bibtype C - Conference Paper (international conference)
ARLID 0564518
utime 20240406001922.6
mtime 20221125235959.9
WOS 000936355000066
title (primary) (eng) A Bootstrap Comparison of Robust Regression Estimators
specification
page_count 7 s.
media_type E
serial
ARLID cav_un_epca*0564517
ISBN 978-80-88064-62-6
title Mathematical Methods in Economics 2022: Proceedings
page_num 161-167
publisher
place Jihlava
name College of Polytechnics Jihlava
year 2022
editor
name1 Vojáčková
name2 H.
keyword linear regression
keyword robust estimation
keyword nonparametric bootstrap
keyword bootstrap hypothesis testing
author (primary)
ARLID cav_un_auth*0263018
name1 Kalina
name2 Jan
institution UIVT-O
full_dept (cz) Oddělení strojového učení
full_dept (eng) Department of Machine Learning
full_dept Department of Machine Learning
fullinstit Ústav informatiky AV ČR, v. v. i.
author
ARLID cav_un_auth*0448197
name1 Janáček
name2 Patrik
institution UTIA-B
full_dept (cz) Stochastická informatika
full_dept Department of Stochastic Informatics
department (cz) SI
department SI
country CZ
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url https://mme2022.vspj.cz/download/proceedings-4.pdf
cas_special
project
project_id GA21-05325S
agency GA ČR
ARLID cav_un_auth*0409039
abstract (eng) The ordinary least squares estimator in linear regression is well known to be highly vulnerable to the presence of outliers in the data and available robust statistical estimators represent more preferable alternatives. It has been repeatedly recommended to use the least squares together with a robust estimator, where the latter is understood as a diagnostic tool for the former. In other words, only if the robust estimator yields a very different result, the user should investigate the dataset closer and search for explanations. For this purpose, a hypothesis test of equality of the means of two alternative linear regression estimators is proposed here based on nonparametric bootstrap. The performance of the test is presented on three real economic datasets with small samples. Robust estimates turn out not to be significantly different from non-robust estimates in the selected datasets. Still, robust estimation is beneficial in these datasets and the experiments illustrate one of possible ways of exploiting the bootstrap methodology in regression modeling. The bootstrap test could be easily extended to nonlinear regression models.
action
ARLID cav_un_auth*0440547
name MME 2022: International Conference on Mathematical Methods in Economics /40./
dates 20220907
mrcbC20-s 20220909
place Jihlava
country CZ
FORD0 10000
FORD1 10100
FORD2 10103
reportyear 2023
mrcbC47 UTIA-B 10000 10100 10103
mrcbC52 4 O 4o 20231122150950.0
inst_support RVO:67985807
inst_support RVO:67985556
permalink https://hdl.handle.net/11104/0336179
confidential S
mrcbC86 n.a. Proceedings Paper Economics|Mathematics Interdisciplinary Applications|Social Sciences Mathematical Methods
arlyear 2022
mrcbTft \nSoubory v repozitáři: 0564518-aonl.pdf
mrcbU14 SCOPUS
mrcbU24 PUBMED
mrcbU34 000936355000066 WOS
mrcbU63 cav_un_epca*0564517 Mathematical Methods in Economics 2022: Proceedings College of Polytechnics Jihlava 2022 Jihlava 161 167 978-80-88064-62-6
mrcbU67 Vojáčková H. 340