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Hi, Mathstat. Thanks for your work on the Distance correlation article. I have a couple of questions about dcor that probably don't belong on the article's discussion page:
1. I'm sure I'm just not seeing the obvious, but I don't see the difference between E|X-X’||Y-Y’|, E|X – X’||Y – Y"|, and E|X – X"||Y – Y’|. Since no-prime, prime, and double-prime are all iid, why does it make any difference for the calculation whether e.g. X’ or X" is subtracted from X under the expectation operator?
It may be more clear if the expectations are written in integral form with the corresponding joint densities. One can also gain some insight by looking at the sample coefficients, which correspond to certain finite populations.
2. I would think an ideal measure of degree of dependence would have not only the property that dcor = 0 iff they're independent, but also that dcor = 1 iff they are non-stochastically related according to xi = f(yi) for all i, for some non-stochastic function f. Does the latter or something like it hold for dcor? I.e., does dcor provide a test for a non-stochastic relationship? Duoduoduo (talk) 16:41, 22 December 2010 (UTC)[reply]
Under distance correlation properties, (iii) dcor(X,Y)=1 implies that Y=a+bCX. Thus 0<dcor(X,Y)<1 if the function f is not a linear transformation. Testing for a non-stochastic relationship is an interesting question, which could potentially be an application of dcor, but I am not aware of any more general results to date.
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A tag has been placed on Lukacs Distinguished Professor requesting that it be speedily deleted from Wikipedia. This has been done under section A3 of the criteria for speedy deletion, because it is an article with no content whatsoever, or whose contents consist only of external links, a "See also" section, book references, category tags, template tags, interwiki links, a rephrasing of the title, or an attempt to contact the subject of the article. Please see Wikipedia:Stub for our minimum information standards for short articles. Also please note that articles must be on notable subjects and should provide references to reliable sources that verify their content.
If you think that this notice was placed here in error, you may contest the deletion by adding {{hang on}} to the top of the page that has been nominated for deletion (just below the existing speedy deletion, or "db", tag; if no such tag exists, then the page is no longer a speedy delete candidate and adding a hang-on tag is unnecessary), coupled with adding a note on the talk page explaining your position, but be aware that once tagged for speedy deletion, if the page meets the criterion, it may be deleted without delay. Please do not remove the speedy deletion tag yourself, but don't hesitate to add information to the page that would render it more in conformance with Wikipedia's policies and guidelines. If the page is deleted, you can contact one of these administrators to request that the administrator userfy the page or email a copy to you. The Blade of the Northern Lights (話して下さい) 19:23, 10 January 2011 (UTC)[reply]
It had absolutely no content at the time I got to it, and was rightly deleted as such. It's good that you recreated it; however, the version I tagged (I didn't delete it, I'm not an admin) clearly fell under CSD A3. When creating a page, you should include at least some basic information; we have no idea if you'll ever come back to the article, and after a little while it's standard procedure to tag a page with no content. But I'm glad you recreated it; don't get discouraged, just remember that going forward. It'll make everyone's life easier. The Blade of the Northern Lights (話して下さい) 20:38, 10 January 2011 (UTC)[reply]
You can take up the deletion with the deleting admin; I have no control over that. Very few people do what I do (New Page Patrol), so I have to make quick decisions, and at the time the page had no content. For future reference, there are two templates you can put on top of the page, {{underconstruction}} and {{editing}}, which will alert people that you're still working on the article, and will give you some extra time. You can also work on things in userspace by making User:Mathstat/Name of Article, then move it into mainspace when you feel it's ready. I hope that's helpful. The Blade of the Northern Lights (話して下さい) 21:28, 10 January 2011 (UTC)[reply]
If you look at the top of your screen, there should be an arrow; if you hover over it, there should be a dropdown menu that says "move". If you're having trouble, the relevant page is WP:MOVE. If you still have issues, you can go to the helpdesk and ask someone there. And before I go, I read over your article, and I'm impressed; it looks very good now. Nice work. The Blade of the Northern Lights (話して下さい) 21:39, 10 January 2011 (UTC)[reply]
You asked about my changing of some of the categories that you had placed 2 articles in. There is a general understanding that "categories" should be fairly specific and of modest size so that they are usful for grouping similar things together. We did have a situation where there were 400 articles directly in category "Statistics", all very disparate, so that it was essdentially useless. Similarly for "Probability". There is a need find one (or preferably some) of the subcategories under these roots to find useful ideas the article can be grouped with. After all, Wikipedia does not have a category called "All articles in Wikipedia". It is always a good idea to look at what other articles are already in a category you are thinking of using. The "Theory of probability distributions" category for example contains things that describe or characterise distributions or which allow them to be combined, relevant to its being a subcategory of "Probability distributions".
You mention "biographies" ... not all biographies are directly in category "Biographies" (if there is one). Typically "biographies" suffer from ambiguity of nationality and this may have led to some understandable difference in treatment there, ... or just a general laziness of participants.
The "Estimation theory" category has suffered (and still does) from its starting out as a mixture of estimation-in-statistics and estimation-in-signal-processing: some better subcategorisation of this and "Statistical theory" may well be needed. To some extent, U-statistics and V-statistics are similar ... if it were possible to find other articles with which they should be grouped then it may be possible to devise some new sub-categories that would help to clean up these parts of the "Statistics" and "Probability" trees of categories.
I suggest: (i) that (if you haven't already done so) you start at these roots and expand the subcategories there to see what is already in existence; (ii) that you look to see what Wikepedia's strategy for "Categories" is. One way of doing the latter is to use Wikipedia's search facility .... click on "search" with an empty search field ...this should bring up a general search page ... click on "Advanced", untick "Articles" and tick "Wikipedia", then enter terms on which you seek background, such as "categories", "see also" etc.. 10:08, 24 February 2011 (UTC)
Thanks very much for the detailed explanation. In biographies I was referring to the large categories like "Living persons" or "1960 births" and really narrow categories like Fellows of whatever society or Alumni of Harvard, etc. Anyway I can accept if different types of articles follow different conventions. I will follow your suggestions to see if I can get a good sense of what the statistics community would prefer.
Still I cannot feel good about "Estimation theory" being the only category for V-statistics or U-statistics, and I feel that those two articles should really have identical categories. Which one is applied (U or V) really is more of a function of the type of application. If the limit distribution is normal then U-statistics are sometimes nicer. If the limit distribution is quadratic form of centered Gaussian, then the V-statistics are more natural. The real breakthrough of Cramer was that he could handle the degenerate cases that Hoeffding's projection method could not. So it gave unifying theory to both U-statistics and V-statistics. The category for me would be asymptotic theory, I suppose. I noticed that there is a category called Asymptotic analysis. Does that seem appropriate?
Maybe "Symmetric statistics" would be a category containing both U and V statistics (there is no such article or category that I could find.) In the literature this term is sometimes used, but unfortunately this term probably suggests to the average person a statistic with a symmetric distribution rather than a statistic defined by a symmetric kernel. The statistics that would fit into this category would be in addition familiar examples Cramer-von Mises statistics (in general) including Anderson-Darling statistics (all the quadratic EDF statistics), the special cases of those for testing normality; some less familiar statistics like nearest neighbor statistics for equality of distribution, and many others (even excluding examples from my own research the list is long). But some of these nice examples are not yet in WP. Mathstat (talk) 18:16, 25 February 2011 (UTC)[reply]
A suggestion is that we could place a category "Distributions of sample satatistics" under both "Probability distributions" and "Statistical theory", with the intentions being that these articles are related to finding distributions of estimates etc.. Note that I think that even "test statistics" in hypothesis tests are estimating something. But we need to choose category names that are generally understandable. We could also invent a category "Asymptotic statistical theory" and leave Category:Asymptotic analysis to cover more ordinary mathematical analysis. You might like to think about adding some appropriate text and links to the article Asymptotic theory (statistics) for U and V statistics. Melcombe (talk) 10:05, 28 February 2011 (UTC)[reply]
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Hi. Thank you for your recent edits. Wikipedia appreciates your help. We noticed though that when you edited Distance correlation, you added a link pointing to the disambiguation page Characteristic function (check to confirm | fix with Dab solver). Such links are almost always unintended, since a disambiguation page is merely a list of "Did you mean..." article titles. Read the FAQ • Join us at the DPL WikiProject.
...for correcting my almost unbelievable mistake here. I must have been extremely tired when I made those edits, as I know full well that the two formulations are equivalent. I also know that the stuff about being a biased estimate is completely off the point, as there is no unbiased estimate of the correlation coefficient. I seem to have had a weird confusion in my mind between the correlation coefficient and the variance, goodness knows how or why. JamesBWatson (talk) 11:02, 10 May 2013 (UTC)[reply]
If you have any info can you see the "See Also" section of this article. It needs some expert attention. May be you can help. Solomon7968 (talk) 13:13, 22 May 2013 (UTC)[reply]
Long-time Wikipedian increasingly semi-retired; kinda desperate for stats advice
Ummm, editing for... wow, nearly 7 years.. as Ling.Nut and various other names... see User:Ling.Nut/awards ... Yes, I know that asking for real-world stats advice (not actual help, just advice as to how to approach some problems) is probably the height of socially unacceptable behavior. But I'm semi-desperate. May I email you? • Serviceable†Villain13:08, 5 June 2013 (UTC)[reply]
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Hi. Thank you for your recent edits. Wikipedia appreciates your help. We noticed though that when you edited Univariate distribution, you added links pointing to the disambiguation pages T distribution and Uniform distribution. Such links are almost always unintended, since a disambiguation page is merely a list of "Did you mean..." article titles. Read the FAQ • Join us at the DPL WikiProject.
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