statistics-0.16.1.2: A library of statistical types, data, and functions
Copyright (c) 2009 Bryan O'Sullivan
License BSD3
Maintainer bos@serpentine.com
Stability experimental
Portability portable
Safe Haskell None
Language Haskell2010

Statistics.Distribution.Binomial

Description

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 .

Synopsis

Documentation

data BinomialDistribution Source #

The binomial distribution.

Instances

Instances details
Eq BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

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

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

Data BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

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

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

toConstr :: BinomialDistribution -> Constr Source #

dataTypeOf :: BinomialDistribution -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Read BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

readsPrec :: Int -> ReadS BinomialDistribution Source #

readList :: ReadS [ BinomialDistribution ] Source #

readPrec :: ReadPrec BinomialDistribution Source #

readListPrec :: ReadPrec [ BinomialDistribution ] Source #

Show BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

showsPrec :: Int -> BinomialDistribution -> ShowS Source #

show :: BinomialDistribution -> String Source #

showList :: [ BinomialDistribution ] -> ShowS Source #

Generic BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Associated Types

type Rep BinomialDistribution :: Type -> Type Source #

Methods

from :: BinomialDistribution -> Rep BinomialDistribution x Source #

to :: Rep BinomialDistribution x -> BinomialDistribution Source #

ToJSON BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

toJSON :: BinomialDistribution -> Value Source #

toEncoding :: BinomialDistribution -> Encoding Source #

toJSONList :: [ BinomialDistribution ] -> Value Source #

toEncodingList :: [ BinomialDistribution ] -> Encoding Source #

FromJSON BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

parseJSON :: Value -> Parser BinomialDistribution Source #

parseJSONList :: Value -> Parser [ BinomialDistribution ] Source #

Binary BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

put :: BinomialDistribution -> Put Source #

get :: Get BinomialDistribution Source #

putList :: [ BinomialDistribution ] -> Put Source #

Entropy BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

entropy :: BinomialDistribution -> Double Source #

MaybeEntropy BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

maybeEntropy :: BinomialDistribution -> Maybe Double Source #

Variance BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

variance :: BinomialDistribution -> Double Source #

stdDev :: BinomialDistribution -> Double Source #

MaybeVariance BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

maybeVariance :: BinomialDistribution -> Maybe Double Source #

maybeStdDev :: BinomialDistribution -> Maybe Double Source #

Mean BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

mean :: BinomialDistribution -> Double Source #

MaybeMean BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

maybeMean :: BinomialDistribution -> Maybe Double Source #

DiscreteDistr BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

probability :: BinomialDistribution -> Int -> Double Source #

logProbability :: BinomialDistribution -> Int -> Double Source #

Distribution BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

Methods

cumulative :: BinomialDistribution -> Double -> Double Source #

complCumulative :: BinomialDistribution -> Double -> Double Source #

type Rep BinomialDistribution Source #
Instance details

Defined in Statistics.Distribution.Binomial

type Rep BinomialDistribution = D1 (' MetaData "BinomialDistribution" "Statistics.Distribution.Binomial" "statistics-0.16.1.2-IkOne9g3oJ1vhHVSRLPUO" ' False ) ( C1 (' MetaCons "BD" ' PrefixI ' True ) ( S1 (' MetaSel (' Just "bdTrials") ' SourceUnpack ' SourceStrict ' DecidedStrict ) ( Rec0 Int ) :*: S1 (' MetaSel (' Just "bdProbability") ' SourceUnpack ' SourceStrict ' DecidedStrict ) ( Rec0 Double )))

Constructors

binomial Source #

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 Source #

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 Source #

Number of trials.

bdProbability :: BinomialDistribution -> Double Source #

Probability.