File:GevDensity 2.svg

Summary

Description
English: Generallised extreme value distribution.
Date 4 January 2014 (original upload date)
Source Created by R D Gill, 4 January 2013, using R script
Author R D Gill
Other versions

Computer code

svg("GevDensity.svg")
x <- seq(from = -4, to = +4, length = 200)
xi <- 0.5
s <- (1 + xi * x)^(-1/xi -1)
t <- (1 + xi * x)^(-1/xi)
u <-  x >  -1/xi
plot(x, s*exp(-t)*u, type="l", col="blue", 
ylim=c(0,0.5), lwd=2,
main = "Generalized extreme value densities",
ylab = "Density", xlab = "x",
sub = "all with mu=0, sigma=1")
xi <- -0.5
s <- (1 + xi * x)^(-1/xi -1)
t <- (1 + xi * x)^(-1/xi)
u <- x < -1/xi
lines(x, s*exp(-t)*u, col="green", lwd=2)
xi <- 0
s <- exp(-x)
t <- exp(-x)
lines(x,s*exp(-t), col="red", lwd=2)
legend(-4,0.5,c("xi = -0.5","xi=0","xi=+0.5"),lwd=2,col=c("green","red","blue"))
graphics.off()

Licensing

w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Category:CC-BY-SA-3.0#GevDensity%202.svg

Original upload log

The original description page was here. All following user names refer to en.wikipedia.
Date/TimeDimensionsUserComment
2014-01-05 13:46630×630× (63236 bytes)Gill110951More small improvements (support endpoints marked, better legend)
2014-01-05 09:50630×630× (56224 bytes)Gill110951Improved annotation (Greek symbols instead of words)
2014-01-04 19:38630×630× (55321 bytes)Gill110951{{cc-by-sa-3.0|Created by R D Gill, 4 January 2013, using R script} svg("GevDensity.svg") x <- seq(from = -4, to = +4, length = 200) xi <- 0.5 s <- (1 + xi * x)^(-1/xi -1) t <- (1 + xi * x)^(-1/xi) u <- x > -1/xi plot(x, s*exp(-t)*u, type="l",...
Category:Gumbel distribution Category:Weibull distribution Category:Fréchet distribution Category:Extreme value distribution
Category:CC-BY-SA-3.0 Category:Extreme value distribution Category:Fréchet distribution Category:Gumbel distribution Category:Weibull distribution