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module Probability.Distribution.Binomial where
import Probability.Random
import MCMC
foreign import bpcall "Distribution:" binomial_density :: Int -> Double -> Int -> LogDouble
foreign import bpcall "Distribution:" sample_binomial :: Int -> Double -> IO Int
data Binomial = Binomial Int Prob
instance Dist Binomial where
type Result Binomial = Int
dist_name _ = "binomial"
instance IOSampleable Binomial where
sampleIO (Binomial n p) = sample_binomial n (toFloating p)
instance HasPdf Binomial where
pdf (Binomial n p) x = binomial_density n (toFloating p) x
instance Dist1D Binomial where
cdf (Binomial n p) x = undefined
lower_bound (Binomial n p) = Just 0
upper_bound (Binomial n p) = Just n
instance MaybeMean Binomial where
maybeMean (Binomial n p) = Just $ fromIntegral n * (toFloating p)
instance Mean Binomial
instance MaybeVariance Binomial where
maybeVariance (Binomial n p) = Just $ toFloating $ fromIntegral n * p * (1-p)
instance Variance Binomial
instance HasAnnotatedPdf Binomial where
annotated_densities dist = make_densities $ pdf dist
instance Sampleable Binomial where
sample dist@(Binomial n _) = RanDistribution2 dist (binomial_effect n)
binomial :: Int -> Double -> Binomial
binomial n p = Binomial n (toFloating p)
binomial_bounds n = integer_between 0 n
binomial_effect n x = do
add_move $ sliceSampleInteger x (binomial_bounds n)
add_move $ incDecMH x (binomial_bounds n)
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