Simultaneous estimation of quantile curves using quantile sheets

Sabine Schnabel () and Paul Eilers ()

AStA Advances in Statistical Analysis, 2013, vol. 97, issue 1, 77-87

Abstract: The results of quantile smoothing often show crossing curves, in particular, for small data sets. We define a surface, called a quantile sheet, on the domain of the independent variable and the probability. Any desired quantile curve is obtained by evaluating the sheet for a fixed probability. This sheet is modeled by $$P$$ -splines in form of tensor products of $$B$$ -splines with difference penalties on the array of coefficients. The amount of smoothing is optimized by cross-validation. An application for reference growth curves for children is presented. Copyright The Author(s) 2013

Keywords: $$P$$ -splines; Quantiles; Smoothing; Tensor product (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (12)

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DOI: 10.1007/s10182-012-0198-1

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