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Create a Continuous Random Variable with a U-quadratic distribution.

The density of the U-quadratic distribution is given by

.. math::
f(x) := \alpha (x-\beta)^2

with :math:x \in [a,b].

Parameters(more...)


        def QuadraticU(name, a, b):
r"""
Create a Continuous Random Variable with a U-quadratic distribution.

The density of the U-quadratic distribution is given by

.. math::
f(x) := \alpha (x-\beta)^2

with :math:x \in [a,b].

Parameters
==========

a : Real number
b : Real number, :math:a < b

Returns
=======

A RandomSymbol.

Examples
========

>>> from sympy.stats import QuadraticU, density, E, variance
>>> from sympy import Symbol, simplify, factor, pprint

>>> a = Symbol("a", real=True)
>>> b = Symbol("b", real=True)
>>> z = Symbol("z")

>>> X = QuadraticU("x", a, b)

>>> D = density(X)(z)
>>> pprint(D, use_unicode=False)
/                2
|   /  a   b    \
|12*|- - - - + z|
|   \  2   2    /
<-----------------  for And(a <= z, z <= b)
|            3
|    (-a + b)
|
\        0                 otherwise

References
==========

"""



from sympy.stats import (P, E, where, density, variance, covariance, skewness,
given, pspace, cdf, ContinuousRV, sample,
Arcsin, Benini, Beta, BetaPrime, Cauchy,
Chi, ChiSquared,
ChiNoncentral, Dagum, Erlang, Exponential,

def test_quadratic_u():
a = Symbol("a", real=True)
b = Symbol("b", real=True)