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

toJSONList :: [ExponentialDistribution] -> Value

toEncodingList :: [ExponentialDistribution] -> Encoding

FromJSON ExponentialDistribution

Methods

parseJSON :: Value -> Parser ExponentialDistribution

parseJSONList :: 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

complQuantile :: ExponentialDistribution -> Double -> Double

logDensity :: ExponentialDistribution -> Double -> Double

Distribution ExponentialDistribution

Methods

cumulative :: ExponentialDistribution -> Double -> Double

complCumulative :: ExponentialDistribution -> Double -> Double

FromSample ExponentialDistribution Double

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.

Methods

fromSample :: Vector v Double => v Double -> Maybe ExponentialDistribution

type Rep ExponentialDistribution

type Rep ExponentialDistribution = D1 (MetaData "ExponentialDistribution" "Statistics.Distribution.Exponential" "statistics-0.14.0.1-5c5AR88qYXNBEkm1yvRri0" 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.

exponentialE

Arguments

:: Double

Rate parameter.

-> Maybe ExponentialDistribution

Create an exponential distribution.

Accessors

edLambda :: ExponentialDistribution -> Double