Python 中的 sympy.stats.Gamma()函数
原文:https://www.geesforgeks.org/sympy-stats-gamma-function-in-python/
借助 sympy.stats.Gamma() 方法,我们可以创建一个 Gamma 分布的连续随机变量。伽马分布的密度由下式给出
x 在[0,1]中。
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.
示例#1 :
蟒蛇 3
# 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)
输出:
-z
-----
-k k - 1 theta
theta *z *e
---------------------
Gamma(k)
例 2 :
蟒蛇 3
# 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)
输出:
-z
---
3 ____ 45
\/ 75 *e
------------------
2/3
15*z *Gamma(1/3)