sympy.stats.ChiNoncentral() in Python

With the help of sympy.stats.ChiNoncentral() method, we can get the continuous random variable which represents the non-central chi distribution.

Syntax : sympy.stats.ChiNoncentral(name, k, l)
Where, k and l is number of degree of freedom.
Return : Return the continuous random variable.

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

# Import sympy and ChiNoncentral
from sympy.stats import ChiNoncentral, density, E
from sympy import Symbol, simplify

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

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

pprint(gfg)

Output :

2 2
-k l z
— – — – —
k 2 2 2 /k \
l*z *(l*z) *e *besseli|- – 1, l*z|
\2 /

Example #2 :

# Import sympy and ChiNoncentral
from sympy.stats import ChiNoncentral, density, E
from sympy import Symbol, simplify

k = 5
l = 6
z = 0.2

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

print(gfg)

Output :

1.81702770690497e-11*besseli(3/2, 1.2)