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A New Look at Generalized Means
Department of Statistics, Rice University, Houston, TX, USA
Department of Statistics, Rice University, Houston, TX, USA
- 1 Department of Statistics, Rice University, Houston, TX, USA
- 2 Department of Statistics, Rice University, Houston, TX, USA
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Abstract
Since antiquity, the relationships between 2-tuples and their Pythagorean means have been represented in geometric forms. In this paper, we extend the practice to generalized power means through new representations, and also to 3-tuples. These geometric forms give rise to new algebraic expressions for summary statistics of 2- and 3-tuples.
KeywordsGeometryPower MeansPythagorean MeansOutliers
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