scipy stats.fatiguelife() | Python

scipy.stats.fatiguelife()是一个疲劳寿命 (Birnbaum-Sanders) 连续随机变量，使用标准格式和一些形状参数定义以完成其规范。

Parameters :
q : lower and upper tail probability
x : quantiles
loc : [optional] location parameter. Default = 0
scale : [optional] scale parameter. Default = 1
size : [tuple of ints, optional] shape or random variates.
moments : [optional] composed of letters [‘mvsk’]; ‘m’ = mean, ‘v’ = variance, ‘s’ = Fisher’s skew and ‘k’ = Fisher’s kurtosis. (default = ‘mv’).

Results : fatigue-life (Birnbaum-Sanders) continuous random variable

代码 #1：创建疲劳寿命连续随机变量

from scipy.stats import fatiguelife
  
numargs = fatiguelife.numargs
[a] = [0.7, ] * numargs
rv = fatiguelife(a)
  
print ("RV : \n", rv) 

输出 ：

RV : 
 

代码#2：疲劳寿命随机变量和概率分布。

import numpy as np
quantile = np.arange (0.01, 1, 0.1)
   
# Random Variates
R = fatiguelife.rvs(a, scale = 2,  size = 10)
print ("Random Variates : \n", R)
  
# PDF
R = fatiguelife.pdf(a, quantile, loc = 0, scale = 1)
print ("\nProbability Distribution : \n", R)

输出 ：

Random Variates : 
 [ 1.5759368   1.73788302  2.31297609  1.0005871   1.49635022 11.98492239
  2.51785146  4.0096255   0.5654246   0.97502712]

Probability Distribution : 
 [3.74431292e-278 2.59381847e-002 6.41771315e-001 9.56754833e-001
 9.63413710e-001 8.86691481e-001 7.98585419e-001 7.17860186e-001
 6.48103032e-001 5.88743459e-001]
 

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 = fatiguelife.pdf(x, 1, 3)
y2 = fatiguelife.pdf(x, 1, 4)
plt.plot(x, y1, "*", x, y2, "r--")

输出 ：