Temat: local error - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Local error structures and order conditions in terms of Lie elements for exponential splitting schemes
Autorzy:: Auzinger, W.
Herfort, W.
Powiązania:: https://bibliotekanauki.pl/articles/255869.pdf
Data publikacji:: 2014
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: exponential splitting schemes
local error
defect
order conditions
free Lie algebra
Opis:: We discuss the structure of the local error of exponential operator splitting methods. In particular, it is shown that the leading error term is a Lie element, i.e., a linear combination of higher-degree commutators of the given operators. This structural assertion can be used to formulate a simple algorithm for the automatic generation of a minimal set of polynomial equations representing the order conditions, for the general case as well as in symmetric settings.
Źródło:: Opuscula Mathematica; 2014, 34, 2; 243-256
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Strong consistency of the local linear relative regression estimator for censored data
Autorzy:: Bouhadjera, Feriel
Saïd, Elias Ould
Powiązania:: https://bibliotekanauki.pl/articles/29519178.pdf
Data publikacji:: 2022
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: censored data
local linear approach
relative error
regression function
uniform almost sure convergence
Opis:: In this paper, we combine the local linear approach to the relative error regression estimation method to build a new estimator of the regression operator when the response variable is subject to random right censoring. We establish the uniform almost sure consistency with rate over a compact set of the proposed estimator. Numerical studies, firstly on simulated data, then on a real data set concerning the death times of kidney transplant patients, were conducted. These practical studies clearly show the superiority of the new estimator compared to competitive estimators.
Źródło:: Opuscula Mathematica; 2022, 42, 6; 805-832
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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