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Date:   Mon, 22 Sep 2003 12:01:17 -0400
Reply-To:   Mark Lamias <Mark.Lamias@GRIZZARD.COM>
Sender:   "SAS(r) Discussion" <SAS-L@LISTSERV.UGA.EDU>
From:   Mark Lamias <Mark.Lamias@GRIZZARD.COM>
Subject:   Re: OT Statistical question
Comments:   To: Peter Flom <flom@NDRI.ORG>
Content-Type:   text/plain; charset="iso-8859-1"

See:

1. Groeneboom, P., and Wellner, J.A. (1992), Information Bounds and Nonparametric Maximum Likelihood Estimation, Basel: Birkh¨auser.

2. Jongbloed, Geurt (1998). The Iterative Convex Minorant Algorithm for Nonparametric Estimation (http://www.amstat.org/publications/jcgs/pdf_98/jongbloed.pdf).

Sincerely yours,

Mark J. Lamias, Statistical Consultant

-----Original Message----- From: Peter Flom [mailto:flom@NDRI.ORG] Sent: Monday, September 22, 2003 11:44 AM To: SAS-L@LISTSERV.UGA.EDU Subject: OT Statistical question

Does anyone know the meaning of the terms "minorant" and "majorant"?

context: "Consider the n(n-1)/2 possible modal intervals and compute for each (xi, xj) the greatest convex minorant of the empirical distribution function Fn in (-infinity, xi) and the least concave majorant of Fn in (xj, infinity)"

Thanks in advance

Peter

Peter L. Flom, PhD Assistant Director, Statistics and Data Analysis Core Center for Drug Use and HIV Research National Development and Research Institutes 71 W. 23rd St www.peterflom.com New York, NY 10010 (212) 845-4485 (voice) (917) 438-0894 (fax)


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