A statistic is a function of a sample where the function itself is independent of the sample’s distribution.
Warning: Although the plural is ‘statistics’, the entry statistics is about the wider subject and not a collection of statistic-s.
wikipedia: statistic, U-statistic, statistical theory
Leah Jager, Jon A. Wellner, On the “Poisson boundaries” of the family of weighted Kolmogorov statistics, Anirban DasGupta, ed., Lecture Notes–Monograph Series 45, A Festschrift for Herman Rubin (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2004), 319-331, MR2126907 euclid doi
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