File:WeightNadarayaWatson.png

WeightNadarayaWatson.png(480 × 480 pixels, file size: 8 KB, MIME type: image/png)

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Description
English: Weight functions for Nadaraya Watson estimator
Date
Source Own work
Author Sigbert
PNG development
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This chart was created with R.
Source code
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R code

library(mlbench)
 data(BostonHousing)
 s <- sort(BostonHousing[,13], index.return=T)
 x <- BostonHousing[s$ix,13]
 png("NWWhi.png")
 d <- -0.02*runif(length(x))-0.01
 plot(x, d, cex=0.5, ylim=c(-0.03, 0.12), xlab="Anteil der Unterschichtbevölkerung pro Bezirk (in %)", ylab="Gewichtsfunktionen W_hi(x)",  main="Boston Housing Daten")
 xk <- 30
 h  <- 2.1
 k <- dnorm((x-xk)/h)
 k <- k/sum(k)
 lines(x,k, col="red", lwd=2)
 xk <- 20
 k <- dnorm((x-xk)/h)
 k <- k/sum(k)
 lines(x,k, col="blue", lwd=2)
 xk <- 10
 k <- dnorm((x-xk)/h)
 k <- k/sum(k)
 lines(x,k, col="green", lwd=2)
 h  <- 0.7
 xk <- 30
 k <- dnorm((x-xk)/h)
 k <- k/sum(k)
 lines(x,k, col="red", lwd=2, lty=3)
 xk <- 20
 k <- dnorm((x-xk)/h)
 k <- k/sum(k)
 lines(x,k, col="blue", lwd=2, lty=3)
 xk <- 10
 k <- dnorm((x-xk)/h)
 k <- k/sum(k)
 lines(x,k, col="green", lwd=2, lty=3)
 legend("topleft", legend=c("W_hi(10), h=2,1", "W_hi(20), h=2,1", "W_hi(30), h=2,1", "W_hi(10), h=0,7", "W_hi(20), h=0,7", "W_hi(30), h=0,7"),  col=c("green", "blue", "red", "green", "blue", "red"), lwd=2, lty=c(1,1,1,3,3,3))
 dev.off()

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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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Date/TimeThumbnailDimensionsUserComment
current14:03, 21 June 2010Thumbnail for version as of 14:03, 21 June 2010480 × 480 (8 KB)Sigbert (talk | contribs){{Information |Description={{en|1=Weight functions for Nadaraya Watson estimator }} |Source={{own}} |Author=Sigbert |Date=2010-06-21 |Permission= |other_versions= }} Category:Statistics

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