Asymptotic properties of Dirichlet kernel density estimators
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Multivariate Analysis"
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
The Euler numbers and recursive properties of Dirichlet L-functions
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Difference Equations"
DOI: 10.1186/s13662-018-1853-y
Abstract: The aim of this paper is using an elementary method and the properties of the Bernoulli polynomials to establish a close relationship between the Euler numbers of the second kind En∗$E_{n}^{*}$ and the Dirichlet L-function… read more here.
Keywords: numbers recursive; properties dirichlet; dirichlet functions; recursive properties ... See more keywords