scipy stats.foldcauchy() | Python

scipy.stats.foldcauchy() is an folded Cauchy continuous random variable that is defined with a standard format and some shape parameters to complete its specification.

Parameters :
-> q : lower and upper tail probability
-> a : shape parameters
-> 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 : folded Cauchy continuous random variable

Code #1 : Creating folded Cauchy continuous random variable

Output :

RV : 
 <scipy.stats._distn_infrastructure.rv_frozen object at 0x0000018D55D8E160>

Code #2 : Folded Cauchy random variates and probability distribution function.

Output :

Random Variates : 
 [1.7445128  2.82630984 0.81871044 5.19668279 7.81537565 1.67855736
 3.35417067 0.13838753 1.29145462 1.90601065]

Probability Distribution : 
 [0.42727064 0.42832192 0.43080143 0.43385803 0.43622229 0.43639823
 0.43294602 0.42480391 0.41154712 0.3934792 ]
 

Code #3 : Graphical Representation.

Output :

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.        ]

Code #4 : Varying Positional Arguments

Output :