Statistics – Methodology
Scientific paper
2011-03-30
Journal of Multivariate Analysis, 99, 403--420, 2008
Statistics
Methodology
Scientific paper
We present a new method for estimating the frontier of a multidimensional sample. The estimator is based on a kernel regression on the power-transformed data. We assume that the exponent of the transformation goes to infinity while the bandwidth of the kernel goes to zero. We give conditions on these two parameters to obtain complete convergence and asymptotic normality. The good performance of the estimator is illustrated on some finite sample situations.
Girard Stéphane
Jacob Pierre
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