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 HaskellSafe-Inferred
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

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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 :: Type -> Type #

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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ContGen ExponentialDistribution Source # 
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Distribution ExponentialDistribution Source # 
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Entropy ExponentialDistribution Source # 
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MaybeEntropy ExponentialDistribution Source # 
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MaybeMean ExponentialDistribution Source # 
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MaybeVariance ExponentialDistribution Source # 
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Mean ExponentialDistribution Source # 
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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.

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type Rep ExponentialDistribution Source # 
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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 Source #

Arguments

:: Double

Rate parameter.

-> ExponentialDistribution 

Create an exponential distribution.

exponentialE Source #

Arguments

:: Double

Rate parameter.

-> Maybe ExponentialDistribution 

Create an exponential distribution.

Accessors