sympy.stats.GammaInverse() in python

With the help of sympy.stats.GammaInverse() method, we can get the continuous random variable representing the inverse gamma distribution.

Syntax : sympy.stats.GammaInverse(name, a, b)
Where, a and b denotes real number.
Return : Return continuous random variable.

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

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

a = Symbol("a", integer = True, positive = True)
b = Symbol("b", integer = True, positive = True)
z = Symbol("z")

# Using sympy.stats.GammaInverse() method
X = GammaInverse("x", a, b)
gfg = density(X)(z)

pprint(gfg)

Output :

-b
—
a -a – 1 z
b *z *e
—————
Gamma(a)

Example #2 :

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

a = 4
b = 3
z = 2

# Using sympy.stats.GammaInverse() method
X = GammaInverse("x", a, b)
gfg = density(X)(z)

pprint(gfg)

Output :

-3/2
27*e
——–
64