Copyright	(c) 2009 Bryan O'Sullivan
License	BSD3
Maintainer	bos@serpentine.com
Stability	experimental
Portability	portable
Safe Haskell	Safe-Inferred
Language	Haskell2010

Statistics.Distribution.Exponential

Contents

Constructors
Accessors

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

data ExponentialDistribution
exponential :: Double -> ExponentialDistribution
exponentialE :: Double -> Maybe ExponentialDistribution
edLambda :: ExponentialDistribution -> Double

Documentation

data ExponentialDistribution Source #

Instances

Instances details

FromJSON ExponentialDistribution Source #
Instance details Defined in Statistics.Distribution.Exponential Methods parseJSON :: Value -> Parser ExponentialDistribution # parseJSONList :: Value -> Parser [ExponentialDistribution] #
ToJSON ExponentialDistribution Source #
Instance details Defined in Statistics.Distribution.Exponential Methods toJSON :: ExponentialDistribution -> Value # toEncoding :: ExponentialDistribution -> Encoding # toJSONList :: [ExponentialDistribution] -> Value # toEncodingList :: [ExponentialDistribution] -> Encoding #
Data ExponentialDistribution Source #
Instance details 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 Source #
Instance details 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 Source #
Instance details Defined in Statistics.Distribution.Exponential Methods readsPrec :: Int -> ReadS ExponentialDistribution # readList :: ReadS [ExponentialDistribution] # readPrec :: ReadPrec ExponentialDistribution # readListPrec :: ReadPrec [ExponentialDistribution] #
Show ExponentialDistribution Source #
Instance details Defined in Statistics.Distribution.Exponential Methods showsPrec :: Int -> ExponentialDistribution -> ShowS # show :: ExponentialDistribution -> String # showList :: [ExponentialDistribution] -> ShowS #
Binary ExponentialDistribution Source #
Instance details Defined in Statistics.Distribution.Exponential Methods put :: ExponentialDistribution -> Put # get :: Get ExponentialDistribution # putList :: [ExponentialDistribution] -> Put #
Eq ExponentialDistribution Source #
Instance details Defined in Statistics.Distribution.Exponential Methods (==) :: ExponentialDistribution -> ExponentialDistribution -> Bool # (/=) :: ExponentialDistribution -> ExponentialDistribution -> Bool #
ContDistr ExponentialDistribution Source #
Instance details Defined in Statistics.Distribution.Exponential Methods density :: ExponentialDistribution -> Double -> Double Source # logDensity :: ExponentialDistribution -> Double -> Double Source # quantile :: ExponentialDistribution -> Double -> Double Source # complQuantile :: ExponentialDistribution -> Double -> Double Source #
ContGen ExponentialDistribution Source #
Instance details Defined in Statistics.Distribution.Exponential Methods genContVar :: StatefulGen g m => ExponentialDistribution -> g -> m Double Source #
Distribution ExponentialDistribution Source #
Instance details Defined in Statistics.Distribution.Exponential Methods cumulative :: ExponentialDistribution -> Double -> Double Source # complCumulative :: ExponentialDistribution -> Double -> Double Source #
Entropy ExponentialDistribution Source #
Instance details Defined in Statistics.Distribution.Exponential Methods entropy :: ExponentialDistribution -> Double Source #
MaybeEntropy ExponentialDistribution Source #
Instance details Defined in Statistics.Distribution.Exponential Methods maybeEntropy :: ExponentialDistribution -> Maybe Double Source #
MaybeMean ExponentialDistribution Source #
Instance details Defined in Statistics.Distribution.Exponential Methods maybeMean :: ExponentialDistribution -> Maybe Double Source #
MaybeVariance ExponentialDistribution Source #
Instance details Defined in Statistics.Distribution.Exponential Methods maybeVariance :: ExponentialDistribution -> Maybe Double Source # maybeStdDev :: ExponentialDistribution -> Maybe Double Source #
Mean ExponentialDistribution Source #
Instance details Defined in Statistics.Distribution.Exponential Methods mean :: ExponentialDistribution -> Double Source #
Variance ExponentialDistribution Source #
Instance details Defined in Statistics.Distribution.Exponential Methods variance :: ExponentialDistribution -> Double Source # stdDev :: ExponentialDistribution -> Double Source #
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-0.16.2.0-Iazw6pxXVUYHaurUiPE2b2" '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

edLambda :: ExponentialDistribution -> Double Source #