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)

