On Sep 30, 2011, at 10:14 AM, Duncan Murdoch wrote:

On 30/09/2011 10:00 AM, David Winsemius wrote:
On Sep 30, 2011, at 4:50 AM, sreblam wrote:

>  Hi!
> I'm trying to implement in R in an easy way the negative reflection
>  method
>  described in Silverman (1986) on p.31, ie I have a non-negative
>  dataset and
>  would like to estimate the density by applying a reflection method
>  where the
>  reflected points have weight -1.
> I thought there should be a way to evaluate the wanted kernel at the
>  required points, in other words to calculate formula (2.16):
>  fhat(x) = 1/(nh) * sum_{i=1}^{n}{ K( (x-Xi) /h) - K( (x-Xi) /h) }
>
>  Unfortunately, I am still not that good and skilled with R - does
>  anybody
>  know how to do this- Or maybe a hint...?
>  Thank you!!

Doing what I thought was the obvious search ( "negative reflection
density" )  done at the obvious search site (the one to which
RSiteSearch("negative reflection density") ) typed at the console
would have taken you) and twiddling with the setting produces this
perfect match as its second hit:

http://finzi.psych.upenn.edu/Rhelp10/2010-July/246526.html

That's a reflection density estimate, but not a "negative reflection" estimate. The latter aims for zero density at location 0, not zero gradient to the density there.

PLease ignore my first response. I see that the problem is not solved as easily as I fantasied. The logspline package is given by otehrs in the same thread as offering a mechanism for setting boundaries on densities.

--
David.

Duncan Murdoch

Now it is true that you wouldn't have gotten that with the console
entered string which is why I created a new function (and a new
browser button that fiddles with the default setting for RSiteSearch:

rhelpSearch<- function(string,
                   restrict = c("Rhelp10", "Rhelp08", "Rhelp02",
"functions" ),
                   matchesPerPage = 100, ...)
          RSiteSearch(string=string,  restrict = restrict,
matchesPerPage = matchesPerPage, ...)

R-search button mapped to:
http://search.r-project.org/cgi-bin/namazu.cgi?query=&max=100&result=normal&sort=score&idxname=Rhelp10&idxname=Rhelp08&idxname=Rhelp02&idxname=functions


>
>  PS: you can also find the mentioned passage on p.21 of
>  http://ned.ipac.caltech.edu/level5/March02/Silverman/paper.pdf
>
>  --
>  View this message in context: 
http://r.789695.n4.nabble.com/Implementing-Silverman-s-Negative-Reflection-tp3859191p3859191.html
>  Sent from the R help mailing list archive at Nabble.com.
>
>  ______________________________________________
>  R-help@r-project.org mailing list
>  https://stat.ethz.ch/mailman/listinfo/r-help
>  PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
>  and provide commented, minimal, self-contained, reproducible code.

David Winsemius, MD
West Hartford, CT

______________________________________________
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.


David Winsemius, MD
West Hartford, CT

______________________________________________
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.

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