scipy stats.hypsecant() | Python

scipy.stats.hypsecant() is an hyperbolic secant continuous random variable. to complete its specificaitons it is defined with a standard format and some shape parameters. The probability density is defined in the “standardized” form.

Parameters :

-> α : scale
-> β : shape
-> μ : location
Code #1 : Creating Hyperbolic secant continuous random variable

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from scipy.stats import hypsecant  
   
numargs = hypsecant.numargs
[] = [0.7, 0.4] * numargs
rv = hypsecant ()
   
print ("RV : \n", rv) 

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Output:

RV : 
 scipy.stats._distn_infrastructure.rv_frozen object at 0x0000021FB588A160

Code #2 : Hyperbolic secant continuous variates and probability distribution

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import numpy as np
quantile = np.arange (0.01, 1, 0.1)
    
# Random Variates
R = hypsecant .rvs(scale = 2,  size = 10)
print ("Random Variates : \n", R)
   
# PDF
R = hypsecant .pdf(quantile, loc = 0, scale = 1)
print ("\nProbability Distribution : \n", R)

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Output:

Random Variates : 
 [ 0.50120826  0.60225476 -0.38307417  7.15799321 -1.1929279  -2.03152053
 -0.07410646  1.79859597 -3.14724818  2.03731139]

Probability Distribution : 
 [0.31829397 0.31639377 0.31141785 0.30360449 0.2933099  0.28097073
 0.26706289 0.25206321 0.23641852 0.22052427]

Code #3 : Graphical Representation.

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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))

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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

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import matplotlib.pyplot as plt
import numpy as np
   
x = np.linspace(0, 5, 100)
   
# Varying positional arguments
y1 = hypsecant .pdf(x, 1, 3)
y2 = hypsecant .pdf(x, 1, 4)
plt.plot(x, y1, "*", x, y2, "r--")

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Output:



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