scipy stats.gamma() | 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. -> a : shape parameters -> moments : [optional] composed of letters [‘mvsk’]; 'm' = mean, 'v' = variance, 's' = Fisher's skew and 'k' = Fisher's kurtosis. (default = 'mv'). Results : gamma continuous random variable

from scipy.stats import gamma 

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

print ("RV : \n", rv) 

RV : 
 <scipy.stats._distn_infrastructure.rv_frozen object at 0x0000018D57997F60>

import numpy as np
quantile = np.arange (0.01, 1, 0.1)
 
# Random Variates
R = gamma.rvs(a, scale = 2,  size = 10)
print ("Random Variates : \n", R)

# PDF
R = gamma.pdf(a, quantile, loc = 0, scale = 1)
print ("\nProbability Distribution : \n", R)

Random Variates : 
 [0.01601209 0.05164555 1.22072489 0.53476245 0.11529018 0.16966403
 0.59198231 0.71995529 0.86063603 3.81492177]

Probability Distribution : 
 [0.00710916 0.07919869 0.15097014 0.21974949 0.28337498 0.34020629
 0.38910556 0.42939763 0.46081639 0.48344302]

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