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Summary
| Description |
English: Multivariate Gaussian Distributions
Deutsch: Multiariate Gauss-Verteilungen
and
and
|
| Date | |
| Source | Own work |
| Author | MartinThoma |
W3C-validity not checked.
Source is available at github
LaTeX Code
\documentclass[varwidth=true, border=5pt]{article}
\usepackage[active,tightpage]{preview}
\usepackage[latin1]{inputenc}
\usepackage{amsmath}
\usepackage{pgfplots}
\pgfplotsset{compat=1.10}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning}
\usepackage{helvet}
\usepackage[eulergreek]{sansmath}
\begin{document}
\begin{preview}
\begin{tikzpicture}
\begin{axis}[
width=13.4cm,
height=10.0cm,
% Grid
grid = major,
% size
xmin= 40, % start the diagram at this x-coordinate
xmax= 90, % end the diagram at this x-coordinate
ymin= 0, % start the diagram at this y-coordinate
ymax= 60, % end the diagram at this y-coordinate
% Legende
legend style={
font=\large\sansmath\sffamily,
at={(0.5,-0.18)},
anchor=north,
legend cell align=left,
legend columns=-1,
column sep=0.5cm
},
% Ticks
tick align=inside,
every axis/.append style={font=\large\sansmath\sffamily},
minor tick style={thick},
scaled y ticks = false,
% Axis
axis line style = {very thick,shorten <=-0.5\pgflinewidth},
axis lines = middle,
axis line style = very thick,
xlabel=Gesamtausgaben,
x label style={at={(axis description cs:0.5,-0.05)},
anchor=north,
font=\boldmath\sansmath\sffamily\Large},
ylabel=Luxusausgaben,
y label style={at={(axis description cs:-0.05,0.5)},
anchor=south,
rotate=90,
font=\boldmath\sansmath\sffamily\Large},
]
\addplot[
scatter,
only marks,
point meta=explicit symbolic,
scatter/classes={
a={mark=x,red!90!black},%
b={mark=x,cyan!50!black}},
]
table[col sep=comma, meta=label] {data.csv};
\addplot[
scatter,
only marks,
point meta=explicit symbolic,
scatter/classes={
b={mark=*,mark size=3pt,red!30!white,draw=black},%
c={mark=*,mark size=3pt,cyan!30!white,draw=black},%
a={mark=*,mark size=3pt,green!70!black,draw=black}},
]
table[meta=label] {
x y label
65 35 a
70 40 b
60 20 c
};
% \addlegendentry{Gruppe 1}
% \addlegendentry{Gruppe 2}
\end{axis}
\end{tikzpicture}
\end{preview}
\end{document}
Data
The data is available at GitHub. However, you can create similar data with the following Python code:
#!/usr/bin/env python
import matplotlib.pyplot as plt
import numpy
import csv
cov = [[25, 20], [20, 25]] # diagonal covariance, points lie on x or y-axis
meanI = [70, 40]
datapointsI = 2000
meanII = [60, 20]
datapointsII = 2000
dataI = numpy.random.multivariate_normal(meanI, cov, datapointsI).T
x, y = dataI
plt.plot(x, y, 'x')
dataII = numpy.random.multivariate_normal(meanII, cov, datapointsII).T
x, y = dataII
plt.plot(x, y, 'x')
plt.axis('equal')
plt.show()
data = []
xs, ys = dataI
for x, y in zip(xs, ys):
data.append([x, y, 'a'])
xs, ys = dataII
for x, y in zip(xs, ys):
data.append([x, y, 'b'])
# Write data to csv files
with open("data.csv", 'wb') as csvfile:
csvfile.write("x,y,label\n")
spamwriter = csv.writer(csvfile, delimiter=',',
quotechar='"', quoting=csv.QUOTE_MINIMAL)
for datapoint in data:
spamwriter.writerow(datapoint)
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
|
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 23:56, 31 August 2014 | | 639 × 468 (1.78 MB) | MartinThoma | Added line where that divides both probabilities |
| 15:12, 29 August 2014 |  | 639 × 468 (2.13 MB) | MartinThoma | Added label to green node; made nodes bigger | |
| 16:42, 23 August 2014 |  | 639 × 468 (1.43 MB) | MartinThoma | Improved readability: Sans-Serif fonts; thicker markers | |
| 16:28, 23 August 2014 |  | 640 × 395 (1.45 MB) | MartinThoma | {{Information |Description ={{en|1=Multivariate Gaussian Distributions}} {{de|1=Multiariate Gauss-Verteilungen}} |Source ={{own}} |Author =MartinThoma |Date =2014-08-23 |Permission = |other_versions... |
File usage
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Global file usage
The following other wikis use this file:
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- Usage on fa.wikipedia.org
- Usage on ru.wikipedia.org
- Usage on tr.wikipedia.org
