Gerenuk
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Which of the generalized means (like http://en.wikipedia.org/wiki/Generalized_mean and more general) do you think is most suitable to approximate the median?
Which Generalized Mean Best Approximates the Median?
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The mean itself. Basically, the concept is a generalization of moments for non-integer cases (specifically the nth root of the nth moment).
Gerenuk
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You can invent many different generalizations like
http://en.wikipedia.org/wiki/Generalized_f-mean
http://en.wikipedia.org/wiki/Lehmer_mean
http://en.wikipedia.org/wiki/Logarithmic_mean
Now I wonder if any of these means does better than the arithmetic mean!?
http://en.wikipedia.org/wiki/Generalized_f-mean
http://en.wikipedia.org/wiki/Lehmer_mean
http://en.wikipedia.org/wiki/Logarithmic_mean
Now I wonder if any of these means does better than the arithmetic mean!?
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