Article View: sci.math.research
Article #157Re: Variational Problem
From: robert
Date: Mon, 28 Dec 1992 19:10
Date: Mon, 28 Dec 1992 19:10
8 lines
1071 bytes
1071 bytes
A very simple solution is to consider the level curves {P(a,b)=c}
and to choose L to be the level curve corresponding the largest value of
c for which the probability mass interior to the level curve is F. The
area enclosed by L is also the minimum such area for the given probability
mass. The reason this algorithm works is the same as any other "greedy"
algorithm, area is only traded for the maximum amount of probability mass
avalilable at all times.
Technical Details
Message-ID:
<9212281910.AA24676@yen.capmkt.com>Path:
arc1-ca.pugleaf.net!sparky!uunet!cs.utexas.edu!usc!sdd.hp.com!ux1.cso.uiuc.edu!news.cso.uiuc.edu!danReferences:
<1992Dec23.171131.207@linus.mitre.org>Show Full Headers
Complete Article Headers
Newsgroups: sci.math.research Path: arc1-ca.pugleaf.net!sparky!uunet!cs.utexas.edu!usc!sdd.hp.com!ux1.cso.uiuc.edu!news.cso.uiuc.edu!dan From: robert@capmkt.com Subject: Re: Variational Problem References: <1992Dec23.171131.207@linus.mitre.org> Message-ID: <9212281910.AA24676@yen.capmkt.com> Originator: dan@symcom.math.uiuc.edu Sender: Daniel Grayson <dan@math.uiuc.edu> X-Submissions-To: sci-math-research@uiuc.edu Organization: University of Illinois at Urbana X-Administrivia-To: sci-math-research-request@uiuc.edu Approved: Daniel Grayson <dan@math.uiuc.edu> Date: Mon, 28 Dec 1992 19:10:44 GMT Lines: 9