In statistics, the kth order statistic of a statistical sample is equal to its kth-smallest value. Together with rank statistics, order statistics are among the most fundamental tools in non-parametric statistics and inference.
Important special cases of the order statistics are the minimum and maximum value of a sample, and (with some qualifications discussed below) the sample median and other sample quantiles.
When using probability theory to analyze order statistics of random samples from a continuous distribution, the cumulative distribution function is used to reduce the analysis to the case of order statistics of the uniform distribution.
Read more about Order Statistic: Notation and Examples, Probabilistic Analysis, Application: Confidence Intervals For Quantiles, Dealing With Discrete Variables, Computing Order Statistics
Famous quotes containing the word order:
“You listen to artists fighting with each other, competing to the death like gladiators, in order to see who is going to get into a show, who is going to make it, who isn’t: who is going to get a full-page ad and who is going to get a half-page. Then I think, “Wouldn’t it be wonderful to go off somewhere and just do your work?””
—Howardena Pindell (b. 1943)