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Extremiles: A New Perspective on Asymmetric Least Squares

Extremiles: A New Perspective on Asymmetric Least Squares

Quantiles and expectiles of a distribution are found to be useful descriptors of its tail in the same way as the median and mean are related to its central behavior. This article considers a valuable alternative class to expectiles, called extremiles, which parallels the class of quantiles and includes the …