sympy.stats.YuleSimon() in Python

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)

Output :

5*beta(z, 6)