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math.ST2016★ 2 cited
Reducing bias in nonparametric density estimation via bandwidth dependent kernels: view
Kairat Mynbaev, Carlos Martins-Filho
We define a new bandwidth-dependent kernel density estimator that improves existing convergence rates for the bias, and preserves that of the variation, when the error is measured…
math.ST2014
On Asymptotic Normality of the Local Polynomial Regression Estimator with Stochastic Bandwidths
Carlos Martins-Filho, Paulo Saraiva
Nonparametric density and regression estimators commonly depend on a bandwidth. The asymptotic properties of these estimators have been widely studied when bandwidths are nonstocha…