File:Lda-gauss-1.svg
Original file (SVG file, nominally 899 × 543 pixels, file size: 56 KB)
Captions
Summary
[edit]DescriptionLda-gauss-1.svg |
English: Normal distribution for a discriminant analysis
Deutsch: Normalverteilung bei einer Diskriminanzalayse
|
Date | |
Source | Own work |
Author | MartinThoma |
Source is available at github
LaTeX Code
[edit]\documentclass[varwidth=true, border=5pt]{article}
\usepackage[active,tightpage]{preview}
\usepackage[latin1]{inputenc}
\usepackage{amsmath}
\usepackage{pgfplots}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning}
\usepackage{helvet}
\usepackage[eulergreek]{sansmath}
\pgfmathdeclarefunction{gauss}{2}{%
\pgfmathparse{1/(sqrt(2*pi*#2))*exp(-((x-#1)^2)/(2*#2))}%
}
% to be used: \gauss(mean)(variance)
\pgfplotsset{
tick label style = {font=\sansmath\sffamily},
every axis label/.append style={font=\sffamily\footnotesize},
}
% Thanks to percusse for solving problems with the axis
\begin{document}
\begin{preview}
\tikzstyle{plotA}=[ultra thick,red!90!black]
\tikzstyle{plotB}=[ultra thick,cyan!50!black]
\begin{tikzpicture}
\begin{axis}[
width=13.5cm,
height=8.625cm,
% Grid
grid = major,
% size
xmin= 0, % start the diagram at this x-coordinate
xmax= 125, % end the diagram at this x-coordinate
ymin= 0, % start the diagram at this y-coordinate
ymax= 0.045, % 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,
minor tick style={thick},
scaled y ticks = false,
xtick={40,70,80},
ytick=\empty,
% Axis
axis on top,
axis line style = {very thick,shorten <=-0.5\pgflinewidth},
axis lines = middle,
axis line style = very thick,
xlabel=$x$,
x label style={at={(axis description cs:0.5,0)},
anchor=north,
font=\boldmath\Large},
ylabel=$f(x)$,
y label style={at={(axis description cs:0,0.5)},
anchor=south,
rotate=90,
font=\boldmath\Large},
]
\coordinate (plotAcoord) at (axis cs:70,0.024);
\coordinate (plotAcoordY) at (axis cs:0,0.024);
\draw[plotA,thick, dashed](plotAcoord -| plotAcoordY) -- (plotAcoord);
\coordinate (plotBcoord) at (axis cs:70,0.0004);
\coordinate (plotBcoordY) at (axis cs:0,0.0004);
\draw[plotB,thick, dashed](plotBcoord -| plotBcoordY) -- (plotBcoord);
\node[above right=0cm and 0cm of plotAcoordY,color=red!90!black] (f1y) {$f_{I}(70)$};
\node[above right=0cm and 0cm of plotBcoordY,color=cyan!50!black] (f2y) {$f_{II}(70)$};
% Plots of the distributions
\addplot [domain=0:120,samples=200,plotA] {gauss(80,100)};
\addplot [domain=0:120,samples=200,plotB] {gauss(40,100)};
% Mark points
\addplot+[plotA,
samples at={70},
mark=*,
mark options={scale=1, fill=red!90!black}] {gauss(80,100)};
\addplot+[plotB,
samples at={70},
mark=*,
mark options={scale=1, fill=cyan!50!black}] {gauss(40,100)};
\coordinate (a) at (axis cs:70,0.024);
\draw[black,thick](a |- current plot begin) -- (a);
% Add labels
\node[plotA,above] at (axis cs:102,0.03){\Large $\mathcal{N}(80, 100)$};
\node[plotB,above] at (axis cs:20,0.03){\Large $\mathcal{N}(40, 100)$};
% \addlegendentry{$\mu=80,\enskip \sigma^2 = 100$}
% \addlegendentry{$\mu=40,\enskip \sigma^2 = 100$}
\end{axis}
\end{tikzpicture}
\end{preview}
\end{document}
Licensing
[edit]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.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
This image has been assessed using the Quality image guidelines and is considered a Quality image.
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Annotations InfoField | This image is annotated: View the annotations at Commons |
X = 0,833333333333333
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 02:34, 19 August 2014 | 899 × 543 (56 KB) | MartinThoma (talk | contribs) | Improved axis | |
01:53, 19 August 2014 | 899 × 543 (56 KB) | MartinThoma (talk | contribs) | Dashed horizontal lines | ||
14:07, 18 August 2014 | 899 × 543 (56 KB) | MartinThoma (talk | contribs) | Put labels to ordinates | ||
10:46, 14 August 2014 | 899 × 543 (56 KB) | MartinThoma (talk | contribs) | Nicht <math>f(x_0) = 70</math>, sondern <math>f(70)</math>. | ||
17:28, 12 August 2014 | 899 × 543 (64 KB) | MartinThoma (talk | contribs) | Labels für die Verteilungen (N(40,100) und N(80,100)) vergrößert | ||
17:23, 12 August 2014 | 899 × 543 (63 KB) | MartinThoma (talk | contribs) | Rahmen entfernt; Punkte auf Plots bei x=70 sind nun gefüllt | ||
17:14, 12 August 2014 | 899 × 571 (63 KB) | MartinThoma (talk | contribs) | Vorschläge von Sigbert umgesetzt | ||
03:59, 12 August 2014 | 900 × 593 (86 KB) | MartinThoma (talk | contribs) | Marked x=70 for both distributions | ||
17:46, 11 August 2014 | 900 × 593 (74 KB) | MartinThoma (talk | contribs) | {{Information |Description ={{en|1=Normal distribution for a discriminant analysis}} {{de|1=Normalverteilung bei einer Diskriminanzalayse}} |Source ={{own}} |Author =MartinThoma |Date =2014-08-11 |Permi... |
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Width | 719pt |
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Height | 434pt |