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File:Spacing Estimation plot for MSE example.svg

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Original file (SVG file, nominally 629 × 629 pixels, file size: 28 KB)


 
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Summary

Description
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
Source Own work
Author Avraham
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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:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
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.

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27 July 2009

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Date/TimeThumbnailDimensionsUserComment
current15:57, 27 July 2009Thumbnail for version as of 15:57, 27 July 2009629 × 629 (28 KB)AvrahamEmbedded rights into inkscape svg
15:46, 27 July 2009Thumbnail for version as of 15:46, 27 July 2009629 × 629 (28 KB)Avraham{{Information |Description={{en|1=Vector version of File:Spacing Estimation plot for MSE example.png}} |Source=Own work by uploader |Author=Avraham |Date=2009-07-27 |Permission=File:Spacing Estimation plot for MSE example.png |other_

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