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Original file (SVG file, nominally 460 × 310 pixels, file size: 71 KB)

Summary

Description
English: Skewed centered Levy distributions with unit scale factor
Date
Source Original png graphic was made by PAR and can be found at Levyskew distributionPDF.png
Author Eitanlees
SVG development
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This plot was created with Matplotlib.
Source code
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Python code

import numpy as np
import matplotlib.pyplot as plt
from scipy import stats
from matplotlib.ticker import MultipleLocator

plt.rcParams.update({
    "text.usetex": True,
    "font.family": "serif",
})

x = np.linspace(-4, 4, 500)

beta_list = [0.0, 0.25, 0.50, 0.75, 1.00]

y = [stats.levy_stable.pdf(x, 0.5, beta) for beta in beta_list]

fig, ax = plt.subplots()

c = ['black', 'blue', 'lime', 'red', 'magenta']
for i, data in enumerate(y):
    ax.plot(x, data, color=c[i], label=r'$\beta=' + str(beta_list[i]) + r'$')
    
ax.xaxis.set_minor_locator(MultipleLocator(.25))
ax.xaxis.set_major_locator(MultipleLocator(2))
ax.yaxis.set_minor_locator(MultipleLocator(.01))
ax.tick_params(axis='both', which='both', direction='in', top=True, right=True)
ax.set(ylim=(0, 0.7), xlim=(-4, 4))
plt.plot([], [], ' ', label=r'$\alpha = 0.5$')
plt.plot([], [], ' ', label=r'$c=1$')
plt.plot([], [], ' ', label=r'$\mu=0$')
plt.legend(frameon=False)
fig.savefig('Levyskew_distributionPDF.svg', bbox_inches='tight')

}}

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Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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20 October 2020

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Date/TimeThumbnailDimensionsUserComment
current20:54, 20 October 2020Thumbnail for version as of 20:54, 20 October 2020460 × 310 (71 KB)EitanleesUploaded own work with UploadWizard

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