Weaker Conditions to Asymptotic Approximation to L_p-Norms
by Pablo Martínez-Camblor, Norberto Corral
We derive the asymptotic normality for $L_p$-norms of kernel density estimation under
weaker conditions than those requested by Horvath (1991). In particular, the hypothesis (C5) proposed
in the referenced paper restricts the useful measurements excluding the Lebesgue measurements to densities
with infinite support. In this paper, this hypothesis is weakened and we guarantee the asymptotic normality
to $\int|f_n(x)-f(x)|^pdx$\, for an ample variety of densities.
Kernel Estimation, KMT process, Lp Norm
Pablo Martínez-Camblor, firstname.lastname@example.org
Norberto Corral, email@example.com
Coronel-Brizio, Hector F., firstname.lastname@example.org
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