statistics-0.16.2.1: A library of statistical types, data, and functions
Copyright(c) 2013 John McDonnell;
LicenseBSD3
Maintainerbos@serpentine.com
Stabilityexperimental
Portabilityportable
Safe HaskellNone
LanguageHaskell2010

Statistics.Distribution.Transform

Description

Transformations over distributions

Synopsis

Documentation

data LinearTransform d Source #

Linear transformation applied to distribution.

LinearTransform μ σ _
x' = μ + σ·x

Constructors

LinearTransform 

Fields

Instances

Instances details
Functor LinearTransform Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

fmap :: (a -> b) -> LinearTransform a -> LinearTransform b

(<$) :: a -> LinearTransform b -> LinearTransform a

FromJSON d => FromJSON (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

parseJSON :: Value -> Parser (LinearTransform d)

parseJSONList :: Value -> Parser [LinearTransform d]

omittedField :: Maybe (LinearTransform d)

ToJSON d => ToJSON (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

toJSON :: LinearTransform d -> Value

toEncoding :: LinearTransform d -> Encoding

toJSONList :: [LinearTransform d] -> Value

toEncodingList :: [LinearTransform d] -> Encoding

omitField :: LinearTransform d -> Bool

Data d => Data (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

gfoldl :: (forall d0 b. Data d0 => c (d0 -> b) -> d0 -> c b) -> (forall g. g -> c g) -> LinearTransform d -> c (LinearTransform d)

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (LinearTransform d)

toConstr :: LinearTransform d -> Constr

dataTypeOf :: LinearTransform d -> DataType

dataCast1 :: Typeable t => (forall d0. Data d0 => c (t d0)) -> Maybe (c (LinearTransform d))

dataCast2 :: Typeable t => (forall d0 e. (Data d0, Data e) => c (t d0 e)) -> Maybe (c (LinearTransform d))

gmapT :: (forall b. Data b => b -> b) -> LinearTransform d -> LinearTransform d

gmapQl :: (r -> r' -> r) -> r -> (forall d0. Data d0 => d0 -> r') -> LinearTransform d -> r

gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d0. Data d0 => d0 -> r') -> LinearTransform d -> r

gmapQ :: (forall d0. Data d0 => d0 -> u) -> LinearTransform d -> [u]

gmapQi :: Int -> (forall d0. Data d0 => d0 -> u) -> LinearTransform d -> u

gmapM :: Monad m => (forall d0. Data d0 => d0 -> m d0) -> LinearTransform d -> m (LinearTransform d)

gmapMp :: MonadPlus m => (forall d0. Data d0 => d0 -> m d0) -> LinearTransform d -> m (LinearTransform d)

gmapMo :: MonadPlus m => (forall d0. Data d0 => d0 -> m d0) -> LinearTransform d -> m (LinearTransform d)

Generic (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Associated Types

type Rep (LinearTransform d) 
Instance details

Defined in Statistics.Distribution.Transform

type Rep (LinearTransform d) = D1 ('MetaData "LinearTransform" "Statistics.Distribution.Transform" "statistics-0.16.2.1-GC0UmpORwJ8SU4BdSiJEf" 'False) (C1 ('MetaCons "LinearTransform" 'PrefixI 'True) (S1 ('MetaSel ('Just "linTransLocation") 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Double) :*: (S1 ('MetaSel ('Just "linTransScale") 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Double) :*: S1 ('MetaSel ('Just "linTransDistr") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d))))

Methods

from :: LinearTransform d -> Rep (LinearTransform d) x

to :: Rep (LinearTransform d) x -> LinearTransform d

Read d => Read (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

readsPrec :: Int -> ReadS (LinearTransform d)

readList :: ReadS [LinearTransform d]

readPrec :: ReadPrec (LinearTransform d)

readListPrec :: ReadPrec [LinearTransform d]

Show d => Show (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

showsPrec :: Int -> LinearTransform d -> ShowS

show :: LinearTransform d -> String

showList :: [LinearTransform d] -> ShowS

Binary d => Binary (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

put :: LinearTransform d -> Put

get :: Get (LinearTransform d)

putList :: [LinearTransform d] -> Put

Eq d => Eq (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

(==) :: LinearTransform d -> LinearTransform d -> Bool

(/=) :: LinearTransform d -> LinearTransform d -> Bool

ContDistr d => ContDistr (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

density :: LinearTransform d -> Double -> Double Source #

logDensity :: LinearTransform d -> Double -> Double Source #

quantile :: LinearTransform d -> Double -> Double Source #

complQuantile :: LinearTransform d -> Double -> Double Source #

ContGen d => ContGen (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

genContVar :: StatefulGen g m => LinearTransform d -> g -> m Double Source #

Distribution d => Distribution (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

cumulative :: LinearTransform d -> Double -> Double Source #

complCumulative :: LinearTransform d -> Double -> Double Source #

Entropy d => Entropy (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

entropy :: LinearTransform d -> Double Source #

MaybeEntropy d => MaybeEntropy (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

maybeEntropy :: LinearTransform d -> Maybe Double Source #

MaybeMean d => MaybeMean (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

maybeMean :: LinearTransform d -> Maybe Double Source #

MaybeVariance d => MaybeVariance (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

maybeVariance :: LinearTransform d -> Maybe Double Source #

maybeStdDev :: LinearTransform d -> Maybe Double Source #

Mean d => Mean (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

mean :: LinearTransform d -> Double Source #

Variance d => Variance (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

Methods

variance :: LinearTransform d -> Double Source #

stdDev :: LinearTransform d -> Double Source #

type Rep (LinearTransform d) Source # 
Instance details

Defined in Statistics.Distribution.Transform

type Rep (LinearTransform d) = D1 ('MetaData "LinearTransform" "Statistics.Distribution.Transform" "statistics-0.16.2.1-GC0UmpORwJ8SU4BdSiJEf" 'False) (C1 ('MetaCons "LinearTransform" 'PrefixI 'True) (S1 ('MetaSel ('Just "linTransLocation") 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Double) :*: (S1 ('MetaSel ('Just "linTransScale") 'SourceUnpack 'SourceStrict 'DecidedStrict) (Rec0 Double) :*: S1 ('MetaSel ('Just "linTransDistr") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 d))))

linTransFixedPoint :: LinearTransform d -> Double Source #

Get fixed point of linear transformation

scaleAround Source #

Arguments

:: Double

Fixed point

-> Double

Scale parameter

-> d

Distribution

-> LinearTransform d 

Apply linear transformation to distribution.