File:Spacing Estimation plot for MSE example.png
Size of this preview: 600 × 600 pixels. Other resolutions: 240 × 240 pixels | 480 × 480 pixels | 672 × 672 pixels.
Original file (672 × 672 pixels, file size: 11 KB, MIME type: image/png)
File information
Structured data
Captions
File:Spacing Estimation plot for MSE example.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.
File:Spacing Estimation plot for MSE example.png → File:Spacing Estimation plot for MSE example.svg
For more information, see Help:SVG.
|
Summary edit
DescriptionSpacing Estimation plot for MSE example.png |
English: This is a plot of the spacing estimates to help visualize the simple example given in w:Maximum spacing estimation#Examples. It was created using the w:R (programming language). |
Date | |
Source | Own work |
Author | Avraham |
Other versions |
|
Code edit
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 edit
I, the copyright holder of this work, hereby publish it under the following license:
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.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 07:51, 27 July 2009 | 672 × 672 (11 KB) | Avraham (talk | contribs) | Use color to make data clearer and overlay maximum likelihood estimate. | |
06:56, 27 July 2009 | 672 × 672 (8 KB) | Avraham (talk | contribs) | {{Information |Description={{en|1=This is a plot of the spacing estimates to help visualize the simple example given in w:Maximum spacing estimation#Example. It was created using the w:R (programming language).}} |Source=Own work by uploader |Auth |
You cannot overwrite this file.
File usage on Commons
The following page uses this file: