Abstract:Similar curves" in the present paper refers to a family of curves whose major shape are similar, but who have variation coming from curve-specific sources. The goal here is to develop a general methodology to describe small changes among similar curves. Previous methods mainly focus on dimension reduction through FPCA, which are not appropriate for quantifying local variation. Here we consider a local functional data model which divides data into segments adaptively and models each segment with a shape invaria… Show more
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