sympy.stats.MultivariateBeta() function in Python

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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 :

Python3

# 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 :

Python3

# 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)