sympy.stats.MultivariateBeta() function in Python
Last Updated :
18 Aug, 2020
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With the help of sympy.stats.MultivariateBeta() method, we can create a continuous random variable with Dirichlet/Multivariate Beta Distribution.
It is a multivariate generalization of the beta distribution.
Syntax: sympy.stats.MultivariateBeta(syms, alpha) Parameters: syms: the symbol alpha: positive real numbers signifying concentration numbers Returns: a continuous random variable with multivariate beta distribution.
Example #1 :
# import sympy, MultivariateBeta, density, Symbol
from sympy.stats.joint_rv_types import MultivariateBeta
from sympy.stats import density
from sympy import Symbol, pprint
a = Symbol('a', positive = True)
b = Symbol('b', positive = True)
x = Symbol('x')
y = Symbol('y')
# using sympy.stats.MultivariateBeta() method
M = MultivariateBeta('M', [a, b])
mvbDist = density(M)(x, y)
pprint(mvbDist)
Output :
a1 - 1 a2 - 1
x *y *Gamma(a1 + a2)
------------------------------
Gamma(a1)*Gamma(a2)
Example #2 :
# import sympy, MultivariateBeta, density, Symbol
from sympy.stats.joint_rv_types import MultivariateBeta
from sympy.stats import density
from sympy import Symbol, pprint
x = Symbol('x')
y = Symbol('y')
# using sympy.stats.MultivariateBeta() method
M = MultivariateBeta('M', [2, 1 / 2])
mvbDist = density(M)(x, y)
pprint(mvbDist)
Output :
3*x
-------
___
4*\/ y
