sympy.stats.Erlang() in python

With the help of sympy.stats.Erlang() method, we can get the continuous random variable representing the erlang distribution.

Syntax : sympy.stats.Erlang(name, k, l)
Where, k is the positive integer and l is a real number greater than 0.
Return : Return continuous random variable.

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

# Import sympy and Erlang
from sympy.stats import Erlang, density
from sympy import Symbol

k = Symbol("k", integer = True, positive = True)
l = Symbol("l", integer = True, positive = True)
z = Symbol("z")

# Using sympy.stats.Erlang() method
X = Erlang("x", k, l)
gfg = density(X)(z)

pprint(gfg)

Output :

k k – 1 -l*z
l *z *e
—————
Gamma(k)

Example #2 :

# Import sympy and Erlang
from sympy.stats import Erlang, density
from sympy import Symbol

k = 2
l = 3
z = 1

# Using sympy.stats.Erlang() method
X = Erlang("x", k, l)
gfg = density(X)(z)

pprint(gfg)

Output :

-3
9*e