Created
November 21, 2012 16:34
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Bayes error with TikZ
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\documentclass{article} | |
\usepackage{tkz-fct} | |
\usetikzlibrary{intersections} | |
\begin{document} | |
\tikzset{ | |
name plot/.style={every path/.style={name path global=#1}} | |
} | |
% Extract coordinates for point X | |
\makeatletter | |
\newcommand{\gettikzxy}[3]{% | |
\tikz@scan@one@point\pgfutil@firstofone#1\relax | |
\edef#2{\the\pgf@x}% | |
\edef#3{\the\pgf@y}% | |
} | |
\makeatother | |
% Dimlines | |
\def\Dimline[#1][#2][#3][#4]{ | |
\begin{scope}[thin, >=stealth'] % redefine as flechas | |
\draw let \p1=#1, \p2=#2, \n0={veclen(\x2-\x1,\y2-\y1)} in [|<->|, | |
decoration={markings,mark=at position .5 with {\node[#3] at (0,0) | |
{#4};}, | |
}, | |
postaction=decorate] #1 -- #2 ; | |
\end{scope} | |
} | |
\begin{tikzpicture}[scale=1,font=\small] | |
\tkzInit[xmin=0,xmax=12,ymin=0,ymax=.3,ystep=.05] | |
% Draw coordinates | |
\draw[>=stealth', <->] (0,6) node[above] {$y$} -- (0,0) -- (12.5,0) node[right] {$x$}; | |
% Draw functions and areas | |
\tkzFct[name plot=A,thick,color=red,domain=0:12]{1/(1.5*sqrt(2*pi))*exp(-((x-4.5)**2)/(2*1.5**1))} | |
\tkzDrawArea[opacity=.3,color=blue,domain = 7:12] | |
\tkzFct[name plot=B,thick,color=blue,domain=0:12]{1/(2*sqrt(2*pi))*exp(-((x-7)**2)/(2*2**1))} | |
\tkzDrawArea[opacity=.3,color=red,domain=0:7] | |
\tkzDrawAreafg[between=b and a,opacity=.3,color=green,domain = 0:7] | |
% Intersection between curves | |
\path [name intersections={of=A and B,by=C}]; | |
% Extract coordinates of C | |
\gettikzxy{(C)}{\cx}{\cy} | |
% Vertical lines | |
\draw [thick,dashed, black] (\cx,0) -- (\cx,5.5) node [above] {$x_{0}$}; | |
\draw [thick,dashed, black] (7,0) -- (7,5.5) node [above] {$\hat{x}$}; | |
% Define regions | |
\Dimline[($(0,0)+(0,-.6)$)][($(7,0)+(0,-.6)$)][above,black][$\mathcal{R}_{1}$]; | |
\Dimline[($(7,0)+(0,-.6)$)][($(12,0)+(0,-.6)$)][above, black][$\mathcal{R}_{2}$]; | |
\end{tikzpicture} | |
\end{document} |
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