Talk:Limiting density of discrete points

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I will eventually expand this to the more general concept of limiting density and move it to that title then. For the meantime, however, I just started with the limiting density in the application with which I am most familiar. Please feel free to contribute/correct. WDavis1911 (talk) 23:47, 1 May 2008 (UTC)

I'm puzzled as to what this article is about. There seems to be an abrupt change of subject, and the limit stated before that is true under any of various different sorts of assumptions, none of which are stated or even hinted at. Michael Hardy (talk) 05:00, 9 May 2008 (UTC)

Totally understandable, and thanks for the attention to the article. I originally started this stub because in my quest to understand Maximum entropy more, I ran into the term limiting density of discrete points, with "limiting density" redlinked. It wasn't clear to me if this meant something special in the context of information theory, so I needed to delve into this more. I couldn't find much more information on how this related to the concept except for the original Jaynes' paper (or at least what I think is the first mention of the term by him in this context) and a few other references discussing Jaynes' work.

Since starting this, I haven't been able to give this the full attention that it needed, but I haven't worried so much because I was sure that if I didn't do it, others in the community would. My feeling, however, is that Jaynes' use of this is not specific to his work at all, and just an application of limiting density to adjust Shannon's entropy measure for continuous distributions. In other words, I think this should be eventually converted to an article talking about limiting density from a probability theory perspective, and not this specific application to maximum entropy. I'm not an expert in probability theory however, so I'd rather let someone else be bold in that regard, at least for now. In the meanwhile, I am trying to supply as much information as I can from my limited perspective. WDavis1911 (talk) 18:47, 15 May 2008 (UTC)