Copyright	(c) 2022 Lorenz Minder
License	BSD3
Maintainer	lminder@gmx.net
Stability	experimental
Portability	portable
Safe Haskell	Safe-Inferred
Language	Haskell2010

Statistics.Distribution.NegativeBinomial

Contents

Constructors
Accessors

Description

The negative binomial distribution. This is the discrete probability distribution of the number of failures in a sequence of independent yes/no experiments before a specified number of successes r. Each Bernoulli trial has success probability p in the range (0, 1]. The parameter r must be positive, but does not have to be integer.

Synopsis

data NegativeBinomialDistribution
negativeBinomial :: Double -> Double -> NegativeBinomialDistribution
negativeBinomialE :: Double -> Double -> Maybe NegativeBinomialDistribution
nbdSuccesses :: NegativeBinomialDistribution -> Double
nbdProbability :: NegativeBinomialDistribution -> Double

Documentation

data NegativeBinomialDistribution Source #

The negative binomial distribution.

Instances

Instances details

FromJSON NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods parseJSON :: Value -> Parser NegativeBinomialDistribution # parseJSONList :: Value -> Parser [NegativeBinomialDistribution] #
ToJSON NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods toJSON :: NegativeBinomialDistribution -> Value # toEncoding :: NegativeBinomialDistribution -> Encoding # toJSONList :: [NegativeBinomialDistribution] -> Value # toEncodingList :: [NegativeBinomialDistribution] -> Encoding #
Data NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> NegativeBinomialDistribution -> c NegativeBinomialDistribution # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c NegativeBinomialDistribution # toConstr :: NegativeBinomialDistribution -> Constr # dataTypeOf :: NegativeBinomialDistribution -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c NegativeBinomialDistribution) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c NegativeBinomialDistribution) # gmapT :: (forall b. Data b => b -> b) -> NegativeBinomialDistribution -> NegativeBinomialDistribution # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> NegativeBinomialDistribution -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> NegativeBinomialDistribution -> r # gmapQ :: (forall d. Data d => d -> u) -> NegativeBinomialDistribution -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> NegativeBinomialDistribution -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> NegativeBinomialDistribution -> m NegativeBinomialDistribution # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> NegativeBinomialDistribution -> m NegativeBinomialDistribution # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> NegativeBinomialDistribution -> m NegativeBinomialDistribution #
Generic NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Associated Types type Rep NegativeBinomialDistribution :: Type -> Type # Methods from :: NegativeBinomialDistribution -> Rep NegativeBinomialDistribution x # to :: Rep NegativeBinomialDistribution x -> NegativeBinomialDistribution #
Read NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods readsPrec :: Int -> ReadS NegativeBinomialDistribution # readList :: ReadS [NegativeBinomialDistribution] # readPrec :: ReadPrec NegativeBinomialDistribution # readListPrec :: ReadPrec [NegativeBinomialDistribution] #
Show NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods showsPrec :: Int -> NegativeBinomialDistribution -> ShowS # show :: NegativeBinomialDistribution -> String # showList :: [NegativeBinomialDistribution] -> ShowS #
Binary NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods put :: NegativeBinomialDistribution -> Put # get :: Get NegativeBinomialDistribution # putList :: [NegativeBinomialDistribution] -> Put #
Eq NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods (==) :: NegativeBinomialDistribution -> NegativeBinomialDistribution -> Bool # (/=) :: NegativeBinomialDistribution -> NegativeBinomialDistribution -> Bool #
DiscreteDistr NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods probability :: NegativeBinomialDistribution -> Int -> Double Source # logProbability :: NegativeBinomialDistribution -> Int -> Double Source #
Distribution NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods cumulative :: NegativeBinomialDistribution -> Double -> Double Source # complCumulative :: NegativeBinomialDistribution -> Double -> Double Source #
Entropy NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods entropy :: NegativeBinomialDistribution -> Double Source #
MaybeEntropy NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods maybeEntropy :: NegativeBinomialDistribution -> Maybe Double Source #
MaybeMean NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods maybeMean :: NegativeBinomialDistribution -> Maybe Double Source #
MaybeVariance NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods maybeVariance :: NegativeBinomialDistribution -> Maybe Double Source # maybeStdDev :: NegativeBinomialDistribution -> Maybe Double Source #
Mean NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods mean :: NegativeBinomialDistribution -> Double Source #
Variance NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial Methods variance :: NegativeBinomialDistribution -> Double Source # stdDev :: NegativeBinomialDistribution -> Double Source #
type Rep NegativeBinomialDistribution Source #
Instance details Defined in Statistics.Distribution.NegativeBinomial type Rep NegativeBinomialDistribution = D1 ('MetaData "NegativeBinomialDistribution" "Statistics.Distribution.NegativeBinomial" "statistics-0.16.2.0-Iazw6pxXVUYHaurUiPE2b2" 'False) (C1 ('MetaCons "NBD" 'PrefixI 'True) (S1 ('MetaSel ('Just "nbdSuccesses") 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Double) :*: S1 ('MetaSel ('Just "nbdProbability") 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Double)))

Constructors

negativeBinomial Source #

Arguments

:: Double	Number of successes.
-> Double	Success probability.
-> NegativeBinomialDistribution

Construct negative binomial distribution. Number of failures r must be positive and probability must be in (0,1] range

negativeBinomialE Source #

Arguments

:: Double	Number of successes.
-> Double	Success probability.
-> Maybe NegativeBinomialDistribution

Construct negative binomial distribution. Number of failures r must be positive and probability must be in (0,1] range

Accessors

nbdSuccesses :: NegativeBinomialDistribution -> Double Source #

Number of successes until stop

nbdProbability :: NegativeBinomialDistribution -> Double Source #

Success probability.