Python - Wrapped Cauchy Distribution in Statistics

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 : wrapped Cauchy continuous random variable

# importing library

from scipy.stats import wrapcauchy 
  
numargs = wrapcauchy .numargs 
a, b = 0.2, 0.8
rv = wrapcauchy (a, b) 
  
print ("RV : \n", rv)  

RV : 
 scipy.stats._distn_infrastructure.rv_frozen object at 0x000002A9DB1EFEC8

import numpy as np 
quantile = np.arange (0.01, 1, 0.1) 

# Random Variates 
R = wrapcauchy .rvs(a, b, size = 10) 
print ("Random Variates : \n", R) 

# PDF 
x = np.linspace(wrapcauchy.ppf(0.01, a, b),
                wrapcauchy.ppf(0.99, a, b), 10)
R = wrapcauchy.pdf(x, 1, 3)
print ("\nProbability Distribution : \n", R) 

Random Variates : 
 [4.86261249 3.08013229 2.12625546 2.11690773 4.07188434 3.3251514
 1.23202529 3.38334847 1.22842627 6.35459436]

Probability Distribution : 
 [nan nan nan nan nan nan nan nan nan nan]

import numpy as np 
import matplotlib.pyplot as plt 
   
distribution = np.linspace(0, np.minimum(rv.dist.b, 2)) 
print("Distribution : \n", distribution) 

Distribution : 
 [0.         0.04081633 0.08163265 0.12244898 0.16326531 0.20408163
 0.24489796 0.28571429 0.32653061 0.36734694 0.40816327 0.44897959
 0.48979592 0.53061224 0.57142857 0.6122449  0.65306122 0.69387755
 0.73469388 0.7755102  0.81632653 0.85714286 0.89795918 0.93877551
 0.97959184 1.02040816 1.06122449 1.10204082 1.14285714 1.18367347
 1.2244898  1.26530612 1.30612245 1.34693878 1.3877551  1.42857143
 1.46938776 1.51020408 1.55102041 1.59183673 1.63265306 1.67346939
 1.71428571 1.75510204 1.79591837 1.83673469 1.87755102 1.91836735
 1.95918367 2.        ]
  

import matplotlib.pyplot as plt 
import numpy as np 

x = np.linspace(0, 5, 100) 
   
# Varying positional arguments 
y1 = wrapcauchy.pdf(x, a, b) 
y2 = wrapcauchy.pdf(x, a, b) 
plt.plot(x, y1, "*", x, y2, "r--")