sympy.stats.Pareto() in python

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

Syntax : sympy.stats.Pareto(name, xm, alpha)
Where, xm and alpha are real number and xm, alpha > 0.
Return : Return the continuous random variable.

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

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

z = Symbol("z")
xm = Symbol("xm", positive = True)
alpha = Symbol("alpha", positive = True)

# Using sympy.stats.Pareto() method
X = Pareto("x", xm, alpha)
gfg = density(X)(z)

pprint(gfg)

Output :

alpha -alpha – 1
alpha*xm *z

Example #2 :

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

z = 2.1
xm = 1
alpha = 2.4

# Using sympy.stats.Pareto() method
X = Pareto("x", xm, alpha)
gfg = density(X)(z)

pprint(gfg)

Output :

0.192604149590925