Data.Random.Distribution.Triangular

Documentation

data Triangular a

A description of a triangular distribution - a distribution whose PDF is a triangle ramping up from a lower bound to a specified midpoint and back down to the upper bound. This is a very simple distribution that does not generally occur naturally but is used sometimes as an estimate of a true distribution when only the range of the values and an approximate mode of the true distribution are known.

Constructors

Triangular

Fields

• triLower :: a

  The lower bound of the triangle in the PDF (the smallest number the distribution can generate)

• triMid :: a

  The midpoint of the triangle (also the mode of the distribution)

• triUpper :: a

  The upper bound of the triangle (and the largest number the distribution can generate)

Instances

(RealFrac a, Distribution Triangular a) => CDF Triangular a

Methods

cdf :: Triangular a -> a -> Double

(RealFloat a, Ord a, Distribution StdUniform a) => Distribution Triangular a

Methods

rvar :: Triangular a -> RVar a

rvarT :: Triangular a -> RVarT n a

Eq a => Eq (Triangular a)

Methods

(==) :: Triangular a -> Triangular a -> Bool

(/=) :: Triangular a -> Triangular a -> Bool

Show a => Show (Triangular a)

Methods

showsPrec :: Int -> Triangular a -> ShowS

show :: Triangular a -> String

showList :: [Triangular a] -> ShowS

floatingTriangular :: (Floating a, Ord a, Distribution StdUniform a) => a -> a -> a -> RVarT m a

Compute a triangular distribution for a Floating type.

triangularCDF :: RealFrac a => a -> a -> a -> a -> Double

triangularCDF a b c is the CDF of realFloatTriangular a b c.