Talk:Popoviciu's inequality on variances
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[edit]I have found this result referred to as the von Szökefalvi Nagy-Popoviciu inequality, whereas just "Popoviciu inequality" seems to lead to something that looks rather different and very complicated. This seems to be a citation for the result given in this article:
- Popoviciu, T. 1935. “Sur Les Équations Algébriques Ayant Toutes Leurs Racines Réelles.” Mathematica 9:129–145.
I have not seen this, but I found it in http://gking.harvard.edu/files/cem.pdf and this indicates that a full form for the inequality would have a lower bound in the case of a finite population. Melcombe (talk) 15:09, 25 August 2009 (UTC)