Statistics.Distribution.NegativeBinomial

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.

Documentation

data NegativeBinomialDistribution

The negative binomial distribution.

Instances

FromJSON NegativeBinomialDistribution

Defined in Statistics.Distribution.NegativeBinomial

Methods

parseJSON :: Value -> Parser NegativeBinomialDistribution

parseJSONList :: Value -> Parser [NegativeBinomialDistribution]

ToJSON NegativeBinomialDistribution

Defined in Statistics.Distribution.NegativeBinomial

Methods

toJSON :: NegativeBinomialDistribution -> Value

toEncoding :: NegativeBinomialDistribution -> Encoding

toJSONList :: [NegativeBinomialDistribution] -> Value

toEncodingList :: [NegativeBinomialDistribution] -> Encoding

Data NegativeBinomialDistribution

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

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

Defined in Statistics.Distribution.NegativeBinomial

Methods

readsPrec :: Int -> ReadS NegativeBinomialDistribution

readList :: ReadS [NegativeBinomialDistribution]

readPrec :: ReadPrec NegativeBinomialDistribution

readListPrec :: ReadPrec [NegativeBinomialDistribution]

Show NegativeBinomialDistribution

Defined in Statistics.Distribution.NegativeBinomial

Methods

showsPrec :: Int -> NegativeBinomialDistribution -> ShowS

show :: NegativeBinomialDistribution -> String

showList :: [NegativeBinomialDistribution] -> ShowS

Binary NegativeBinomialDistribution

Defined in Statistics.Distribution.NegativeBinomial

Methods

put :: NegativeBinomialDistribution -> Put

get :: Get NegativeBinomialDistribution

putList :: [NegativeBinomialDistribution] -> Put

Eq NegativeBinomialDistribution

Defined in Statistics.Distribution.NegativeBinomial

Methods

(==) :: NegativeBinomialDistribution -> NegativeBinomialDistribution -> Bool

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

DiscreteDistr NegativeBinomialDistribution

Defined in Statistics.Distribution.NegativeBinomial

Methods

probability :: NegativeBinomialDistribution -> Int -> Double

logProbability :: NegativeBinomialDistribution -> Int -> Double

Distribution NegativeBinomialDistribution

Defined in Statistics.Distribution.NegativeBinomial

Methods

cumulative :: NegativeBinomialDistribution -> Double -> Double

complCumulative :: NegativeBinomialDistribution -> Double -> Double

Entropy NegativeBinomialDistribution

Defined in Statistics.Distribution.NegativeBinomial

Methods

entropy :: NegativeBinomialDistribution -> Double

MaybeEntropy NegativeBinomialDistribution

Defined in Statistics.Distribution.NegativeBinomial

Methods

maybeEntropy :: NegativeBinomialDistribution -> Maybe Double

MaybeMean NegativeBinomialDistribution

Defined in Statistics.Distribution.NegativeBinomial

Methods

maybeMean :: NegativeBinomialDistribution -> Maybe Double

MaybeVariance NegativeBinomialDistribution

Defined in Statistics.Distribution.NegativeBinomial

Methods

maybeVariance :: NegativeBinomialDistribution -> Maybe Double

maybeStdDev :: NegativeBinomialDistribution -> Maybe Double

Mean NegativeBinomialDistribution

Defined in Statistics.Distribution.NegativeBinomial

Methods

mean :: NegativeBinomialDistribution -> Double

Variance NegativeBinomialDistribution

Defined in Statistics.Distribution.NegativeBinomial

Methods

variance :: NegativeBinomialDistribution -> Double

stdDev :: NegativeBinomialDistribution -> Double

type Rep NegativeBinomialDistribution

Defined in Statistics.Distribution.NegativeBinomial

type Rep NegativeBinomialDistribution = D1 ('MetaData "NegativeBinomialDistribution" "Statistics.Distribution.NegativeBinomial" "statistics-0.16.2.1-34qObKIlIVGJpKYv9daW0Y" '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

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

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

Number of successes until stop

nbdProbability :: NegativeBinomialDistribution -> Double

Success probability.