With the help of sympy.stats.Gamma() method, we can create a continuous random variable with a Gamma distribution. The density of the Gamma distribution is given by
with x in [0, 1].
Syntax: sympy.stats.Gamma(name, k, theta) Parameters: k: real number, k>0 theta: real number, theta>0 Returns: a continuous random variable with a Gamma distribution.
Example #1 :
Python3
# import sympy, Gamma, density, Symbol, pprint from sympy.stats import Gamma, density from sympy import Symbol, pprint k = Symbol("k", positive = True) theta = Symbol("theta", positive = True) z = Symbol("z") # using sympy.stats.Gamma() method X = Gamma("x", k, theta) gamVar = density((X)(z)) pprint(gamVar) |
Output:
-z
-----
-k k - 1 theta
theta *z *e
---------------------
Gamma(k)
Example #2 :
Python3
# import sympy, Gamma, density, Symbol, pprint from sympy.stats import Gamma, density from sympy import Symbol, pprint z = Symbol("z") # using sympy.stats.Gamma() method X = Gamma("x", 1 / 3, 45) gamVar = density((X)(z)) pprint(gamVar) |
Output:
-z
---
3 ____ 45
\/ 75 *e
------------------
2/3
15*z *Gamma(1/3)
