Simultaneous estimation of quantile curves using quantile sheets
AStA Advances in Statistical Analysis(2012)
摘要
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.
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关键词
P -splines,Quantiles,Smoothing,Tensor product
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