random-fu-0.2.7.0: Random number generation

Safe HaskellNone
LanguageHaskell98

Data.Random.Distribution.Binomial

Synopsis

Documentation

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

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

integralBinomialPDF :: (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.

integralBinomialLogPdf :: (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

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

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

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

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

binomial :: Distribution (Binomial b) a => a -> b -> RVar a #

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

data Binomial b a #

Constructors

Binomial a b 
Instances
(Real b, Distribution (Binomial b) Integer) => CDF (Binomial b) Integer # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

cdf :: Binomial b Integer -> Integer -> Double #

(Real b, Distribution (Binomial b) Int) => CDF (Binomial b) Int # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

cdf :: Binomial b Int -> Int -> Double #

(Real b, Distribution (Binomial b) Int8) => CDF (Binomial b) Int8 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

cdf :: Binomial b Int8 -> Int8 -> Double #

(Real b, Distribution (Binomial b) Int16) => CDF (Binomial b) Int16 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

cdf :: Binomial b Int16 -> Int16 -> Double #

(Real b, Distribution (Binomial b) Int32) => CDF (Binomial b) Int32 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

cdf :: Binomial b Int32 -> Int32 -> Double #

(Real b, Distribution (Binomial b) Int64) => CDF (Binomial b) Int64 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

cdf :: Binomial b Int64 -> Int64 -> Double #

(Real b, Distribution (Binomial b) Word) => CDF (Binomial b) Word # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

cdf :: Binomial b Word -> Word -> Double #

(Real b, Distribution (Binomial b) Word8) => CDF (Binomial b) Word8 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

cdf :: Binomial b Word8 -> Word8 -> Double #

(Real b, Distribution (Binomial b) Word16) => CDF (Binomial b) Word16 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

cdf :: Binomial b Word16 -> Word16 -> Double #

(Real b, Distribution (Binomial b) Word32) => CDF (Binomial b) Word32 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

cdf :: Binomial b Word32 -> Word32 -> Double #

(Real b, Distribution (Binomial b) Word64) => CDF (Binomial b) Word64 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

cdf :: Binomial b Word64 -> Word64 -> Double #

CDF (Binomial b) Integer => CDF (Binomial b) Float # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

cdf :: Binomial b Float -> Float -> Double #

CDF (Binomial b) Integer => CDF (Binomial b) Double # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

cdf :: Binomial b Double -> Double -> Double #

(Real b, Distribution (Binomial b) Integer) => PDF (Binomial b) Integer # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

pdf :: Binomial b Integer -> Integer -> Double #

logPdf :: Binomial b Integer -> Integer -> Double #

(Real b, Distribution (Binomial b) Int) => PDF (Binomial b) Int # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

pdf :: Binomial b Int -> Int -> Double #

logPdf :: Binomial b Int -> Int -> Double #

(Real b, Distribution (Binomial b) Int8) => PDF (Binomial b) Int8 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

pdf :: Binomial b Int8 -> Int8 -> Double #

logPdf :: Binomial b Int8 -> Int8 -> Double #

(Real b, Distribution (Binomial b) Int16) => PDF (Binomial b) Int16 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

pdf :: Binomial b Int16 -> Int16 -> Double #

logPdf :: Binomial b Int16 -> Int16 -> Double #

(Real b, Distribution (Binomial b) Int32) => PDF (Binomial b) Int32 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

pdf :: Binomial b Int32 -> Int32 -> Double #

logPdf :: Binomial b Int32 -> Int32 -> Double #

(Real b, Distribution (Binomial b) Int64) => PDF (Binomial b) Int64 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

pdf :: Binomial b Int64 -> Int64 -> Double #

logPdf :: Binomial b Int64 -> Int64 -> Double #

(Real b, Distribution (Binomial b) Word) => PDF (Binomial b) Word # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

pdf :: Binomial b Word -> Word -> Double #

logPdf :: Binomial b Word -> Word -> Double #

(Real b, Distribution (Binomial b) Word8) => PDF (Binomial b) Word8 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

pdf :: Binomial b Word8 -> Word8 -> Double #

logPdf :: Binomial b Word8 -> Word8 -> Double #

(Real b, Distribution (Binomial b) Word16) => PDF (Binomial b) Word16 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

pdf :: Binomial b Word16 -> Word16 -> Double #

logPdf :: Binomial b Word16 -> Word16 -> Double #

(Real b, Distribution (Binomial b) Word32) => PDF (Binomial b) Word32 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

pdf :: Binomial b Word32 -> Word32 -> Double #

logPdf :: Binomial b Word32 -> Word32 -> Double #

(Real b, Distribution (Binomial b) Word64) => PDF (Binomial b) Word64 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

pdf :: Binomial b Word64 -> Word64 -> Double #

logPdf :: Binomial b Word64 -> Word64 -> Double #

PDF (Binomial b) Integer => PDF (Binomial b) Float # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

pdf :: Binomial b Float -> Float -> Double #

logPdf :: Binomial b Float -> Float -> Double #

PDF (Binomial b) Integer => PDF (Binomial b) Double # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

pdf :: Binomial b Double -> Double -> Double #

logPdf :: Binomial b Double -> Double -> Double #

(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Integer # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

rvar :: Binomial b Integer -> RVar Integer #

rvarT :: Binomial b Integer -> RVarT n Integer #

(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Int # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

rvar :: Binomial b Int -> RVar Int #

rvarT :: Binomial b Int -> RVarT n Int #

(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Int8 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

rvar :: Binomial b Int8 -> RVar Int8 #

rvarT :: Binomial b Int8 -> RVarT n Int8 #

(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Int16 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

rvar :: Binomial b Int16 -> RVar Int16 #

rvarT :: Binomial b Int16 -> RVarT n Int16 #

(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Int32 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

rvar :: Binomial b Int32 -> RVar Int32 #

rvarT :: Binomial b Int32 -> RVarT n Int32 #

(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Int64 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

rvar :: Binomial b Int64 -> RVar Int64 #

rvarT :: Binomial b Int64 -> RVarT n Int64 #

(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Word # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

rvar :: Binomial b Word -> RVar Word #

rvarT :: Binomial b Word -> RVarT n Word #

(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Word8 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

rvar :: Binomial b Word8 -> RVar Word8 #

rvarT :: Binomial b Word8 -> RVarT n Word8 #

(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Word16 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

rvar :: Binomial b Word16 -> RVar Word16 #

rvarT :: Binomial b Word16 -> RVarT n Word16 #

(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Word32 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

rvar :: Binomial b Word32 -> RVar Word32 #

rvarT :: Binomial b Word32 -> RVarT n Word32 #

(Floating b, Ord b, Distribution Beta b, Distribution StdUniform b) => Distribution (Binomial b) Word64 # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

rvar :: Binomial b Word64 -> RVar Word64 #

rvarT :: Binomial b Word64 -> RVarT n Word64 #

Distribution (Binomial b) Integer => Distribution (Binomial b) Float # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

rvar :: Binomial b Float -> RVar Float #

rvarT :: Binomial b Float -> RVarT n Float #

Distribution (Binomial b) Integer => Distribution (Binomial b) Double # 
Instance details

Defined in Data.Random.Distribution.Binomial

Methods

rvar :: Binomial b Double -> RVar Double #

rvarT :: Binomial b Double -> RVarT n Double #