Statistics.Distribution.Binomial

The binomial distribution. This is the discrete probability distribution of the number of successes in a sequence of n independent yes/no experiments, each of which yields success with probability p.

Documentation

data BinomialDistribution

The binomial distribution.

Instances

Eq BinomialDistribution

Methods

(==) :: BinomialDistribution -> BinomialDistribution -> Bool

(/=) :: BinomialDistribution -> BinomialDistribution -> Bool

Data BinomialDistribution

Methods

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

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

toConstr :: BinomialDistribution -> Constr

dataTypeOf :: BinomialDistribution -> DataType

dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c BinomialDistribution)

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

gmapT :: (forall b. Data b => b -> b) -> BinomialDistribution -> BinomialDistribution

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

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

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

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

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

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

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

Read BinomialDistribution

Methods

readsPrec :: Int -> ReadS BinomialDistribution

readList :: ReadS [BinomialDistribution]

readPrec :: ReadPrec BinomialDistribution

readListPrec :: ReadPrec [BinomialDistribution]

Show BinomialDistribution

Methods

showsPrec :: Int -> BinomialDistribution -> ShowS

show :: BinomialDistribution -> String

showList :: [BinomialDistribution] -> ShowS

Generic BinomialDistribution

Associated Types

type Rep BinomialDistribution :: * -> *

Methods

from :: BinomialDistribution -> Rep BinomialDistribution x

to :: Rep BinomialDistribution x -> BinomialDistribution

ToJSON BinomialDistribution

Methods

toJSON :: BinomialDistribution -> Value

toEncoding :: BinomialDistribution -> Encoding

toJSONList :: [BinomialDistribution] -> Value

toEncodingList :: [BinomialDistribution] -> Encoding

FromJSON BinomialDistribution

Methods

parseJSON :: Value -> Parser BinomialDistribution

parseJSONList :: Value -> Parser [BinomialDistribution]

Binary BinomialDistribution

Methods

put :: BinomialDistribution -> Put

get :: Get BinomialDistribution

putList :: [BinomialDistribution] -> Put

Entropy BinomialDistribution

Methods

entropy :: BinomialDistribution -> Double

MaybeEntropy BinomialDistribution

Methods

maybeEntropy :: BinomialDistribution -> Maybe Double

Variance BinomialDistribution

Methods

variance :: BinomialDistribution -> Double

stdDev :: BinomialDistribution -> Double

MaybeVariance BinomialDistribution

Methods

maybeVariance :: BinomialDistribution -> Maybe Double

maybeStdDev :: BinomialDistribution -> Maybe Double

Mean BinomialDistribution

Methods

mean :: BinomialDistribution -> Double

MaybeMean BinomialDistribution

Methods

maybeMean :: BinomialDistribution -> Maybe Double

DiscreteDistr BinomialDistribution

Methods

probability :: BinomialDistribution -> Int -> Double

logProbability :: BinomialDistribution -> Int -> Double

Distribution BinomialDistribution

Methods

cumulative :: BinomialDistribution -> Double -> Double

complCumulative :: BinomialDistribution -> Double -> Double

type Rep BinomialDistribution

type Rep BinomialDistribution = D1 (MetaData "BinomialDistribution" "Statistics.Distribution.Binomial" "statistics-0.14.0.2-9wDz1lVU92ZDJSrAe5uHzb" False) (C1 (MetaCons "BD" PrefixI True) ((:*:) (S1 (MetaSel (Just Symbol "bdTrials") SourceUnpack SourceStrict DecidedUnpack) (Rec0 Int)) (S1 (MetaSel (Just Symbol "bdProbability") SourceUnpack SourceStrict DecidedUnpack) (Rec0 Double))))

Constructors

binomial

Arguments

:: Int

Number of trials.

-> Double

Probability.

-> BinomialDistribution

Construct binomial distribution. Number of trials must be non-negative and probability must be in [0,1] range

binomialE

Arguments

:: Int

Number of trials.

-> Double

Probability.

-> Maybe BinomialDistribution

Construct binomial distribution. Number of trials must be non-negative and probability must be in [0,1] range

Accessors

bdTrials :: BinomialDistribution -> Int

Number of trials.

bdProbability :: BinomialDistribution -> Double

Probability.