2d-chi-squared-cdf: Added

tikz/2d-chi-squared-cdf/2d-chi-squared-cdf.pgf-plot.table

@@ -0,0 +1,105 @@
+
+# Curve 0 of 1, 100 points
+# Curve title: "chisq(x,9)"
+# x y type
+1.0000000e-05 2.6699706e-26  i
+8.0817980e-02 9.9070360e-09  i
+1.6162596e-01 2.1683304e-07  i
+2.4243394e-01 1.3007083e-06  i
+3.2324192e-01 4.5928761e-06  i
+4.0404990e-01 1.2130677e-05  i
+4.8485788e-01 2.6664086e-05  i
+5.6566586e-01 5.1633614e-05  i
+6.4647384e-01 9.1129715e-05  i
+7.2728182e-01 1.4984014e-04  i
+8.0808980e-01 2.3298965e-04  i
+8.8889778e-01 3.4627514e-04  i
+9.6970576e-01 4.9579859e-04  i
+1.0505137e+00 6.8799945e-04  i
+1.1313217e+00 9.2958785e-04  i
+1.2121297e+00 1.2274795e-03  i
+1.2929377e+00 1.5887329e-03  i
+1.3737457e+00 2.0204899e-03  i
+1.4545536e+00 2.5299194e-03  i
+1.5353616e+00 3.1241646e-03  i
+1.6161696e+00 3.8102938e-03  i
+1.6969776e+00 4.5952561e-03  i
+1.7777856e+00 5.4858396e-03  i
+1.8585935e+00 6.4886344e-03  i
+1.9394015e+00 7.6099988e-03  i
+2.0202095e+00 8.8560302e-03  i
+2.1010175e+00 1.0232538e-02  i
+2.1818255e+00 1.1745022e-02  i
+2.2626334e+00 1.3398650e-02  i
+2.3434414e+00 1.5198247e-02  i
+2.4242494e+00 1.7148275e-02  i
+2.5050574e+00 1.9252827e-02  i
+2.5858654e+00 2.1515619e-02  i
+2.6666733e+00 2.3939980e-02  i
+2.7474813e+00 2.6528853e-02  i
+2.8282893e+00 2.9284793e-02  i
+2.9090973e+00 3.2209966e-02  i
+2.9899053e+00 3.5306153e-02  i
+3.0707132e+00 3.8574753e-02  i
+3.1515212e+00 4.2016787e-02  i
+3.2323292e+00 4.5632911e-02  i
+3.3131372e+00 4.9423413e-02  i
+3.3939452e+00 5.3388236e-02  i
+3.4747531e+00 5.7526973e-02  i
+3.5555611e+00 6.1838891e-02  i
+3.6363691e+00 6.6322934e-02  i
+3.7171771e+00 7.0977737e-02  i
+3.7979851e+00 7.5801640e-02  i
+3.8787930e+00 8.0792701e-02  i
+3.9596010e+00 8.5948706e-02  i
+4.0404090e+00 9.1267187e-02  i
+4.1212170e+00 9.6745433e-02  i
+4.2020249e+00 1.0238050e-01  i
+4.2828329e+00 1.0816924e-01  i
+4.3636409e+00 1.1410829e-01  i
+4.4444489e+00 1.2019410e-01  i
+4.5252569e+00 1.2642297e-01  i
+4.6060648e+00 1.3279101e-01  i
+4.6868728e+00 1.3929419e-01  i
+4.7676808e+00 1.4592837e-01  i
+4.8484888e+00 1.5268925e-01  i
+4.9292968e+00 1.5957245e-01  i
+5.0101047e+00 1.6657348e-01  i
+5.0909127e+00 1.7368778e-01  i
+5.1717207e+00 1.8091070e-01  i
+5.2525287e+00 1.8823754e-01  i
+5.3333367e+00 1.9566354e-01  i
+5.4141446e+00 2.0318390e-01  i
+5.4949526e+00 2.1079381e-01  i
+5.5757606e+00 2.1848840e-01  i
+5.6565686e+00 2.2626283e-01  i
+5.7373766e+00 2.3411223e-01  i
+5.8181845e+00 2.4203174e-01  i
+5.8989925e+00 2.5001653e-01  i
+5.9798005e+00 2.5806176e-01  i
+6.0606085e+00 2.6616266e-01  i
+6.1414165e+00 2.7431445e-01  i
+6.2222244e+00 2.8251243e-01  i
+6.3030324e+00 2.9075193e-01  i
+6.3838404e+00 2.9902832e-01  i
+6.4646484e+00 3.0733707e-01  i
+6.5454564e+00 3.1567367e-01  i
+6.6262643e+00 3.2403370e-01  i
+6.7070723e+00 3.3241282e-01  i
+6.7878803e+00 3.4080674e-01  i
+6.8686883e+00 3.4921128e-01  i
+6.9494963e+00 3.5762231e-01  i
+7.0303042e+00 3.6603583e-01  i
+7.1111122e+00 3.7444788e-01  i
+7.1919202e+00 3.8285464e-01  i
+7.2727282e+00 3.9125234e-01  i
+7.3535362e+00 3.9963733e-01  i
+7.4343441e+00 4.0800606e-01  i
+7.5151521e+00 4.1635507e-01  i
+7.5959601e+00 4.2468099e-01  i
+7.6767681e+00 4.3298056e-01  i
+7.7575761e+00 4.4125064e-01  i
+7.8383840e+00 4.4948816e-01  i
+7.9191920e+00 4.5769015e-01  i
+8.0000000e+00 4.6585378e-01  i
+

tikz/2d-chi-squared-cdf/2d-chi-squared-cdf.tex

@@ -0,0 +1,52 @@
+\documentclass[border=2pt]{standalone}
+
+\usepackage{pgfplots}
+\pgfplotsset{compat=1.16}
+\usepackage{tikz}
+\usepackage{xcolor}
+\definecolor{yellow}{HTML}{cccc00}
+\definecolor{neongreen}{HTML}{00dd00}
+\definecolor{turquoise}{HTML}{00cccc}
+\definecolor{lila}{HTML}{aa00aa}
+
+\begin{document}
+\pgfplotscreateplotcyclelist{mylist}{%
+{yellow},
+{neongreen, densely dashed},
+{turquoise, dashed},
+{blue,densely dotted},
+{lila,dotted},
+{red,loosely dotted},
+{black}}
+\begin{tikzpicture}
+    \begin{axis}[
+        title=$\chi^2_k$,
+        legend style={at={(0.95, 0.95), anchor=north west}},
+        axis x line=middle,
+        axis y line=middle,
+        grid  = major,
+        width = 16cm,
+        height= 9cm,
+        grid style={dashed, gray!30},
+        domain = 0.01:8,
+        restrict y to domain = 0:1,
+        axis background/.style={fill=white},
+        xlabel=$x$,
+        ylabel=$F_k(x)$,
+        tick align=outside,
+        enlargelimits=true,
+        every axis plot/.append style={very thick},
+        cycle list name=mylist
+        ]
+    \foreach \k in {1, 2, 3, 4, 6, 9} {%
+      \addplot+[mark={}] gnuplot[raw gnuplot] {%
+        igamma2(a,x) = igamma(a,x)*gamma(a);
+        chisq(x,k)=igamma2(k/2.0, x/2.0) / gamma(k/2.0);
+        set xrange [1.00000e-5:8];
+        set yrange [0.00000:1.0];
+        samples=800;
+        plot chisq(x,\k)};
+    \addlegendentryexpanded{$k = \k$}}
+    \end{axis}
+\end{tikzpicture}
+\end{document}

tikz/2d-chi-squared-cdf/Makefile

@@ -0,0 +1,31 @@
+SOURCE = 2d-chi-squared-cdf
+DELAY = 80
+DENSITY = 300
+WIDTH = 512
+
+make:
+	pdflatex -shell-escape $(SOURCE).tex -output-format=pdf
+	make clean
+
+clean:
+	rm -rf  $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot
+
+gif:
+	pdfcrop $(SOURCE).pdf
+	convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
+	make clean
+
+png:
+	make
+	make svg
+	inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
+
+transparentGif:
+	convert $(SOURCE).pdf -transparent white result.gif
+	make clean
+
+svg:
+	#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
+	pdf2svg $(SOURCE).pdf $(SOURCE).svg
+	# Necessary, as pdf2svg does not always create valid svgs:
+	inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg

tikz/2d-chi-squared-cdf/README.md

@@ -0,0 +1,3 @@
+Compiled example
+----------------
+![Example](2d-chi-squared-cdf.png)