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Qualitative meaning of central moments higher than 4th order
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[QUOTE="andrewkirk, post: 5499511, member: 265790"] It's a good question - one I also have wondered about on occasion. It led me to the idea that we could investigate this by finding plotting the statistical distributions that have certain moments and seeing what they look like. For instance, comparing the distributions whose central moments are all zero except for the first five being (0,1,0,0,0) for one and (0,1,0,0,1) for the other would give an idea of what effect the fifth moment had. We could do the same comparison with distributions that had nonzero 3rd and/or 4th moments to see what interaction there was with those. Like you I wondered whether some of the higher moments might generate bumps - local maxima and minima. What's needed then is a recipe to derive the pdf of a distribution from its moments. That's where I ran out of enthusiasm. But perhaps there are better resources available for this now. [URL='http://fks.sk/~juro/docs/paper_spie_2.pdf']This note [/URL]looks like it gives two alternative recipes. [/QUOTE]
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Qualitative meaning of central moments higher than 4th order
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