Geodesic
A Note on Invariant Random Variables
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10), DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10) (2010).

Voir la notice de l'article provenant de la source Episciences

In this paper we present a simple theory, based on the notion of group action on a set, which explains why processes of throwing random sets of points and throwing random lines are similar up to the second moment of counting functions connected with them. We also discuss other applications of this method and show how to calculate higher moments using the group acting on a set. 
@article{DMTCS_2010_special_258_a22,
     author = {Cicho\'n, Jacek and Klonowski, Marek},
     title = {A {Note} on {Invariant} {Random} {Variables}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10)},
     year = {2010},
     doi = {10.46298/dmtcs.2786},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2786/}
}
TY  - JOUR
AU  - Cichoń, Jacek
AU  - Klonowski, Marek
TI  - A Note on Invariant Random Variables
JO  - Discrete mathematics & theoretical computer science
PY  - 2010
VL  - DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2786/
DO  - 10.46298/dmtcs.2786
LA  - en
ID  - DMTCS_2010_special_258_a22
ER  - 
%0 Journal Article
%A Cichoń, Jacek
%A Klonowski, Marek
%T A Note on Invariant Random Variables
%J Discrete mathematics & theoretical computer science
%D 2010
%V DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2786/
%R 10.46298/dmtcs.2786
%G en
%F DMTCS_2010_special_258_a22
Cichoń, Jacek; Klonowski, Marek. A Note on Invariant Random Variables. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10), DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10) (2010). doi : 10.46298/dmtcs.2786. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2786/

Cité par Sources :