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:
“If we are the younger, we may envy the older. If we are the older, we may feel that the younger is always being indulged. In other words, no matter what position we hold in family order of birth, we can prove beyond a doubt that we’re being gypped.”
—Judith Viorst (20th century)