scipy.stats.genlogistic()是广义logistic连续随机变量,用标准格式和一些形状参数定义以完成其规格。
参数:
-> q :上下尾概率
-> a,b:形状参数
-> x :分位数
-> loc :[可选]位置参数。默认值= 0
-> scale:[可选]比例参数。默认值= 1
-> size :[int型元组,可选]形状或随机变量。
-> moments:[可选]由字母['mvsk']组成; “ m” =均值,“ v” =方差,“ s” = Fisher的偏度,“ k” = Fisher的峰度。 (默认=“ MV”)。
Results:广义逻辑连续随机变量
代码1:创建广义逻辑连续随机变量
from scipy.stats import genlogistic
numargs = genlogistic .numargs
[a] = [0.7, ] * numargs
rv = genlogistic (a)
print ("RV:\n", rv)
输出:
RV: <scipy.stats._distn_infrastructure.rv_frozen object at 0x0000018D578F4D30>
代码2:广义logistic随机变量和概率分布。
import numpy as np
quantile = np.arange (0.01, 1, 0.1)
# Random Variates
R = genlogistic.rvs(a, scale = 2, size = 10)
print ("Random Variates:\n", R)
# PDF
R = genlogistic.pdf(a, quantile, loc = 0, scale = 1)
print ("\nProbability Distribution:\n", R)
输出:
Random Variates: [-2.25279702 -1.09146871 -0.01100363 -3.95860336 5.07952934 -2.3073455 -3.11698062 -0.32931819 8.84452349 -3.06546109] Probability Distribution: [0.00330477 0.03491595 0.06402364 0.09077633 0.11531469 0.13777195 0.15827427 0.17694109 0.19388545 0.20921433]
代码3:图形表示。
import numpy as np
import matplotlib.pyplot as plt
distribution = np.linspace(0, np.minimum(rv.dist.b, 3))
print("Distribution:\n", distribution)
plot = plt.plot(distribution, rv.pdf(distribution))
输出:
Distribution: [0. 0.06122449 0.12244898 0.18367347 0.24489796 0.30612245 0.36734694 0.42857143 0.48979592 0.55102041 0.6122449 0.67346939 0.73469388 0.79591837 0.85714286 0.91836735 0.97959184 1.04081633 1.10204082 1.16326531 1.2244898 1.28571429 1.34693878 1.40816327 1.46938776 1.53061224 1.59183673 1.65306122 1.71428571 1.7755102 1.83673469 1.89795918 1.95918367 2.02040816 2.08163265 2.14285714 2.20408163 2.26530612 2.32653061 2.3877551 2.44897959 2.51020408 2.57142857 2.63265306 2.69387755 2.75510204 2.81632653 2.87755102 2.93877551 3. ]
代码4:更改位置参数
import matplotlib.pyplot as plt
import numpy as np
x = np.linspace(0, 5, 100)
# Varying positional arguments
y1 = genlogistic.pdf(x, 1, 3)
y2 = genlogistic.pdf(x, 1, 4)
plt.plot(x, y1, "*", x, y2, "r--")
输出:
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