sympy.stats.Levy() in python

With the help of sympy.stats.Levy() method, we can get the continuous random variable which represents the levy distribution.

Syntax : sympy.stats.Levy(name, mu, c)
Where, mu and c are real number and mu, c > 0.
Return : Return the continuous random variable.

Example #1 :
In this example we can see that by using sympy.stats.Levy() method, we are able to get the continuous random variable representing levy distribution by using this method.

# Import sympy and Levy
from sympy.stats import Levy, density
from sympy import Symbol, pprint

z = Symbol("z")
mu = Symbol("mu", positive = True)
c = Symbol("c", positive = True)

# Using sympy.stats.Levy() method
X = Levy("x", mu, c)
gfg = density(X)(z)

pprint(gfg)

Output :

sqrt(2)*sqrt(c)*exp(-c/(-2*mu + 2*z))/(2*sqrt(pi)*(-mu + z)**(3/2))

Example #2 :

# Import sympy and Levy
from sympy.stats import Levy, density
from sympy import Symbol, pprint

z = 0.3
mu = 3
c = 2

# Using sympy.stats.Levy() method
X = Levy("x", mu, c)
gfg = density(X)(z)

pprint(gfg)

Output :

0.014240812169263