Geodesic
Nonparametric estimation of quantile versions of the Bonferroni curve
Agnieszka Siedlaczek1
1 Faculty of Mathematics, Physics and Computer Science University of Opole 45-040 Opole, Poland
Applicationes Mathematicae, Tome 51 (2024) no. 2, pp. 131-146

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider the quantile versions of the Bonferroni curve and of the Bonferroni index. Distribution-free estimators of these quantile versions are proposed. Asymptotic properties of the estimators are proved. In simulations we compare the accuracy of the estimators. To illustrate the estimators under study, we perform real data analysis concerning the remission times of bladder cancer patients.
DOI : 10.4064/am2504-6-2024
Keywords: consider quantile versions bonferroni curve bonferroni index distribution free estimators these quantile versions proposed asymptotic properties estimators proved simulations compare accuracy estimators illustrate estimators under study perform real analysis concerning remission times bladder cancer patients

Agnieszka Siedlaczek 1

1 Faculty of Mathematics, Physics and Computer Science University of Opole 45-040 Opole, Poland 
@article{10_4064_am2504_6_2024,
     author = {Agnieszka Siedlaczek},
     title = {Nonparametric estimation of quantile versions of the {Bonferroni} curve},
     journal = {Applicationes Mathematicae},
     pages = {131--146},
     publisher = {mathdoc},
     volume = {51},
     number = {2},
     year = {2024},
     doi = {10.4064/am2504-6-2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am2504-6-2024/}
}
TY  - JOUR
AU  - Agnieszka Siedlaczek
TI  - Nonparametric estimation of quantile versions of the Bonferroni curve
JO  - Applicationes Mathematicae
PY  - 2024
SP  - 131
EP  - 146
VL  - 51
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am2504-6-2024/
DO  - 10.4064/am2504-6-2024
LA  - en
ID  - 10_4064_am2504_6_2024
ER  - 
%0 Journal Article
%A Agnieszka Siedlaczek
%T Nonparametric estimation of quantile versions of the Bonferroni curve
%J Applicationes Mathematicae
%D 2024
%P 131-146
%V 51
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am2504-6-2024/
%R 10.4064/am2504-6-2024
%G en
%F 10_4064_am2504_6_2024
Agnieszka Siedlaczek. Nonparametric estimation of quantile versions of the Bonferroni curve. Applicationes Mathematicae, Tome 51 (2024) no. 2, pp. 131-146. doi: 10.4064/am2504-6-2024

Cité par Sources :