Statistics.Distribution.Geometric

The Geometric distribution. There are two variants of distribution. First is the probability distribution of the number of Bernoulli trials needed to get one success, supported on the set 1,2... Sometimes it's referred to as the shifted geometric distribution to distinguish from another one.

Second variant is probability distribution of the number of failures before first success, defined over the set 0,1...

Documentation

data GeometricDistribution

Distribution over [1..]

Instances

Eq GeometricDistribution

Methods

(==) :: GeometricDistribution -> GeometricDistribution -> Bool

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

Data GeometricDistribution

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> GeometricDistribution -> c GeometricDistribution

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c GeometricDistribution

toConstr :: GeometricDistribution -> Constr

dataTypeOf :: GeometricDistribution -> DataType

dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c GeometricDistribution)

dataCast2 :: Typeable (* -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c GeometricDistribution)

gmapT :: (forall b. Data b => b -> b) -> GeometricDistribution -> GeometricDistribution

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> GeometricDistribution -> r

gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> GeometricDistribution -> r

gmapQ :: (forall d. Data d => d -> u) -> GeometricDistribution -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> GeometricDistribution -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> GeometricDistribution -> m GeometricDistribution

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> GeometricDistribution -> m GeometricDistribution

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> GeometricDistribution -> m GeometricDistribution

Read GeometricDistribution

Methods

readsPrec :: Int -> ReadS GeometricDistribution

readList :: ReadS [GeometricDistribution]

readPrec :: ReadPrec GeometricDistribution

readListPrec :: ReadPrec [GeometricDistribution]

Show GeometricDistribution

Methods

showsPrec :: Int -> GeometricDistribution -> ShowS

show :: GeometricDistribution -> String

showList :: [GeometricDistribution] -> ShowS

Generic GeometricDistribution

Associated Types

type Rep GeometricDistribution :: * -> *

Methods

from :: GeometricDistribution -> Rep GeometricDistribution x

to :: Rep GeometricDistribution x -> GeometricDistribution

ToJSON GeometricDistribution

Methods

toJSON :: GeometricDistribution -> Value

toEncoding :: GeometricDistribution -> Encoding

toJSONList :: [GeometricDistribution] -> Value

toEncodingList :: [GeometricDistribution] -> Encoding

FromJSON GeometricDistribution

Methods

parseJSON :: Value -> Parser GeometricDistribution

parseJSONList :: Value -> Parser [GeometricDistribution]

Binary GeometricDistribution

Methods

put :: GeometricDistribution -> Put

get :: Get GeometricDistribution

putList :: [GeometricDistribution] -> Put

DiscreteGen GeometricDistribution

Methods

genDiscreteVar :: PrimMonad m => GeometricDistribution -> Gen (PrimState m) -> m Int

ContGen GeometricDistribution

Methods

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

Entropy GeometricDistribution

Methods

entropy :: GeometricDistribution -> Double

MaybeEntropy GeometricDistribution

Methods

maybeEntropy :: GeometricDistribution -> Maybe Double

Variance GeometricDistribution

Methods

variance :: GeometricDistribution -> Double

stdDev :: GeometricDistribution -> Double

MaybeVariance GeometricDistribution

Methods

maybeVariance :: GeometricDistribution -> Maybe Double

maybeStdDev :: GeometricDistribution -> Maybe Double

Mean GeometricDistribution

Methods

mean :: GeometricDistribution -> Double

MaybeMean GeometricDistribution

Methods

maybeMean :: GeometricDistribution -> Maybe Double

DiscreteDistr GeometricDistribution

Methods

probability :: GeometricDistribution -> Int -> Double

logProbability :: GeometricDistribution -> Int -> Double

Distribution GeometricDistribution

Methods

cumulative :: GeometricDistribution -> Double -> Double

complCumulative :: GeometricDistribution -> Double -> Double

type Rep GeometricDistribution

type Rep GeometricDistribution = D1 (MetaData "GeometricDistribution" "Statistics.Distribution.Geometric" "statistics-0.14.0.1-5c5AR88qYXNBEkm1yvRri0" True) (C1 (MetaCons "GD" PrefixI True) (S1 (MetaSel (Just Symbol "gdSuccess") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 Double)))

data GeometricDistribution0

Distribution over [0..]

Instances

Eq GeometricDistribution0

Methods

(==) :: GeometricDistribution0 -> GeometricDistribution0 -> Bool

(/=) :: GeometricDistribution0 -> GeometricDistribution0 -> Bool

Data GeometricDistribution0

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> GeometricDistribution0 -> c GeometricDistribution0

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c GeometricDistribution0

toConstr :: GeometricDistribution0 -> Constr

dataTypeOf :: GeometricDistribution0 -> DataType

dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c GeometricDistribution0)

dataCast2 :: Typeable (* -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c GeometricDistribution0)

gmapT :: (forall b. Data b => b -> b) -> GeometricDistribution0 -> GeometricDistribution0

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> GeometricDistribution0 -> r

gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> GeometricDistribution0 -> r

gmapQ :: (forall d. Data d => d -> u) -> GeometricDistribution0 -> [u]

gmapQi :: Int -> (forall d. Data d => d -> u) -> GeometricDistribution0 -> u

gmapM :: Monad m => (forall d. Data d => d -> m d) -> GeometricDistribution0 -> m GeometricDistribution0

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> GeometricDistribution0 -> m GeometricDistribution0

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> GeometricDistribution0 -> m GeometricDistribution0

Read GeometricDistribution0

Methods

readsPrec :: Int -> ReadS GeometricDistribution0

readList :: ReadS [GeometricDistribution0]

readPrec :: ReadPrec GeometricDistribution0

readListPrec :: ReadPrec [GeometricDistribution0]

Show GeometricDistribution0

Methods

showsPrec :: Int -> GeometricDistribution0 -> ShowS

show :: GeometricDistribution0 -> String

showList :: [GeometricDistribution0] -> ShowS

Generic GeometricDistribution0

Associated Types

type Rep GeometricDistribution0 :: * -> *

Methods

from :: GeometricDistribution0 -> Rep GeometricDistribution0 x

to :: Rep GeometricDistribution0 x -> GeometricDistribution0

ToJSON GeometricDistribution0

Methods

toJSON :: GeometricDistribution0 -> Value

toEncoding :: GeometricDistribution0 -> Encoding

toJSONList :: [GeometricDistribution0] -> Value

toEncodingList :: [GeometricDistribution0] -> Encoding

FromJSON GeometricDistribution0

Methods

parseJSON :: Value -> Parser GeometricDistribution0

parseJSONList :: Value -> Parser [GeometricDistribution0]

Binary GeometricDistribution0

Methods

put :: GeometricDistribution0 -> Put

get :: Get GeometricDistribution0

putList :: [GeometricDistribution0] -> Put

DiscreteGen GeometricDistribution0

Methods

genDiscreteVar :: PrimMonad m => GeometricDistribution0 -> Gen (PrimState m) -> m Int

ContGen GeometricDistribution0

Methods

genContVar :: PrimMonad m => GeometricDistribution0 -> Gen (PrimState m) -> m Double

Entropy GeometricDistribution0

Methods

entropy :: GeometricDistribution0 -> Double

MaybeEntropy GeometricDistribution0

Methods

maybeEntropy :: GeometricDistribution0 -> Maybe Double

Variance GeometricDistribution0

Methods

variance :: GeometricDistribution0 -> Double

stdDev :: GeometricDistribution0 -> Double

MaybeVariance GeometricDistribution0

Methods

maybeVariance :: GeometricDistribution0 -> Maybe Double

maybeStdDev :: GeometricDistribution0 -> Maybe Double

Mean GeometricDistribution0

Methods

mean :: GeometricDistribution0 -> Double

MaybeMean GeometricDistribution0

Methods

maybeMean :: GeometricDistribution0 -> Maybe Double

DiscreteDistr GeometricDistribution0

Methods

probability :: GeometricDistribution0 -> Int -> Double

logProbability :: GeometricDistribution0 -> Int -> Double

Distribution GeometricDistribution0

Methods

cumulative :: GeometricDistribution0 -> Double -> Double

complCumulative :: GeometricDistribution0 -> Double -> Double

type Rep GeometricDistribution0

type Rep GeometricDistribution0 = D1 (MetaData "GeometricDistribution0" "Statistics.Distribution.Geometric" "statistics-0.14.0.1-5c5AR88qYXNBEkm1yvRri0" True) (C1 (MetaCons "GD0" PrefixI True) (S1 (MetaSel (Just Symbol "gdSuccess0") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 Double)))

Constructors

geometric

Arguments

:: Double

Success rate

-> GeometricDistribution

Create geometric distribution.

geometricE

Arguments

:: Double

Success rate

-> Maybe GeometricDistribution

Create geometric distribution.

geometric0

Arguments

:: Double

Success rate

-> GeometricDistribution0

Create geometric distribution.

geometric0E

Arguments

:: Double

Success rate

-> Maybe GeometricDistribution0

Create geometric distribution.

Accessors

gdSuccess :: GeometricDistribution -> Double

gdSuccess0 :: GeometricDistribution0 -> Double