File:Beta distribution cdf.svg
From Wikimedia Commons, the free media repository
Jump to navigation
Jump to search
Size of this PNG preview of this SVG file: 566 × 425 pixels. Other resolutions: 320 × 240 pixels | 639 × 480 pixels | 1,023 × 768 pixels | 1,280 × 961 pixels | 2,560 × 1,922 pixels.
Original file (SVG file, nominally 566 × 425 pixels, file size: 80 KB)
File information
Structured data
Captions
Summary
[edit]DescriptionBeta distribution cdf.svg |
English: Cumulative distribution function for the Beta distribution. |
Date | |
Source | Own work |
Author | Horas (talk) based on the work of Krishnavedala |
Other versions | File:Beta_distribution_cdf.png |
Source Codes
[edit]Using gnuplot
|
---|
reset
reset session
out=2
outputpath= "./"
outputfilename="betacummulative"
if(out==1) {
set terminal qt size 1000,750 font ",14"
}
if(out==2) {
set terminal pdfcairo size 16cm,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) = pbeta(x,y,z)
set samples 500
set xrange [0:1]
set xtics 0.2
set yrange [0:1]
set ytics 0.2
#set xlabel "x"
set ylabel "CDF"
set key at .40,1
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
}
|
Using python with matplotlib, scipy and numpy toolboxes.
|
---|
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.cdf(x,0.5,0.5),label=r"$\alpha=\beta=0.5$")
ax.plot(x,beta.cdf(x,5,1),label=r"$\alpha=5, \beta=1$")
ax.plot(x,beta.cdf(x,1,3),label=r"$\alpha=1, \beta=3$")
ax.plot(x,beta.cdf(x,2,2),label=r"$\alpha=2, \beta=2$")
ax.plot(x,beta.cdf(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_cdf.svg",bbox_inches="tight",\
pad_inches=.15)
|
Licensing
[edit]Public domainPublic domainfalsefalse |
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. |
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 18:50, 14 November 2014 | 566 × 425 (80 KB) | Horas (talk | contribs) | {{Information |Description=edited to fit to prob. density function plot. Better readability. |Date=2014-11-14 |Source={{own}} |Author= ~~~ |Permission= |other_versions= }} | |
21:56, 4 June 2011 | 640 × 495 (65 KB) | Krishnavedala (talk | contribs) | corrected the y-axis label and location of legend | ||
21:54, 4 June 2011 | 639 × 495 (65 KB) | Krishnavedala (talk | contribs) | corrected the range of y-axis | ||
21:53, 4 June 2011 | 639 × 489 (68 KB) | Krishnavedala (talk | contribs) | {{Information |Description ={{en|1=Cumulative distribution function for the Beta distribution. Created using python with matplotlib, scipy and numpy toolboxes. <syntaxhighligh |
You cannot overwrite this file.
File usage on Commons
The following page uses this file:
File usage on other wikis
The following other wikis use this file:
- Usage on be.wikipedia.org
- Usage on ca.wikipedia.org
- Usage on de.wikipedia.org
- Usage on en.wikipedia.org
- Usage on en.wikibooks.org
- Usage on fi.wikipedia.org
- Usage on he.wikipedia.org
- Usage on it.wikipedia.org
- Usage on ja.wikipedia.org
- Usage on ko.wikipedia.org
- Usage on pt.wikipedia.org
- Usage on tl.wikipedia.org
- Usage on tr.wikipedia.org
- Usage on uk.wikipedia.org
- Usage on zh.wikipedia.org
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
Width | 453pt |
---|---|
Height | 340pt |