statistics-0.15.0.0: A library of statistical types, data, and functions

Copyright(c) 2009 2011 Bryan O'Sullivan
LicenseBSD3
Maintainerbos@serpentine.com
Stabilityexperimental
Portabilityportable
Safe HaskellNone
LanguageHaskell98

Statistics.Distribution.Poisson

Contents

Description

The Poisson distribution. This is the discrete probability distribution of a number of events occurring in a fixed interval if these events occur with a known average rate, and occur independently from each other within that interval.

Synopsis

Documentation

data PoissonDistribution Source #

Instances
Eq PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

(==) :: PoissonDistribution -> PoissonDistribution -> Bool #

(/=) :: PoissonDistribution -> PoissonDistribution -> Bool #

Data PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

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

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

toConstr :: PoissonDistribution -> Constr #

dataTypeOf :: PoissonDistribution -> DataType #

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

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

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

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

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

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

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

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

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

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

Read PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

readsPrec :: Int -> ReadS PoissonDistribution #

readList :: ReadS [PoissonDistribution] #

readPrec :: ReadPrec PoissonDistribution #

readListPrec :: ReadPrec [PoissonDistribution] #

Show PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

showsPrec :: Int -> PoissonDistribution -> ShowS #

show :: PoissonDistribution -> String #

showList :: [PoissonDistribution] -> ShowS #

Generic PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Associated Types

type Rep PoissonDistribution :: * -> * #

Methods

from :: PoissonDistribution -> Rep PoissonDistribution x #

to :: Rep PoissonDistribution x -> PoissonDistribution #

ToJSON PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

toJSON :: PoissonDistribution -> Value #

toEncoding :: PoissonDistribution -> Encoding #

toJSONList :: [PoissonDistribution] -> Value #

toEncodingList :: [PoissonDistribution] -> Encoding #

FromJSON PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

parseJSON :: Value -> Parser PoissonDistribution #

parseJSONList :: Value -> Parser [PoissonDistribution] #

Binary PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

put :: PoissonDistribution -> Put #

get :: Get PoissonDistribution #

putList :: [PoissonDistribution] -> Put #

Entropy PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

entropy :: PoissonDistribution -> Double Source #

MaybeEntropy PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

maybeEntropy :: PoissonDistribution -> Maybe Double Source #

Variance PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

variance :: PoissonDistribution -> Double Source #

stdDev :: PoissonDistribution -> Double Source #

MaybeVariance PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

maybeVariance :: PoissonDistribution -> Maybe Double Source #

maybeStdDev :: PoissonDistribution -> Maybe Double Source #

Mean PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

mean :: PoissonDistribution -> Double Source #

MaybeMean PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

maybeMean :: PoissonDistribution -> Maybe Double Source #

DiscreteDistr PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

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

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

Distribution PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

Methods

cumulative :: PoissonDistribution -> Double -> Double Source #

complCumulative :: PoissonDistribution -> Double -> Double Source #

type Rep PoissonDistribution Source # 
Instance details

Defined in Statistics.Distribution.Poisson

type Rep PoissonDistribution = D1 (MetaData "PoissonDistribution" "Statistics.Distribution.Poisson" "statistics-0.15.0.0-AkglZgHZAgx3cdskkvnxTn" True) (C1 (MetaCons "PD" PrefixI True) (S1 (MetaSel (Just "poissonLambda") NoSourceUnpackedness NoSourceStrictness DecidedLazy) (Rec0 Double)))

Constructors

poisson :: Double -> PoissonDistribution Source #

Create Poisson distribution.

poissonE :: Double -> Maybe PoissonDistribution Source #

Create Poisson distribution.

Accessors

poissonLambda :: PoissonDistribution -> Double Source #

References