File:Cauchy_pdf.svg
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Summary
DescriptionCauchy pdf.svg |
English: Plots of the density functions for several members of the Cauchy family of probability distributions. |
Date | |
Source | Own work |
Author | Skbkekas |
SVG development InfoField | This plot was created with Matplotlib. |
Source code InfoField | Python code#!/usr/bin/python
import numpy as np
import matplotlib.pyplot as plt
import scipy.special as sp
import matplotlib.font_manager
col = ['orange', 'purple', 'deepskyblue', 'mediumseagreen']
X = np.arange(-5, 5, 0.01)
##
## PDF
##
plt.rc('text', usetex = True)
plt.rc('font', family = 'serif', size = 12)
plt.clf()
plt.figure(figsize=(4,3.2))
plt.axes([0.14,0.12,0.83,0.82])
# plt.hold(True)
X = np.arange(-5, 5, 0.01)
A = []
for k,(x,g) in enumerate([(0,0.5),(0,1),(0,2),(-2,1)]):
Y = ((X-x)/g)**2 + 1
Y = 1/(np.pi*g*Y)
a = plt.plot(X, Y, '-', color=col[k], lw=1.7)
A.append(a)
plt.xlabel("$x$")
plt.ylabel("$P(x)$")
plt.ylim([0,0.7])
plt.tick_params(direction='in', top=True, right=True)
prop = matplotlib.font_manager.FontProperties(size=12)
# bx =
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="upper right", frameon=False)
# bx.draw_frame(False)
plt.xlim(-5,5)
plt.savefig("cauchy_pdf.pdf")
plt.savefig("cauchy_pdf.svg")
|
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.
Items portrayed in this file
depicts
2 March 2010
image/svg+xml
bcedeac5f5c4de169d128c65e9e34a40384aa69e
37,077 byte
288 pixel
360 pixel
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 02:25, 21 November 2020 | 360 × 288 (36 KB) | AkanoToE | Made all text LaTeX, spacing in legend more aesthetic. | |
15:23, 4 March 2010 | 360 × 288 (39 KB) | Skbkekas | {{Information |Description={{en|1=Plots of the density functions for several members of the Cauchy family of probability distributions.}} |Source={{own}} |Author=Skbkekas |Date=2010-03-02 |Permission= |other_versions= }} [[Category:Stat |
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Width | 288pt |
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Height | 230.4pt |
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