Statistics.Distribution.Exponential

The exponential distribution. This is the continunous probability distribution of the times between events in a poisson process, in which events occur continuously and independently at a constant average rate.

Documentation

data ExponentialDistribution

Instances

Eq ExponentialDistribution

Methods

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

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

Data ExponentialDistribution

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 :: (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

Read ExponentialDistribution

Methods

readsPrec :: Int -> ReadS ExponentialDistribution

readList :: ReadS [ExponentialDistribution]

readPrec :: ReadPrec ExponentialDistribution

readListPrec :: ReadPrec [ExponentialDistribution]

Show ExponentialDistribution

Methods

showsPrec :: Int -> ExponentialDistribution -> ShowS

show :: ExponentialDistribution -> String

showList :: [ExponentialDistribution] -> ShowS

Generic ExponentialDistribution

Associated Types

type Rep ExponentialDistribution :: * -> *

Methods

from :: ExponentialDistribution -> Rep ExponentialDistribution x

to :: Rep ExponentialDistribution x -> ExponentialDistribution

ToJSON ExponentialDistribution

Methods

toJSON :: ExponentialDistribution -> Value

toEncoding :: ExponentialDistribution -> Encoding

FromJSON ExponentialDistribution

Methods

parseJSON :: Value -> Parser ExponentialDistribution

Binary ExponentialDistribution

Methods

put :: ExponentialDistribution -> Put

get :: Get ExponentialDistribution

putList :: [ExponentialDistribution] -> Put

ContGen ExponentialDistribution

Methods

genContVar :: PrimMonad m => ExponentialDistribution -> Gen (PrimState m) -> m Double

Entropy ExponentialDistribution

Methods

entropy :: ExponentialDistribution -> Double

MaybeEntropy ExponentialDistribution

Methods

maybeEntropy :: ExponentialDistribution -> Maybe Double

Variance ExponentialDistribution

Methods

variance :: ExponentialDistribution -> Double

stdDev :: ExponentialDistribution -> Double

MaybeVariance ExponentialDistribution

Methods

maybeVariance :: ExponentialDistribution -> Maybe Double

maybeStdDev :: ExponentialDistribution -> Maybe Double

Mean ExponentialDistribution

Methods

mean :: ExponentialDistribution -> Double

MaybeMean ExponentialDistribution

Methods

maybeMean :: ExponentialDistribution -> Maybe Double

ContDistr ExponentialDistribution

Methods

density :: ExponentialDistribution -> Double -> Double

quantile :: ExponentialDistribution -> Double -> Double

logDensity :: ExponentialDistribution -> Double -> Double

Distribution ExponentialDistribution

Methods

cumulative :: ExponentialDistribution -> Double -> Double

complCumulative :: ExponentialDistribution -> Double -> Double

type Rep ExponentialDistribution

type Rep ExponentialDistribution = D1 (MetaData "ExponentialDistribution" "Statistics.Distribution.Exponential" "statistics-0.13.3.0-4cjYwUsSjEQGDMfnb5oeqe" True) (C1 (MetaCons "ED" PrefixI True) (S1 (MetaSel (Just Symbol "edLambda") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 Double)))

Constructors

exponential

Arguments

:: Double

Rate parameter.

-> ExponentialDistribution

Create an exponential distribution.

exponentialFromSample :: Sample -> ExponentialDistribution

Create exponential distribution from sample. No tests are made to check whether it truly is exponential.

Accessors

edLambda :: ExponentialDistribution -> Double