Original file (SVG file, nominally 360 × 288 pixels, file size: 36 KB)
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DescriptionCauchy pdf.svg |
English: Plots of the density functions for several members of the Cauchy family of probability distributions.
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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")
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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 |