Optimal asymmetric kernels

By K. Abadir, S. Lawford. 2004

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Local Multiplicative Bias Correction for Asymmetric Kernel Density Estimators (2007, unknown): “+ Ã v (1) 0 (x) v0 (x) f0 (x) + f (1) 0 (x) ! x{r((1)) 0 (x)− r((1))(x, θ2)}b”
CONSISTENCY OF ASYMMETRIC KERNEL DENSITY ESTIMATORS AND SMOOTHED HISTOGRAMS WITH APPLICATION TO INCOME DATA (2005, background): “Note that these asymmetric kernels do not take the form (x t;b) where is an asymmetric function (instead of a symmetric one), and thus do not belong to the class studied by Abadir and Lawford (2003) .”
A nonparametric method for estimating asymmetric densities based on skewed Birnbaum–Saunders distributions applied to environmental data (2013, background): “Abadir and Lawford (2004) provided a justification for the use of asymmetric kernels arguing that density estimators in moderately-sized samples tend to acquire salient properties of their kernels. Several other methods have been suggested to address the boundary problem in kernel density estimation”