Talk:Divergence (statistics)
WikiProject Statistics  (Rated Startclass, Lowimportance)  


positive definiteness in the definition
The third property of divergence is given in the text as,
 The matrix g^{(D)} (see definition in the “geometrical properties” section) is strictly positivedefinite everywhere on S.
I haven't read the reference yet, but it doesn't seem necessary to put it in the definition. At least, a good explanation is required here. Memming (talk) 18:13, 29 January 2010 (UTC)
Notation
The notation used, while appreciably terse, is also cryptic and unapproachable. This should be revised, either to further enhance its readability or it should link to a page that helps to disambiguate the meaning of the notation used. — Preceding unsigned comment added by 132.3.57.68 (talk) 22:52, 9 March 2012 (UTC)
Merger proposal
I propose that Statistical distance be merged into Divergence (statistics). It seems to me that a statistical distance, when it refers to comparison of two distributions, merely satisfies a somewhat tighter definition than what is required from a divergence. Currently the two articles give conflicting definitions of a distance, and this could be clarified by discussing them in a common framework. I think it would be okay to also explain comparison of a point to a distribution within the article Divergence (statistics), leaving no need for a Statistical distance article, except for as a redirect. Olli Niemitalo (talk) 10:33, 4 December 2014 (UTC)
 Notation
What is the origin of the  notation used in this article? Divergences and distance measures in statistics are traditionally written D(P,Q) or similar rather than D(PQ). While the  notation is not completely unknown in the statistics research literature, it is very rare. The  notation is not used in any of the cited references, nor in the Wikipedia page on statistical distance, nor does it agree with the definition of  in the Wikipedia page List of mathematical symbols. I suggest reverting to historical notation, which is simpler and more widely understood. GKSmyth (talk) 10:18, 28 May 2015 (UTC)