File:Cauchy cdf.svg
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Original file (SVG file, nominally 360 × 288 pixels, file size: 36 KB)
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This is a file from the Wikimedia Commons. The description on its description page there is shown below.
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Summary
| Description |
English: Plots of the cumulative distribution functions for several members of the Cauchy family of probability distributions. |
| Source | Own work |
| Author | Skbkekas |
| SVG development |  This plot was created with Matplotlib. |
| Source code | Python codeimport numpy as np
import matplotlib.pyplot as plt
import scipy.special as sp
col = ['orange', 'purple', 'deepskyblue', 'mediumseagreen']
X = np.arange(-5, 5, 0.01)
plt.clf()
plt.figure(figsize=(4,3.2))
plt.axes([0.14,0.12,0.83,0.82])
X = np.arange(-5, 5, 0.01)
A = []
for k,(x,g) in enumerate([(0,0.5),(0,1),(0,2),(-2,1)]):
Y = np.arctan((X-x)/g)/np.pi + 0.5
a = plt.plot(X, Y, '-', color=col[k], lw=1.7)
A.append(a)
plt.xlabel("$x$")
plt.ylabel(r"$P(X\le x)$")
plt.ylim([0,1.0])
plt.tick_params(direction='in', top=True, right=True)
plt.legend(("$x_0=0,\\, \\gamma=0.5$", "$x_0=0,\\,\\gamma=1$",\
"$x_0=0,\\, \\gamma=2$", "$x_0=-2,\\, \\gamma=1$"),
numpoints=1, handlelength=0.75, handletextpad=0.5,\
loc="lower right", frameon=False)
plt.xlim(-5,5)
plt.savefig("cauchy_cdf.pdf")
plt.savefig("cauchy_cdf.svg")
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Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- 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.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 19:45, 20 November 2020 | 360 × 288 (36 KB) | AkanoToE | Made all text LaTeX, improved legend spacing |
File usage
The following page uses this file:
