TY - JOUR ID - Jarnicka2009 LB - Jarnicka2009 AU - Jarnicka, Jolanta TI - Multivariate kernel density estimation with a parametric support ST - Multivariate kernel density estimation with a parametric support JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2009 VL - 29 IS - 1 SP - 41 EP - 55 DO - http://dx.doi.org/10.7494/OpMath.2009.29.1.41 UR - http://dx.doi.org/10.7494/OpMath.2009.29.1.41 AB - We consider kernel density estimation in the multivariate case, focusing on the use of some elements of parametric estimation. We present a two-step method, based on a modification of the EM algorithm and the generalized kernel density estimator, and compare this method with a couple of well known multivariate kernel density estimation methods. KW - density estimation KW - kernel KW - bandwidth KW - kernel density estimator KW - EM algorithm SN - 1232-9274 ER -