scipy.stats.vonmises_line() is a Von Mises continuous random variable. It is inherited from the of generic methods as an instance of the rv_continuous class. It completes the methods with details specific for this particular distribution.
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 : Von Mises continuous random variable
Code #1 : Creating Von Mises continuous random variable
# importing library from scipy.stats import vonmises_line
numargs = vonmises_line .numargs
a, b = 0.2, 0.8
rv = vonmises_line (a, b)
print ("RV : \n", rv)
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Output :
RV : scipy.stats._distn_infrastructure.rv_frozen object at 0x000002A9D846DB08
Code #2 : Von Mises continuous variates and probability distribution
import numpy as np
quantile = np.arange (0.01, 1, 0.1)
# Random Variates R = vonmises_line .rvs(a, b, size = 10)
print ("Random Variates : \n", R)
# PDF x = np.linspace(vonmises_line.ppf(0.01, a, b),
vonmises_line.ppf(0.99, a, b), 10)
R = vonmises_line.pdf(x, 1, 3)
print ("\nProbability Distribution : \n", R)
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Output :
Random Variates : [ 2.89270823 2.8915421 -1.76479802 -1.18770681 2.16361999 0.78737803 1.15739329 2.77852158 3.37326365 0.76369761] Probability Distribution : [0. 0. 0. 0. 0.05510669 0.09455777 0.18422368 0.30266756 0.33604068 0.24063755]
Code #3 : Graphical Representation.
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. 0.04081633 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. ]
Code #4 : Varying Positional Arguments
import matplotlib.pyplot as plt
import numpy as np
x = np.linspace(0, 5, 100)
# Varying positional arguments y1 = vonmises_line.pdf(x, a, b)
y2 = vonmises_line.pdf(x, a, b)
plt.plot(x, y1, "*", x, y2, "r--")
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Output :