statistics-0.16.3.0: 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

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 #

#### Instances

Instances details

FromJSON ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods parseJSON :: Value -> Parser ExponentialDistribution # parseJSONList :: Value -> Parser [ExponentialDistribution] # omittedField :: Maybe ExponentialDistribution #
ToJSON ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods toJSON :: ExponentialDistribution -> Value # toEncoding :: ExponentialDistribution -> Encoding # toJSONList :: [ExponentialDistribution] -> Value # toEncodingList :: [ExponentialDistribution] -> Encoding # omitField :: ExponentialDistribution -> Bool #
Binary ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods put :: ExponentialDistribution -> Put # get :: Get ExponentialDistribution # putList :: [ExponentialDistribution] -> Put #
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-0.16.3.0-JhFVwN7Kv9y2XSvDlj54t" 'True) (C1 ('MetaCons "ED" 'PrefixI 'True) (S1 ('MetaSel ('Just "edLambda") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Double)))

Methods

from :: ExponentialDistribution -> Rep ExponentialDistribution x #

to :: Rep ExponentialDistribution x -> ExponentialDistribution #

Read ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods readsPrec :: Int -> ReadS ExponentialDistribution # readList :: ReadS [ExponentialDistribution] # readPrec :: ReadPrec ExponentialDistribution # readListPrec :: ReadPrec [ExponentialDistribution] #
Show ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods showsPrec :: Int -> ExponentialDistribution -> ShowS # show :: ExponentialDistribution -> String # showList :: [ExponentialDistribution] -> ShowS #
Eq ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods (==) :: ExponentialDistribution -> ExponentialDistribution -> Bool # (/=) :: ExponentialDistribution -> ExponentialDistribution -> Bool #
ContDistr ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods density :: ExponentialDistribution -> Double -> Double # logDensity :: ExponentialDistribution -> Double -> Double # quantile :: ExponentialDistribution -> Double -> Double # complQuantile :: ExponentialDistribution -> Double -> Double #
ContGen ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods genContVar :: StatefulGen g m => ExponentialDistribution -> g -> m Double #
Distribution ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods cumulative :: ExponentialDistribution -> Double -> Double # complCumulative :: ExponentialDistribution -> Double -> Double #
Entropy ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods entropy :: ExponentialDistribution -> Double #
MaybeEntropy ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods maybeEntropy :: ExponentialDistribution -> Maybe Double #
MaybeMean ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods maybeMean :: ExponentialDistribution -> Maybe Double #
MaybeVariance ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods maybeVariance :: ExponentialDistribution -> Maybe Double # maybeStdDev :: ExponentialDistribution -> Maybe Double #
Mean ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods mean :: ExponentialDistribution -> Double #
Variance ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential Methods variance :: ExponentialDistribution -> Double # stdDev :: ExponentialDistribution -> Double #
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 Methods fromSample :: Vector v Double => v Double -> Maybe ExponentialDistribution #
type Rep ExponentialDistribution # |
Instance details Defined in Statistics.Distribution.Exponential type Rep ExponentialDistribution = D1 ('MetaData "ExponentialDistribution" "Statistics.Distribution.Exponential" "statistics-0.16.3.0-JhFVwN7Kv9y2XSvDlj54t" '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

edLambda :: ExponentialDistribution -> Double #