New methods for bias correction at endpoints and boundaries

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Linearly interpolated FDH efficiency score for nonconvex frontiers (2006, methodology): “For estimating g1(z), we propose to use the slope of the facet involved in ĝLFDH(z), see Park (2001) and Hall and Park (2002). The slope can be easily obtained by computing the hyperplane in the coordinate system (z, u) which passes through the set of points {(zi, ui) | i ∈ Iz} ∪ {(z, ĝLFDH(z))}.”
On boundary correction in kernel density estimation (2005, methodology): “The recent paper of Hall & Park (2002) (hereafter H&P) investigates the following esti- 14 mator.”
Probit Transformation for Kernel Density Estimation on the Unit Interval (2013, background): “Second, local likelihood estimation has been somewhat questioned in Hall and Tao (2002), who showed among other things that, for densities in C2(R), the MISE of the conventional kernel density estimator is at most that of the analog local log-linear estimator, and can be dramatically lower.”