statistics-0.15.0.0: A library of statistical types, data, and functions

Copyright(c) 2016 André Szabolcs Szelp
LicenseBSD3
Maintainera.sz.szelp@gmail.com
Stabilityexperimental
Portabilityportable
Safe HaskellNone
LanguageHaskell98

Statistics.Distribution.DiscreteUniform

Contents

Description

The discrete uniform distribution. There are two parametrizations of this distribution. First is the probability distribution on an inclusive interval {1, ..., n}. This is parametrized with n only, where p_1, ..., p_n = 1/n. (discreteUniform).

The second parametrization is the uniform distribution on {a, ..., b} with probabilities p_a, ..., p_b = 1/(a-b+1). This is parametrized with a and b. (discreteUniformAB)

Synopsis

Documentation

data DiscreteUniform #

The discrete uniform distribution.

Instances
Eq DiscreteUniform # 
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Defined in Statistics.Distribution.DiscreteUniform

Data DiscreteUniform # 
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Defined in Statistics.Distribution.DiscreteUniform

Methods

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

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

toConstr :: DiscreteUniform -> Constr #

dataTypeOf :: DiscreteUniform -> DataType #

dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c DiscreteUniform) #

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

gmapT :: (forall b. Data b => b -> b) -> DiscreteUniform -> DiscreteUniform #

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

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

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

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

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

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

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

Read DiscreteUniform # 
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Defined in Statistics.Distribution.DiscreteUniform

Show DiscreteUniform # 
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Generic DiscreteUniform # 
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Defined in Statistics.Distribution.DiscreteUniform

Associated Types

type Rep DiscreteUniform :: Type -> Type #

ToJSON DiscreteUniform # 
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Defined in Statistics.Distribution.DiscreteUniform

FromJSON DiscreteUniform # 
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Binary DiscreteUniform # 
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Entropy DiscreteUniform # 
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MaybeEntropy DiscreteUniform # 
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Variance DiscreteUniform # 
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Defined in Statistics.Distribution.DiscreteUniform

MaybeVariance DiscreteUniform # 
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Mean DiscreteUniform # 
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Defined in Statistics.Distribution.DiscreteUniform

MaybeMean DiscreteUniform # 
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DiscreteDistr DiscreteUniform # 
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Defined in Statistics.Distribution.DiscreteUniform

Distribution DiscreteUniform # 
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Defined in Statistics.Distribution.DiscreteUniform

type Rep DiscreteUniform # 
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Defined in Statistics.Distribution.DiscreteUniform

type Rep DiscreteUniform = D1 (MetaData "DiscreteUniform" "Statistics.Distribution.DiscreteUniform" "statistics-0.15.0.0-KYJLg9h4jsl1bBm8KLc3A8" False) (C1 (MetaCons "U" PrefixI True) (S1 (MetaSel (Just "rangeFrom") SourceUnpack SourceStrict DecidedStrict) (Rec0 Int) :*: S1 (MetaSel (Just "rangeTo") SourceUnpack SourceStrict DecidedStrict) (Rec0 Int)))

Constructors

discreteUniform #

Arguments

:: Int

Range

-> DiscreteUniform 

Construct discrete uniform distribution on support {1, ..., n}. Range n must be >0.

discreteUniformAB #

Arguments

:: Int

Lower boundary (inclusive)

-> Int

Upper boundary (inclusive)

-> DiscreteUniform 

Construct discrete uniform distribution on support {a, ..., b}.

Accessors

rangeFrom :: DiscreteUniform -> Int #

a, the lower bound of the support {a, ..., b}

rangeTo :: DiscreteUniform -> Int #

b, the upper bound of the support {a, ..., b}