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 #

Instances

Instances details
FromJSON ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

ToJSON ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

Data ExponentialDistribution # 
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 # 
Instance details

Defined in Statistics.Distribution.Exponential

Associated Types

type Rep ExponentialDistribution 
Instance details

Defined in Statistics.Distribution.Exponential

type Rep ExponentialDistribution = D1 ('MetaData "ExponentialDistribution" "Statistics.Distribution.Exponential" "statistics-0.16.2.1-9EJt18csjGeB8Yk5f7eGk5" 'True) (C1 ('MetaCons "ED" 'PrefixI 'True) (S1 ('MetaSel ('Just "edLambda") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Double)))
Read ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

Show ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

Binary ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

Eq ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

ContDistr ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

ContGen ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

Distribution ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

Entropy ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

MaybeEntropy ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

MaybeMean ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

MaybeVariance ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

Mean ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

Variance ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

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.

Instance details

Defined in Statistics.Distribution.Exponential

type Rep ExponentialDistribution # 
Instance details

Defined in Statistics.Distribution.Exponential

type Rep ExponentialDistribution = D1 ('MetaData "ExponentialDistribution" "Statistics.Distribution.Exponential" "statistics-0.16.2.1-9EJt18csjGeB8Yk5f7eGk5" '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