statistics-0.16.1.2: A library of statistical types, data, and functions
Copyright (c) 2009 Bryan O'Sullivan
License BSD3
Maintainer bos@serpentine.com
Stability experimental
Portability portable
Safe Haskell None
Language Haskell2010

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
Eq ExponentialDistribution Source #
Instance details

Defined in Statistics.Distribution.Exponential

Methods

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

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

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 Source #

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

toConstr :: ExponentialDistribution -> Constr Source #

dataTypeOf :: ExponentialDistribution -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Read ExponentialDistribution Source #
Instance details

Defined in Statistics.Distribution.Exponential

Methods

readsPrec :: Int -> ReadS ExponentialDistribution Source #

readList :: ReadS [ ExponentialDistribution ] Source #

readPrec :: ReadPrec ExponentialDistribution Source #

readListPrec :: ReadPrec [ ExponentialDistribution ] Source #

Show ExponentialDistribution Source #
Instance details

Defined in Statistics.Distribution.Exponential

Methods

showsPrec :: Int -> ExponentialDistribution -> ShowS Source #

show :: ExponentialDistribution -> String Source #

showList :: [ ExponentialDistribution ] -> ShowS Source #

Generic ExponentialDistribution Source #
Instance details

Defined in Statistics.Distribution.Exponential

Associated Types

type Rep ExponentialDistribution :: Type -> Type Source #

Methods

from :: ExponentialDistribution -> Rep ExponentialDistribution x Source #

to :: Rep ExponentialDistribution x -> ExponentialDistribution Source #

ToJSON ExponentialDistribution Source #
Instance details

Defined in Statistics.Distribution.Exponential

Methods

toJSON :: ExponentialDistribution -> Value Source #

toEncoding :: ExponentialDistribution -> Encoding Source #

toJSONList :: [ ExponentialDistribution ] -> Value Source #

toEncodingList :: [ ExponentialDistribution ] -> Encoding Source #

FromJSON ExponentialDistribution Source #
Instance details

Defined in Statistics.Distribution.Exponential

Methods

parseJSON :: Value -> Parser ExponentialDistribution Source #

parseJSONList :: Value -> Parser [ ExponentialDistribution ] Source #

Binary ExponentialDistribution Source #
Instance details

Defined in Statistics.Distribution.Exponential

Methods

put :: ExponentialDistribution -> Put Source #

get :: Get ExponentialDistribution Source #

putList :: [ ExponentialDistribution ] -> Put Source #

ContGen ExponentialDistribution Source #
Instance details

Defined in Statistics.Distribution.Exponential

Methods

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

Variance ExponentialDistribution Source #
Instance details

Defined in Statistics.Distribution.Exponential

Methods

variance :: ExponentialDistribution -> Double Source #

stdDev :: ExponentialDistribution -> 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 #

MaybeMean ExponentialDistribution Source #
Instance details

Defined in Statistics.Distribution.Exponential

Methods

maybeMean :: ExponentialDistribution -> Maybe Double Source #

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 #

Distribution ExponentialDistribution Source #
Instance details

Defined in Statistics.Distribution.Exponential

Methods

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

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

FromSample ExponentialDistribution Double Source #

Create exponential distribution from sample. Returns Nothing if sample is empty or contains negative elements. No other tests are made to check whether it truly is exponential.

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-0.16.1.2-IkOne9g3oJ1vhHVSRLPUO" ' 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 #