scipy.stats.hypsecant()是双曲正割连续随机变量。为了完成其规格,它以标准格式和一些形状参数定义。概率密度以“standardized”形式定义。
参数:
-> α : scale -> β : shape -> μ : location
代码1:创建双曲正割连续随机变量
from scipy.stats import hypsecant
numargs = hypsecant.numargs
[] = [0.7, 0.4] * numargs
rv = hypsecant ()
print ("RV : \n", rv)
输出:
RV : scipy.stats._distn_infrastructure.rv_frozen object at 0x0000021FB588A160
代码2:双曲正割连续变量和概率分布
import numpy as np
quantile = np.arange (0.01, 1, 0.1)
# Random Variates
R = hypsecant .rvs(scale = 2, size = 10)
print ("Random Variates : \n", R)
# PDF
R = hypsecant .pdf(quantile, loc = 0, scale = 1)
print ("\nProbability Distribution : \n", R)
输出:
Random Variates : [ 0.50120826 0.60225476 -0.38307417 7.15799321 -1.1929279 -2.03152053 -0.07410646 1.79859597 -3.14724818 2.03731139] Probability Distribution : [0.31829397 0.31639377 0.31141785 0.30360449 0.2933099 0.28097073 0.26706289 0.25206321 0.23641852 0.22052427]
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:改变位置参数
import matplotlib.pyplot as plt
import numpy as np
x = np.linspace(0, 5, 100)
# Varying positional arguments
y1 = hypsecant .pdf(x, 1, 3)
y2 = hypsecant .pdf(x, 1, 4)
plt.plot(x, y1, "*", x, y2, "r--")
输出:
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