File:Cauchy cdf.svg
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Size of this PNG preview of this SVG file: 360 × 288 pixels. Other resolutions: 300 × 240 pixels | 600 × 480 pixels | 960 × 768 pixels | 1,280 × 1,024 pixels | 2,560 × 2,048 pixels.
Original file (SVG file, nominally 360 × 288 pixels, file size: 36 KB)
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Summary
[edit]| 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")
|
Licensing
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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.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 02:45, 21 November 2020 | | 360 × 288 (36 KB) | AkanoToE (talk | contribs) | Made all text LaTeX, improved legend spacing |
| 15:24, 4 March 2010 |  | 360 × 288 (37 KB) | Skbkekas (talk | contribs) | {{Information |Description={{en|1=Plots of the cumulative distribution functions for several members of the Cauchy family of probability distributions.}} |Source={{own}} |Author=Skbkekas |Date= |Permission= |other_versions= }} [[Categor |
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