Geodesic
Laws of large numbers for infinite means with mixing sequences
Filomat, Tome 35 (2021) no. 3, p. 783

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we consider the laws of large numbers with infinite means based on ϕ-mixing sequences. An exact weak law and a strong law are obtained for ϕ-mixing asymmetrical Cauchy random variables. It is also presented that the weak law cannot extend to a strong law. In addition, some simulations are presented to illustrate our results of the laws of large numbers
DOI : 10.2298/FIL2103783H
Classification : 60F05, 60F15
Keywords: Law of large numbers, Infinite mean, Cauchy distribution, Mixing sequences 
Jian Han; Xiaoqin Li; Yudan Cheng. Laws of large numbers for infinite means with mixing sequences. Filomat, Tome 35 (2021) no. 3, p. 783 . doi: 10.2298/FIL2103783H
@article{10_2298_FIL2103783H,
     author = {Jian Han and Xiaoqin Li and Yudan Cheng},
     title = {Laws of large numbers for infinite means with mixing sequences},
     journal = {Filomat},
     pages = {783 },
     year = {2021},
     volume = {35},
     number = {3},
     doi = {10.2298/FIL2103783H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103783H/}
}
TY  - JOUR
AU  - Jian Han
AU  - Xiaoqin Li
AU  - Yudan Cheng
TI  - Laws of large numbers for infinite means with mixing sequences
JO  - Filomat
PY  - 2021
SP  - 783 
VL  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2103783H/
DO  - 10.2298/FIL2103783H
LA  - en
ID  - 10_2298_FIL2103783H
ER  - 
%0 Journal Article
%A Jian Han
%A Xiaoqin Li
%A Yudan Cheng
%T Laws of large numbers for infinite means with mixing sequences
%J Filomat
%D 2021
%P 783 
%V 35
%N 3
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2103783H/
%R 10.2298/FIL2103783H
%G en
%F 10_2298_FIL2103783H

Cité par Sources :