sympy.stats.YuleSimon() in Python

Namachila October 14, 2025

0 4 1 minute read

With the help of sympy.stats.YuleSimon() method, we can get the random variable representing the Yule-Simon distribution.

Syntax : sympy.stats.YuleSimon(name, rho)
Return : Return the random variable.

Example #1 :
In this example we can see that by using sympy.stats.YuleSimon() method, we are able to get the Yule-Simon distribution by using this method.

# Import sympy and Yule-Simon 
from sympy.stats import YuleSimon, density, E, variance 
from sympy import Symbol, simplify 
  
rho = 5
  
# Using sympy.stats.YuleSimon() method 
X = YuleSimon("X", rho) 
gfg = density(X)(0.5) 
  
print(gfg) 

Output :

5*beta(0.5, 6)

Example #2 :

# Import sympy and Yule-Simon 
from sympy.stats import YuleSimon, density, E, variance 
from sympy import Symbol, simplify 
  
rho = 5
z = Symbol("z") 
  
# Using sympy.stats.YuleSimon() method 
X = YuleSimon("X", rho) 
gfg = density(X)(z) 
  
print(gfg) 