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AbstractThe basic distribution theory of order statistics (ordered random variables) is developed for both finite random samples and asymptotically. The use of order statistics in the estimation of parameters is described, with special emphasis on suitably chosen linear functions of these variables. Order statistics provide simple robust estimators of location, such as the median or trimmed means. They are also useful, as outlined below, in the treatment of outliers, simultaneous inference, data compression, probability plotting, ranked‐set sampling, and ranking and selection.
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