Geodesic
A version of the law of large numbers
Katusi Fukuyama1
1 Department of Mathematics Kobe University Rokko, Kobe, 657-8501 Japan
Colloquium Mathematicum, Tome 90 (2001) no. 2, pp. 295-298

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

By the method of Rio [10], for a locally square integrable periodic function $f$, we prove $ ( f(\mu _1 ^tx ) + \dots+ f(\mu _n ^tx) )/n \to \int _0^1 f$ for almost every $x$ and $t>0$.
DOI : 10.4064/cm90-2-9
Keywords: method rio locally square integrable periodic function prove dots int almost every

Katusi Fukuyama 1

1 Department of Mathematics Kobe University Rokko, Kobe, 657-8501 Japan 
@article{10_4064_cm90_2_9,
     author = {Katusi Fukuyama},
     title = {A version of the law of large numbers},
     journal = {Colloquium Mathematicum},
     pages = {295--298},
     publisher = {mathdoc},
     volume = {90},
     number = {2},
     year = {2001},
     doi = {10.4064/cm90-2-9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm90-2-9/}
}
TY  - JOUR
AU  - Katusi Fukuyama
TI  - A version of the law of large numbers
JO  - Colloquium Mathematicum
PY  - 2001
SP  - 295
EP  - 298
VL  - 90
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm90-2-9/
DO  - 10.4064/cm90-2-9
LA  - en
ID  - 10_4064_cm90_2_9
ER  - 
%0 Journal Article
%A Katusi Fukuyama
%T A version of the law of large numbers
%J Colloquium Mathematicum
%D 2001
%P 295-298
%V 90
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm90-2-9/
%R 10.4064/cm90-2-9
%G en
%F 10_4064_cm90_2_9
Katusi Fukuyama. A version of the law of large numbers. Colloquium Mathematicum, Tome 90 (2001) no. 2, pp. 295-298. doi: 10.4064/cm90-2-9

Cité par Sources :