The order statistics of a sample are the values placed in ascending order. The i-th order statistic of a statistical sample is equal to its i-th smallest value; so the sample minimum is the first order statistic & the sample maximum is the last. Order statistics are widely used in non-parametric inference.

This tag is for questions about order statistics and for questions in which one wants to calculate a probability, expected value, variance, standard deviation, or similar quantity of order statistics.

The order statistics of a sample are the values placed in ascending order. The i-th order statistic of a statistical sample is equal to its i-th smallest value; so the sample minimum is the first order statistic & the sample maximum is the last. Sometimes 'order statistic' is used to mean the whole set of order statistics, i.e. the data values disregarding the sequence in which they occurred. Order statistics are widely used in non-parametric inference, methods which avoid assuming the form of distribution of the population from which a sample is drawn.