Abstract:A modified gamma kernel should not be automatically preferred to the standard gamma kernel, especially for univariate convex densities with a pole at the origin. In the multivariate case, multiple combined gamma kernels, defined as a product of univariate standard and modified ones, are here introduced for nonparametric and semiparametric smoothing of unknown orthant densities with support [0, ∞) d . Asymptotical properties of these multivariate associated kernel estimators are established. Bayesian estimation… Show more
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