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Summary
Probability density function for the Cauchy distribution
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation license, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled " GNU Free Documentation license". Aragonés | العربية | Asturianu | Беларуская (тарашкевіца) | Български | বাংলা | ইমার ঠার/বিষ্ণুপ্রিয়া মণিপুরী | Brezhoneg | Bosanski | Català | Cebuano | Česky | Dansk | Deutsch | Ελληνικά | English | Esperanto | Español | Eesti | Euskara | فارسی | Suomi | Français | Gaeilge | Galego | עברית | Hrvatski | Magyar | Bahasa Indonesia | Ido | Íslenska | Italiano | 日本語 | ქართული | ភាសាខ្មែរ | 한국어 | Kurdî / كوردی | Latina | Lëtzebuergesch | Lietuvių | Bahasa Melayu | Nnapulitano | Nederlands | Norsk (nynorsk) | Norsk (bokmål) | Occitan | Polski | Português | Română | Русский | Slovenčina | Slovenščina | Shqip | Српски / Srpski | Svenska | తెలుగు | ไทย | Tagalog | Türkçe | Українська | اردو | Tiếng Việt | Volapük | Yorùbá | 中文(简体) | 中文(繁體) | +/- |
gnuplot source under GPL:
dcauchy(x,l,s) = 1.0 / (pi * s * (1 + ((x-l)*1.0/s)**2))
pcauchy(x,l,s) = 0.5 + atan((x-l)*1.0/s) / pi
qcauchy(p,l,s) = l - s * 1.0/tan(pi * p)
set samples 1001
set terminal postscript enhanced colour solid lw 2 "Times-Roman" 20
set output
set xtics 1
set ytics 0.1
f(x,y,z) = dcauchy(x,y,z)
set key 3.6,0.65
#f(x,y,z) = pcauchy(x,y,z)
#set key 3.6,0.2
plot [-5:5] \
f(x, 0, 0.5) title "{/Times-Italic x}_0 = 0, {/Symbol g} = 0.5", \
f(x, 0, 1) title "{/Times-Italic x}_0 = 0, {/Symbol g} = 1.0", \
f(x, 0, 2) title "{/Times-Italic x}_0 = 0, {/Symbol g} = 2.0", \
f(x, -2, 1) title "{/Times-Italic x}_0 = -2, {/Symbol g} = 1.0"
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This work is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or any later version. This work is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See version 2 and version 3 of the GNU General Public License for more details. العربية | Català | Česky | Deutsch | Ελληνικά | English | Español | Français | Italiano | 日本語 | Nederlands | Polski | Português | Русский | Slovenčina | 中文(简体) | 中文(繁體) | +/- |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 02:30, 21 March 2005 | 1,300×975 (155 KB) | MarkSweep | (Probability density function for the Cauchy distribution {{GFDL}}) |
