Modulerandom-fu-0.3.0.1Haskell2010

Data.Random.Distribution.Binomial

1 type
10 values

Packagerandom-fu-0.3.0.1
Exports11
LanguageHaskell2010
LicenceLicenseRef-PublicDomain
SourceBinomial.hs

valueintegralBinomial

:: (Integral a, Floating b, Ord b, Distribution Beta b, Distribution StdUniform b)
=> a
-> b
-> RVarT m a

valueintegralBinomialCDF :: (Integral a, Real b) => a -> b -> a -> Double

valueintegralBinomialPDF :: (Integral a, Real b) => a -> b -> a -> Double

The probability of getting exactly k successes in n trials is given by the probability mass function:

f(k;n,p) = \Pr(X = k) = \binom n k p^k(1-p)^{n-k}

Note that in integralBinomialPDF the parameters of the mass function are given first and the range of the random variable distributed according to the binomial distribution is given last. That is, f(2;4,0.5) is calculated by integralBinomialPDF 4 0.5 2.

valueintegralBinomialLogPdf :: (Integral a, Real b) => a -> b -> a -> Double

We use the method given in "Fast and accurate computation of binomial probabilities, Loader, C", http://octave.1599824.n4.nabble.com/attachment/3829107/0/loader2000Fast.pdf

valuefloatingBinomial

:: (RealFrac a, Distribution (Binomial b) Integer)
=> a
-> b
-> RVar a

valuefloatingBinomialCDF

:: (CDF (Binomial b) Integer, RealFrac a)
=> a
-> b
-> a
-> Double

valuefloatingBinomialPDF

:: (PDF (Binomial b) Integer, RealFrac a)
=> a
-> b
-> a
-> Double

valuefloatingBinomialLogPDF

:: (PDF (Binomial b) Integer, RealFrac a)
=> a
-> b
-> a
-> Double

valuebinomial :: Distribution (Binomial b) a => a -> b -> RVar a

valuebinomialT :: Distribution (Binomial b) a => a -> b -> RVarT m a

datadata Binomial b a

Constructors

Binomial a b

Instances39CDF, Distribution, PDF, …

CDF (Binomial b) Integer => CDF (Binomial b) DoubleDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
CDF (Binomial b) Integer => CDF (Binomial b) FloatDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Integer) => CDF (Binomial b) IntegerDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Int16) => CDF (Binomial b) Int16Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Int32) => CDF (Binomial b) Int32Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Int64) => CDF (Binomial b) Int64Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Int8) => CDF (Binomial b) Int8Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Word16) => CDF (Binomial b) Word16Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Word32) => CDF (Binomial b) Word32Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Word64) => CDF (Binomial b) Word64Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Word8) => CDF (Binomial b) Word8Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Int) => CDF (Binomial b) IntDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Word) => CDF (Binomial b) WordDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
Distribution (Binomial b) Integer => Distribution (Binomial b) DoubleDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
Distribution (Binomial b) Integer => Distribution (Binomial b) FloatDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) IntegerDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Int16Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Int32Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Int64Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Int8Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Word16Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Word32Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Word64Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Word8Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) IntDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) WordDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
PDF (Binomial b) Integer => PDF (Binomial b) DoubleDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
PDF (Binomial b) Integer => PDF (Binomial b) FloatDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Integer) => PDF (Binomial b) IntegerDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Int16) => PDF (Binomial b) Int16Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Int32) => PDF (Binomial b) Int32Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Int64) => PDF (Binomial b) Int64Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Int8) => PDF (Binomial b) Int8Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Word16) => PDF (Binomial b) Word16Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Word32) => PDF (Binomial b) Word32Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Word64) => PDF (Binomial b) Word64Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Word8) => PDF (Binomial b) Word8Defined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Int) => PDF (Binomial b) IntDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial
(Real b, Distribution (Binomial b) Word) => PDF (Binomial b) WordDefined in random-fu-0.3.0.1 · Data.Random.Distribution.Binomial