[R] OT -- isotonic regression subject to bound constraints.

Rolf Turner r.turner at auckland.ac.nz
Mon Dec 11 19:23:15 CET 2017


On 12/12/17 07:15, Rolf Turner wrote:
> 
> Well, I could argue that it's not *completely* OT since my question is 
> motivated by an enquiry that I received in respect of a CRAN package 
> "Iso" that I wrote and maintain.
> 
> The question is this:  Given observations y_1, ..., y_n, what is the 
> solution to the problem:
> 
>    minimise \sum_{i=1}^n (y_i - y_i^*)^2
> 
> with respect to y_1^*, ..., y_n^* subject to the "isotonic" constraint
> y_1^* <= y_2^* <= ... <= y_n^* and the *additional8 bound constraint
> a <= y_1^* and y_n^* <= b, where a and b are given constants?

<SNIP>

Scrub that question!  *Just* after I sent it (wouldn't you know!) I got 
an email from my original enquirer telling me that he'd found the 
solution in the package OrdMonReg on CRAN.

Sorry for the noise.

cheers,

Rolf Turner


-- 
Technical Editor ANZJS
Department of Statistics
University of Auckland
Phone: +64-9-373-7599 ext. 88276



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