Source # 
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Eq ExponentialDistribution Source # 
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ContDistr ExponentialDistribution Source # 
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Methods

density :: ExponentialDistribution -> Double -> Double Source #

logDensity :: ExponentialDistribution -> Double -> Double Source #

quantile :: ExponentialDistribution -> Double -> Double Source #

complQuantile :: ExponentialDistribution -> Double -> Double Source #

ContGen ExponentialDistribution Source # 
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Methods

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

Distribution ExponentialDistribution Source # 
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Methods

cumulative :: ExponentialDistribution -> Double -> Double Source #

complCumulative :: ExponentialDistribution -> Double -> Double Source #

Entropy ExponentialDistribution Source # 
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MaybeEntropy ExponentialDistribution Source # 
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Methods

maybeEntropy :: ExponentialDistribution -> Maybe Double Source #

MaybeMean ExponentialDistribution Source # 
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Methods

maybeMean :: ExponentialDistribution -> Maybe Double Source #

MaybeVariance ExponentialDistribution Source # 
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Mean ExponentialDistribution Source # 
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Methods

mean :: ExponentialDistribution -> Double Source #

Variance ExponentialDistribution Source # 
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FromSample ExponentialDistribution Double Source #

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.

Instance details

Defined in Statistics.Distribution.Exponential

Methods

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

type Rep ExponentialDistribution Source # 
Instance details

Defined in Statistics.Distribution.Exponential

type Rep ExponentialDistribution = D1 ('MetaData "ExponentialDistribution" "Statistics.Distribution.Exponential" "statistics-0.16.2.1-GC0UmpORwJ8SU4BdSiJEf" 'True) (C1 ('MetaCons "ED" 'PrefixI 'True) (S1 ('MetaSel ('Just "edLambda") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Double)))

Constructors

exponential Source #

Arguments

:: Double

Rate parameter.

-> ExponentialDistribution 

Create an exponential distribution.

exponentialE Source #

Arguments

:: Double

Rate parameter.

-> Maybe ExponentialDistribution 

Create an exponential distribution.

Accessors