bibtype C - Conference Paper (international conference)
ARLID 0583619
utime 20240402215303.7
mtime 20240305235959.9
title (primary) (eng) Ambiguity in Stochastic Optimization Problems with Nonlinear Dependence on a Probability Measure via Wasserstein Metric
specification
page_count 6 s.
media_type P
serial
ARLID cav_un_epca*0583562
ISBN 978-80-11-04132-8
ISSN 2788-3965
title Proceedings of the 41st International Conference on Mathematical Methods in Econometrics
page_num 192-197
publisher
place Praha
name The Czech Society of Operations Research
year 2023
editor
name1 Sekničková
name2 Jana
editor
name1 Holý
name2 Vladimír
keyword Stochastic optimization problems
keyword static problems
keyword empirical measure
keyword point estimates
keyword interval estimates
keyword nonlinear dependence
author (primary)
ARLID cav_un_auth*0101122
name1 Kaňková
name2 Vlasta
institution UTIA-B
full_dept (cz) Ekonometrie
full_dept (eng) Department of Econometrics
department (cz) E
department (eng) E
full_dept Department of Econometrics
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url http://library.utia.cas.cz/separaty/2023/E/kankova-0583619.pdf
cas_special
project
project_id GA18-02739S
agency GA ČR
ARLID cav_un_auth*0363963
abstract (eng) Many economic and financial applications lead to deterministic optimization problems depending on a probability measure. It happens very often (in applications) that these problems have to be solved on the data base. Point estimates of an optimal value and estimates of an optimal solutionset can be obtained by this approach. A consistency, a rate of convergence and normal properties, of these estimates, have been discussed (many times) not only under assumptions of independent data corresponding to the distributions with light tails, but also for weak dependent data and the distributions with heavy tails. However, it is also possible to estimate (on the data base) a confidence intervals and bounds for the optimal value and the optimal solutions. To analyze this approach we focus on a special case of static problems depending nonlineary on the probability measure. Stability results based on the Wasserstein metric and the Valander approach will be employed for the above mentioned analysis.
action
ARLID cav_un_auth*0464093
name MME 2023: Mathematical Methods in Economics /41./
dates 20230913
place Prague
country CZ
mrcbC20-s 20230915
url mme2023.vse.cz
RIV AH
FORD0 50000
FORD1 50200
FORD2 50201
reportyear 2024
presentation_type PR
inst_support RVO:67985556
permalink https://hdl.handle.net/11104/0351623
confidential S
arlyear 2023
mrcbU02 C
mrcbU12 978-80-11-04132-8
mrcbU63 cav_un_epca*0583562 Proceedings of the 41st International Conference on Mathematical Methods in Econometrics The Czech Society of Operations Research 2023 Praha 192 197 978-80-11-04132-8 2788-3965
mrcbU67 Sekničková Jana 340
mrcbU67 Holý Vladimír 340