Geodesic
Variance bounds for disc-polygons
Documenta mathematica, Tome 27 (2022), pp. 1015-1029.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We prove asymptotic lower bounds on the variance of the number of vertices and missed area of random disc-polygons in convex discs whose boundary is $C_+^2$ smooth. The established lower bounds are of the same order as the upper bounds proved previously in [\textit{F. Fodor} and \textit{V. Vígh}, J. Appl. Probab. 55, No. 4, 1143--1157 (2018; Zbl 1407.52004)].
Classification : 52A22, 60D05
Keywords: disc-polygons, random approximation, variance, asymptotic lower bounds 
@article{DOCMA_2022__27__a40,
     author = {Fodor, Ferenc and Gr\"unfelder, Bal\'azs and V{\'\i}gh, Viktor},
     title = {Variance bounds for disc-polygons},
     journal = {Documenta mathematica},
     pages = {1015--1029},
     publisher = {mathdoc},
     volume = {27},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a40/}
}
TY  - JOUR
AU  - Fodor, Ferenc
AU  - Grünfelder, Balázs
AU  - Vígh, Viktor
TI  - Variance bounds for disc-polygons
JO  - Documenta mathematica
PY  - 2022
SP  - 1015
EP  - 1029
VL  - 27
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a40/
LA  - en
ID  - DOCMA_2022__27__a40
ER  - 
%0 Journal Article
%A Fodor, Ferenc
%A Grünfelder, Balázs
%A Vígh, Viktor
%T Variance bounds for disc-polygons
%J Documenta mathematica
%D 2022
%P 1015-1029
%V 27
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a40/
%G en
%F DOCMA_2022__27__a40
Fodor, Ferenc; Grünfelder, Balázs; Vígh, Viktor. Variance bounds for disc-polygons. Documenta mathematica, Tome 27 (2022), pp. 1015-1029. http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a40/