File:Beta distribution pdf.svg

Summary

Description
English: Probability density function for the Beta distribution. Created using Gnuplot.
Date
Source Own work
Author Horas based on the work of Krishnavedala
Other versions File:Beta_distribution_pdf.png
SVG development
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 The SVG code is valid.
 This chart was created with gnuplot.
Category:Valid SVG created with Gnuplot code:Charts#Beta%20distribution%20pdf.svg
 The file size of this SVG plot may be irrationally large because its text has been converted to paths inhibiting translations.
Category:Path text SVG
Source code
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Gnuplot code

Source code
reset
reset session

out=2
outputpath= "./"
outputfilename="betadistribution"
if(out==1) {
	set terminal qt size 1000,750 font ",14"
}
if(out==2) {
	set terminal pdfcairo size 15cm,12cm  font ",20" linewidth 2
	set output outputpath.outputfilename.".pdf"
}
if(out==3) {
	set terminal pngcairo size 800,600  font ",14"
	set output  outputpath.outputfilename.".png"
}

dbeta(x,a,b) = exp((a-1)*log(x)+(b-1)*log(1-x)-lgamma(a)-lgamma(b)+lgamma(a+b))
pbeta(x,a,b) = ibeta(a,b,x)
f(x,y,z) = dbeta(x,y,z)

set samples 500
 
set xrange [0:1]
set xtics 0.2
set yrange [0:2.5]
set ytics 0.5

#set xlabel "x"
set ylabel "PDF"

set key at .78,2.5

set grid xtics ytics mytics lw 1 lc rgb "#888888" dashtype 3 lt 1
set border 3 back lw 2 lc rgb "#222222"
set tics in nomirror scale 0.75

lww=2
set ls 1 lw lww lc rgb "#e41a1c"
set ls 2 lw lww lc rgb "#377eb8"
set ls 3 lw lww lc rgb "#4daf4a"
set ls 4 lw lww lc rgb "#984ea3"
set ls 5 lw lww lc rgb "#ff7f00"

plot \
    f(x, 0.5,0.5) w l ls 1	title "{/Symbol a} = {/Symbol b} = 0.5", \
    f(x, 5,  1)   w l ls 2	title "{/Symbol a} = 5, {/Symbol b} = 1", \
    f(x, 1,  3)   w l ls 3	title "{/Symbol a} = 1, {/Symbol b} = 3", \
    f(x, 2,  2)   w l ls 4	title "{/Symbol a} = 2, {/Symbol b} = 2", \
    f(x, 2,  5)   w l ls 5	title "{/Symbol a} = 2, {/Symbol b} = 5"

if (out>1) {
	set output
}
if (out == 1) {
	pause -1

Data

Source code
from matplotlib.pyplot import *
from numpy import linspace
from scipy.stats import beta

x = linspace(0,1,75)

fig = figure()
ax = fig.add_subplot(111)
ax.plot(x,beta.pdf(x,0.5,0.5),label=r"$\alpha=\beta=0.5$")
ax.plot(x,beta.pdf(x,5,1),label=r"$\alpha=5, \beta=1$")
ax.plot(x,beta.pdf(x,1,3),label=r"$\alpha=1, \beta=3$")
ax.plot(x,beta.pdf(x,2,2),label=r"$\alpha=2, \beta=2$")
ax.plot(x,beta.pdf(x,2,5),label=r"$\alpha=2, \beta=5$")
ax.grid(True)
ax.minorticks_on()
ax.legend(loc=9)
setp(ax.get_legend().get_texts(),fontsize='small')
ax.set_ylim(0,2.6)
ax.set_xlabel("x")
ax.set_ylabel("PDF")

fig.savefig("Beta_distribution_pdf.svg",bbox_inches="tight",\
	pad_inches=.15)

Licensing

This work is ineligible for copyright and therefore in the public domain because it consists entirely of information that is common property and contains no original authorship.
Category:PD ineligible#Beta%20distribution%20pdf.svg Category:Beta distribution Category:Images with Gnuplot source code Category:Images with Python source code
Category:Beta distribution Category:Images with Gnuplot source code Category:Images with Python source code Category:PD ineligible Category:Path text SVG Category:Valid SVG created with Gnuplot code:Charts