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: bradford continuous random variable

Code # 1: Generating a continuous random variable Bradford

# scipy import from scipy.stats import bradford   numargs = bradford.numargs [a] = [ 0.6 ,] * numargs rv = bradford (a)    print ( " RV: " , rv)

Output:

 RV: & lt; scipy.stats._distn_infrastructure.rv_frozen object at 0x00000294853B04A8 & gt; 

Code # 2: Bradford random variables and probability distribution

import numpy as np quantile = np.arange ( 0.01 , 1 , 0.1 )   # Random Variants R = bradford.rvs (a, scale = 2 , size = 10 ) prin t ( "Random Variates:" , R)   # PDF R = bradford.pdf (quantile, a, loc = 0 , scale = 1 ) print ( "Probability Distribution:" , R)

Output:

 Random Variates: [0.30727583 0.22129839 0.27130072 0.19795865 1.66069665 1.93938843 0.43435698 0.16437308 0.91592562 1.95369029 ] Probability Distribution: [1.26897205 1.19754774 1.13373525 1.07637933 1.02454726 0.97747771 0.93454311 0.8952215 2 0.85907529 0.82573473] 

Code # 3: Graphic representation.

import numpy as np import matplotlib.pyplot as plt   distribution = np.linspace ( 0 , np.maximum (rv.dist.b , 5 )) print ( "Distribution:" , distribution)   plot = plt.plot (distribution, rv.pdf (distrib ution))

Output:

 Distribution: [0. 0.10204082 0.20408163 0.30612245 0.40816327 0.51020408 0.6122449 0.71428571 0.81632653 0.91836735 1.02040816 1.12244898 1.2244898 1.32653061 1.42857143 1.53061224 1.63265306 1.73469388 1.83673469 1.93877551 2.04081633 2.14285714 2.24489796 2.34693878 2.44897959 2.55102041 2.65306122 2.75510204 2.85714286 2.95918367 3.06122449 3.16326531 3.26530612 3.36734694 3.46938776 3.57142857 3.67346939 3.7755102 3.87755102 3.97959184 4.08163265 4.18367347 4.28571429 4.3877551 4.48979592 4.59183673 4.69387755 4.79591837 4.89795918 5. ]