scipy stats.fatiguelife() | Python

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

from scipy.stats import fatiguelife

numargs = fatiguelife.numargs
[a] = [0.7, ] * numargs
rv = fatiguelife(a)

print ("RV : \n", rv) 

RV : 
 <scipy.stats._distn_infrastructure.rv_frozen object at 0x0000018D567B8400>

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)

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]
 

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))

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.        ]

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--")