Summary

DescriptionSpacing Estimation plot for MSE example.svg	English: Vector version of File:Spacing Estimation plot for MSE example.png, saved as a PDF, brought into w:Inkscape and converted to SVG.
Date	27 July 2009
Source	Own work
Author	Avraham
Other versions
SVG development InfoField	The SVG code is valid.  This diagram was created with Inkscape. Category:Valid SVG created with Inkscape:Diagrams#Spacing%20Estimation%20plot%20for%20MSE%20example.svg

Code

This is the code used to generate the plot. It could have been done more efficiently, but this way is more self-explanatory.

SpacingEstimate<-function (x) {
A1<-1-exp(-2*x)
A2<-1-exp(-4*x)
Z<-(A1)*(A2-A1)*(1-A2)
return(log(Z))
}

Likelihood<-function (x) {
A1<-x*exp(-2*x)
A2<-x*exp(-4*x)
Z<-A1*A2
return(log(Z))
}

x<-seq(0,1,.01)

plot(x,SpacingEstimate(x),main="Comparison of Estimator Values", type="l", col="blue", xaxp=c(0,1,10), lwd=2, ylab="Estimator values")
points(x, Likelihood(x), col="dark green", type="l", lwd=2)

arrows(.4, -7, .26, -8.1)
arrows(.56, -7.45, .33, -8.09)

text (x=.463, y = -6.7, labels = "Maximum Spacing Estimate:",col="red")
text (x=.45, y = -7.0, labels=expression(frac(ln(.6),-2)),col="red")

text (x=.6, y = -7.3, labels = "Maximum Likelihood Estimate:", col="purple")
text (x=.6, y = -7.6, labels=expression(frac(1,3)), col="purple")

abline(v=(log(.6)/-2), col="red")
abline(v=(1/3), col="purple")

legend ("topright", legend=c("Maximum Spacing", "Maximum Likelihood"), col = c("blue", "dark green"), lwd=2)

Licensing

I, the copyright holder of this work, hereby publish it under the following license:

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The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission. http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse

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