Nonclassical parameters in kernel estimation
Journal Title: Bulletin de la Société des sciences et des lettres de Łódź, Série: Recherches sur les déformations - Year 2016, Vol 0, Issue 1
Abstract
In kernel method, using in estimation as well as in hypothesis testing problems, two parameters should be fixed: kernel function and smoothing parameter. Some methods of kernel estimation and methods of choosing kernel parameters (classical and nonclassical) are presented. Basing on simulation study results, chosen kernel estimation methods are compared, taking into account their properties.
Authors and Affiliations
Aleksandra Baszczyńska
Estimates for approx-imations by Fourier sums, best approximations and best orthogonal trigonometric approximations of the classes of ψ, β ) differentiable functions / Oszacowania dla aproksymacji sumami Fouriera, najlepszych aproksymacji i najlepszych ortogonalnych trygonometrycznych aproksymacji klas funkcji różniczkowalnych
We obtain the exact-order estimates for approximations by Fourier sums, best ap- proximations and best orthogonal trigonometric approximations in metrics of spaces Ls, 1 ≤s < 1, of classes of 2 π -p eriodic functions, wh...
On the closest distance between a point and a convex body / O najmniejszej odległości między punktem a ciałem wypukłym
On a strictly convex curve we find explicitly a point realizing the shortest distance to a given point lying in the exterior of our curve. The result uses a support function of a strictly convex plane curve and can have...
Classes of convex polyhedra closed under Minkowski addition / Klasy wielościanów wypukłych zamknięte ze względu na dodawanie Minkowskiego
In this paper we study classes of convex polyhedra with normal vectors belonging to a given finite set G of vectors. Since a Minkowski sum A+B of two polyhedra may have normal vectors which are normal to no face of A or...
The bounds of some determinants for functions of bounded turning of order alpha
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Inspiration coming from a paper of A. Boutet de Monvel, J. Janas, and S. Naboko / Inspiracja badawcza wynikająca z niedawnej pracy A. Boutet de Monvel, J. Janasa i A. Naboko
We present our talk at the round table discussion at the Hypercomplex Seminar 2016 (Będlewo, Poland). The note describes an inspiration related with elementary models of unbounded Jacobi martices with with a few bounded...