statistics-0.16.1.2: A library of statistical types, data, and functions
Copyright (c) 2009 2011 Bryan O'Sullivan
License BSD3
Maintainer bos@serpentine.com
Stability experimental
Portability portable
Safe Haskell None
Language Haskell2010

Statistics.Distribution.Poisson

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

Instances details
Eq PoissonDistribution Source #
Instance details

Defined in Statistics.Distribution.Poisson

Methods

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

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

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 Source #

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

toConstr :: PoissonDistribution -> Constr Source #

dataTypeOf :: PoissonDistribution -> DataType Source #

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

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

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

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

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

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

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

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

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

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

Read PoissonDistribution Source #
Instance details

Defined in Statistics.Distribution.Poisson

Methods

readsPrec :: Int -> ReadS PoissonDistribution Source #

readList :: ReadS [ PoissonDistribution ] Source #

readPrec :: ReadPrec PoissonDistribution Source #

readListPrec :: ReadPrec [ PoissonDistribution ] Source #

Show PoissonDistribution Source #
Instance details

Defined in Statistics.Distribution.Poisson

Methods

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

show :: PoissonDistribution -> String Source #

showList :: [ PoissonDistribution ] -> ShowS Source #

Generic PoissonDistribution Source #
Instance details

Defined in Statistics.Distribution.Poisson

Associated Types

type Rep PoissonDistribution :: Type -> Type Source #

Methods

from :: PoissonDistribution -> Rep PoissonDistribution x Source #

to :: Rep PoissonDistribution x -> PoissonDistribution Source #

ToJSON PoissonDistribution Source #
Instance details

Defined in Statistics.Distribution.Poisson

Methods

toJSON :: PoissonDistribution -> Value Source #

toEncoding :: PoissonDistribution -> Encoding Source #

toJSONList :: [ PoissonDistribution ] -> Value Source #

toEncodingList :: [ PoissonDistribution ] -> Encoding Source #

FromJSON PoissonDistribution Source #
Instance details

Defined in Statistics.Distribution.Poisson

Methods

parseJSON :: Value -> Parser PoissonDistribution Source #

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

Binary PoissonDistribution Source #
Instance details

Defined in Statistics.Distribution.Poisson

Methods

put :: PoissonDistribution -> Put Source #

get :: Get PoissonDistribution Source #

putList :: [ PoissonDistribution ] -> Put Source #

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-0.16.1.2-IkOne9g3oJ1vhHVSRLPUO" ' 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