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Similarity between -/+ weighted distributions
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[QUOTE="Stephen Tashi, post: 6025346, member: 186655"] You must define what you mean by "good" in order to pose a mathematical problem. If you can't articulate a mathematical definition of "good", perhaps you can explain "good" the full context of a real life problem. It is meaningless to speak of "good" or "bad" statistical measures unless it is clear what decisions will be made on the basis of those measures. Can you give an example of what decisions will be made using a similarity measure? Can you give an example of two different distributions that you want the similarity measure to say are "similar"? It isn't clear whether you are using "distribution" to describe empirical data or whether you use "distribution" to mean an assumed model for the data. It's hard to imagine such situation. One way to think about it is that my friend Eddie records deviations from a background distribution that he knows. Then Eddie gives me the data without telling me the background distribution. Unless I imagine that somebody knows the background distribution, I don't understand how anyone can measure [i]deviations[/i] from it. If all I have is empirical data then I can measure the deviation of each datum from the sample mean of the data. Is that what you mean by deviations from an unknown background distribution? [/QUOTE]
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Similarity between -/+ weighted distributions
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