Statistics.Distribution.Transform

Transformations over distributions

Documentation

data LinearTransform d

Linear transformation applied to distribution.

LinearTransform μ σ _
x' = μ + σ·x

Constructors

LinearTransform

Fields

• linTransLocation :: !Double

  Location parameter.

• linTransScale :: !Double

  Scale parameter.

• linTransDistr :: d

  Distribution being transformed.

Instances

Functor LinearTransform

Defined in Statistics.Distribution.Transform

Methods

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

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

Eq d => Eq (LinearTransform d)

Defined in Statistics.Distribution.Transform

Methods

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

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

Data d => Data (LinearTransform d)

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 :: (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)

Read d => Read (LinearTransform d)

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)

Defined in Statistics.Distribution.Transform

Methods

showsPrec :: Int -> LinearTransform d -> ShowS

show :: LinearTransform d -> String

showList :: [LinearTransform d] -> ShowS

Generic (LinearTransform d)

Defined in Statistics.Distribution.Transform

Associated Types

type Rep (LinearTransform d) :: * -> *

Methods

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

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

ToJSON d => ToJSON (LinearTransform d)

Defined in Statistics.Distribution.Transform

Methods

toJSON :: LinearTransform d -> Value

toEncoding :: LinearTransform d -> Encoding

toJSONList :: [LinearTransform d] -> Value

toEncodingList :: [LinearTransform d] -> Encoding

FromJSON d => FromJSON (LinearTransform d)

Defined in Statistics.Distribution.Transform

Methods

parseJSON :: Value -> Parser (LinearTransform d)

parseJSONList :: Value -> Parser [LinearTransform d]

Binary d => Binary (LinearTransform d)

Defined in Statistics.Distribution.Transform

Methods

put :: LinearTransform d -> Put

get :: Get (LinearTransform d)

putList :: [LinearTransform d] -> Put

ContGen d => ContGen (LinearTransform d)

Defined in Statistics.Distribution.Transform

Methods

genContVar :: PrimMonad m => LinearTransform d -> Gen (PrimState m) -> m Double

Entropy d => Entropy (LinearTransform d)

Defined in Statistics.Distribution.Transform

Methods

entropy :: LinearTransform d -> Double

MaybeEntropy d => MaybeEntropy (LinearTransform d)

Defined in Statistics.Distribution.Transform

Methods

maybeEntropy :: LinearTransform d -> Maybe Double

Variance d => Variance (LinearTransform d)

Defined in Statistics.Distribution.Transform

Methods

variance :: LinearTransform d -> Double

stdDev :: LinearTransform d -> Double

MaybeVariance d => MaybeVariance (LinearTransform d)

Defined in Statistics.Distribution.Transform

Methods

maybeVariance :: LinearTransform d -> Maybe Double

maybeStdDev :: LinearTransform d -> Maybe Double

Mean d => Mean (LinearTransform d)

Defined in Statistics.Distribution.Transform

Methods

mean :: LinearTransform d -> Double

MaybeMean d => MaybeMean (LinearTransform d)

Defined in Statistics.Distribution.Transform

Methods

maybeMean :: LinearTransform d -> Maybe Double

ContDistr d => ContDistr (LinearTransform d)

Defined in Statistics.Distribution.Transform

Methods

density :: LinearTransform d -> Double -> Double

quantile :: LinearTransform d -> Double -> Double

complQuantile :: LinearTransform d -> Double -> Double

logDensity :: LinearTransform d -> Double -> Double

Distribution d => Distribution (LinearTransform d)

Defined in Statistics.Distribution.Transform

Methods

cumulative :: LinearTransform d -> Double -> Double

complCumulative :: LinearTransform d -> Double -> Double

type Rep (LinearTransform d)

Defined in Statistics.Distribution.Transform

type Rep (LinearTransform d) = D1 (MetaData "LinearTransform" "Statistics.Distribution.Transform" "statistics-0.15.0.0-AkglZgHZAgx3cdskkvnxTn" 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

Get fixed point of linear transformation

scaleAround

Arguments

:: Double

Fixed point

-> Double

Scale parameter

-> d

Distribution

-> LinearTransform d

Apply linear transformation to distribution.