KnowraOrder statisticLinked fromLinked fromThe 10 pages that link to Order statistic, each with the reason it gives.All 10Related 7Narrower topic 3MedianNarrower topic: The sample median is the central order statistic, or an average of two central order statistics.Empirical distribution functionRelated: Sorted observations determine the locations and sizes of the empirical function’s jumps.Beta distributionRelated: Sample minima and maxima from uniform data have beta distributions.Beta functionRelated: Order-statistic densities involve beta functions through powers of cumulative probabilities.Interquartile rangeRelated: Interpolation or rank-selection choices determine which observations define sample quartiles.QuartileNarrower topic: Sample quartiles are computed from ordered positions, with methods differing on interpolation.Hockey-stick identityRelated: Counting possible ranks connects hockey-stick sums to distributions of sample order statistics.Basu's theoremRelated: In some parameterized models, normalized order statistics are ancillary and can be paired with complete sufficient statistics.Continuous uniform distributionRelated: Uniform samples yield simple distributions for their ranked values.Fisher–Tippett–Gnedenko theoremNarrower topic: The sample maximum is the top order statistic to which the theorem applies.