I want to plot the PDF of a wrapped Cauchy distribution, but when I set a value for the location, the entire distribution gets shifted, rather than wrapped.
When I run this:
from scipy.stats import wrapcauchy
import numpy as np
c = 0.3
rv = wrapcauchy(c, loc = np.pi/2)
x = np.linspace(rv.ppf(0.01),
rv.ppf(0.99), 100)
plt.plot(x, rv.pdf(x), 'k-', lw=2, label='frozen pdf')
plt.xticks(np.arange(0, 2*np.pi), size='small', rotation=0)
plt.xlabel('θ (Rad)')
plt.ylabel('pdf(θ)')
plt.show()
I get :
The distribution is supposed to stay between 0 rad and 2pi rad, like this :
Any ideas on how I can fix this ? Or are there any other libraries that I could try ? I just need to be able to generate random samples and the PDF of a wrapped Cauchy or Von Mises/Normal with specific modes/means.
Thanks