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The integral from 0 to x* of x to the n times pdf(x) is usually called the nth partial moment function. Does the corresponding integral from 0 to y* of y to the n of the quantile density function, qdf(y), have a name by which it is most commonly referred in the literature?

andrewH
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    Since even "qdf" is a rather rare term in statistics (although the concept is well known), it might be fruitless to seek a "commonly referred" name. Is there instead a specific statistical problem you are trying to solve that we could help with? – whuber Apr 14 '18 at 18:31

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