Abstract:
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The construction and visualization of boxplot-type displays for functional data, based on the geometry of the function space, is proposed. Employing a representation of the functions, referred to as the square-root slope representation, a Riemannian-geometric framework is used to decompose observed variation into amplitude, phase and vertical translation components, and a separate display is constructed for each component. The metric-based framework allows for the computation of a median and two quartile functions, and enables identification of outlying functions.
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