In statistics, the *k*th **order statistic** of a statistical sample is equal to its *k*th-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

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