statistics-0.16.2.1: A library of statistical types, data, and functions
Copyright(c) 2009 Bryan O'Sullivan
LicenseBSD3
Maintainerbos@serpentine.com
Stabilityexperimental
Portabilityportable
Safe HaskellNone
LanguageHaskell2010

Statistics.Distribution.Geometric

Description

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...

Synopsis

Documentation

data GeometricDistribution Source #

Distribution over [1..]

Instances

Instances details
FromJSON GeometricDistribution Source # 
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Defined in Statistics.Distribution.Geometric

ToJSON GeometricDistribution Source # 
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Data GeometricDistribution Source # 
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Defined in Statistics.Distribution.Geometric

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 :: forall r r'. (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

Generic GeometricDistribution Source # 
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Defined in Statistics.Distribution.Geometric

Associated Types

type Rep GeometricDistribution 
Instance details

Defined in Statistics.Distribution.Geometric

type Rep GeometricDistribution = D1 ('MetaData "GeometricDistribution" "Statistics.Distribution.Geometric" "statistics-0.16.2.1-GC0UmpORwJ8SU4BdSiJEf" 'True) (C1 ('MetaCons "GD" 'PrefixI 'True) (S1 ('MetaSel ('Just "gdSuccess") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Double)))
Read GeometricDistribution Source # 
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Defined in Statistics.Distribution.Geometric

Show GeometricDistribution Source # 
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Methods

showsPrec :: Int -> GeometricDistribution -> ShowS

show :: GeometricDistribution -> String

showList :: [GeometricDistribution] -> ShowS

Binary GeometricDistribution Source # 
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Eq GeometricDistribution Source # 
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ContGen GeometricDistribution Source # 
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Methods

genContVar :: StatefulGen g m => GeometricDistribution -> g -> m Double Source #

DiscreteDistr GeometricDistribution Source # 
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DiscreteGen GeometricDistribution Source # 
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Methods

genDiscreteVar :: StatefulGen g m => GeometricDistribution -> g -> m Int Source #

Distribution GeometricDistribution Source # 
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Defined in Statistics.Distribution.Geometric

Methods

cumulative :: GeometricDistribution -> Double -> Double Source #

complCumulative :: GeometricDistribution -> Double -> Double Source #

Entropy GeometricDistribution Source # 
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MaybeEntropy GeometricDistribution Source # 
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Methods

maybeEntropy :: GeometricDistribution -> Maybe Double Source #

MaybeMean GeometricDistribution Source # 
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Methods

maybeMean :: GeometricDistribution -> Maybe Double Source #

MaybeVariance GeometricDistribution Source # 
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Mean GeometricDistribution Source # 
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Methods

mean :: GeometricDistribution -> Double Source #

Variance GeometricDistribution Source # 
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type Rep GeometricDistribution Source # 
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Defined in Statistics.Distribution.Geometric

type Rep GeometricDistribution = D1 ('MetaData "GeometricDistribution" "Statistics.Distribution.Geometric" "statistics-0.16.2.1-GC0UmpORwJ8SU4BdSiJEf" 'True) (C1 ('MetaCons "GD" 'PrefixI 'True) (S1 ('MetaSel ('Just "gdSuccess") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Double)))

data GeometricDistribution0 Source #

Distribution over [0..]

Instances

Instances details
FromJSON GeometricDistribution0 Source # 
Instance details

Defined in Statistics.Distribution.Geometric

ToJSON GeometricDistribution0 Source # 
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Defined in Statistics.Distribution.Geometric

Data GeometricDistribution0 Source # 
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Defined in Statistics.Distribution.Geometric

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 :: forall r r'. (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

Generic GeometricDistribution0 Source # 
Instance details

Defined in Statistics.Distribution.Geometric

Associated Types

type Rep GeometricDistribution0 
Instance details

Defined in Statistics.Distribution.Geometric

type Rep GeometricDistribution0 = D1 ('MetaData "GeometricDistribution0" "Statistics.Distribution.Geometric" "statistics-0.16.2.1-GC0UmpORwJ8SU4BdSiJEf" 'True) (C1 ('MetaCons "GD0" 'PrefixI 'True) (S1 ('MetaSel ('Just "gdSuccess0") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Double)))
Read GeometricDistribution0 Source # 
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Defined in Statistics.Distribution.Geometric

Show GeometricDistribution0 Source # 
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Binary GeometricDistribution0 Source # 
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Eq GeometricDistribution0 Source # 
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ContGen GeometricDistribution0 Source # 
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Methods

genContVar :: StatefulGen g m => GeometricDistribution0 -> g -> m Double Source #

DiscreteDistr GeometricDistribution0 Source # 
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Defined in Statistics.Distribution.Geometric

DiscreteGen GeometricDistribution0 Source # 
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Defined in Statistics.Distribution.Geometric

Methods

genDiscreteVar :: StatefulGen g m => GeometricDistribution0 -> g -> m Int Source #

Distribution GeometricDistribution0 Source # 
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Defined in Statistics.Distribution.Geometric

Methods

cumulative :: GeometricDistribution0 -> Double -> Double Source #

complCumulative :: GeometricDistribution0 -> Double -> Double Source #

Entropy GeometricDistribution0 Source # 
Instance details

Defined in Statistics.Distribution.Geometric

MaybeEntropy GeometricDistribution0 Source # 
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Defined in Statistics.Distribution.Geometric

Methods

maybeEntropy :: GeometricDistribution0 -> Maybe Double Source #

MaybeMean GeometricDistribution0 Source # 
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Defined in Statistics.Distribution.Geometric

Methods

maybeMean :: GeometricDistribution0 -> Maybe Double Source #

MaybeVariance GeometricDistribution0 Source # 
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Defined in Statistics.Distribution.Geometric

Mean GeometricDistribution0 Source # 
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Defined in Statistics.Distribution.Geometric

Methods

mean :: GeometricDistribution0 -> Double Source #

Variance GeometricDistribution0 Source # 
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Defined in Statistics.Distribution.Geometric

type Rep GeometricDistribution0 Source # 
Instance details

Defined in Statistics.Distribution.Geometric

type Rep GeometricDistribution0 = D1 ('MetaData "GeometricDistribution0" "Statistics.Distribution.Geometric" "statistics-0.16.2.1-GC0UmpORwJ8SU4BdSiJEf" 'True) (C1 ('MetaCons "GD0" 'PrefixI 'True) (S1 ('MetaSel ('Just "gdSuccess0") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Double)))

Constructors

geometric Source #

Arguments

:: Double

Success rate

-> GeometricDistribution 

Create geometric distribution.

geometricE Source #

Arguments

:: Double

Success rate

-> Maybe GeometricDistribution 

Create geometric distribution.

geometric0 Source #

Arguments

:: Double

Success rate

-> GeometricDistribution0 

Create geometric distribution.

geometric0E Source #

Arguments

:: Double

Success rate

-> Maybe GeometricDistribution0 

Create geometric distribution.

Accessors