Asymptotic properties of Dirichlet kernel density estimators
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DOI: 10.1016/j.jmva.2021.104832
Abstract: We study theoretically, for the first time, the Dirichlet kernel estimator introduced by Aitchison and Lauder [3] for the estimation of multivariate densities supported on the d-dimensional simplex. The simplex is an important case as… read more here.
Keywords: kernel density; dirichlet kernel; density estimators; kernel estimator ... See more keywords
On the Exact Asymptotic Error of the Kernel Estimator of the Conditional Hazard Function for Quasi-Associated Functional Variables
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DOI: 10.3390/math13132172
Abstract: The goal of this research is to analyze the mean squared error (MSE) of the kernel estimator for the conditional hazard rate, assuming that the sequence of real random vector variables (Un)n∈N satisfies the quasi-association… read more here.
Keywords: conditional hazard; kernel estimator; estimator conditional; error ... See more keywords