Geodesic
Strong convergence for multiple sums of non-orthogonal random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 55 (2010) no. 2, pp. 382-386 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{TVP_2010_55_2_a12,
     author = {P. A. Yaskov},
     title = {Strong convergence for multiple sums of non-orthogonal random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {382--386},
     year = {2010},
     volume = {55},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2010_55_2_a12/}
}
TY  - JOUR
AU  - P. A. Yaskov
TI  - Strong convergence for multiple sums of non-orthogonal random variables
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2010
SP  - 382
EP  - 386
VL  - 55
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TVP_2010_55_2_a12/
LA  - ru
ID  - TVP_2010_55_2_a12
ER  - 
%0 Journal Article
%A P. A. Yaskov
%T Strong convergence for multiple sums of non-orthogonal random variables
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2010
%P 382-386
%V 55
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_2010_55_2_a12/
%G ru
%F TVP_2010_55_2_a12
P. A. Yaskov. Strong convergence for multiple sums of non-orthogonal random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 55 (2010) no. 2, pp. 382-386. http://geodesic.mathdoc.fr/item/TVP_2010_55_2_a12/

[1] Frolov A. N., “Ob asimptoticheskom povedenii priraschenii sluchainykh polei”, Zap. nauchn. sem. POMI, 298, 2003, 191–207 | MR | Zbl

[2] Klesov O. I., “Skhodimost pochti navernoe kratnykh ryadov nezavisimykh sluchainykh velichin”, Teoriya veroyatn. i ee primen., 40:1 (1995), 68–83 | MR | Zbl

[3] Klesov O., “On the order of growth of orthogonal random fields”, Anal. Math., 29:1 (2003), 15–28 | DOI | MR | Zbl

[4] Andrienko V. A., “Rate of approximation by rectangular partial sums of double orthogonal series”, Anal. Math., 22:4 (1996), 243–266 | DOI | MR | Zbl

[5] Gaposhkin V. F., “Mnogoparametricheskii usilennyi zakon bolshikh chisel dlya odnorodnykh sluchainykh polei”, Uspekhi matem. nauk, 36 (1981), 197–198 | MR | Zbl

[6] Moricz F., “Strong laws of large numbers for quasi-stationary random fields”, Z. Wahrscheinlichkeitstheor. verw. Geb., 51:3 (1980), 249–268 | DOI | MR | Zbl

[7] Klesov O., Fazecas I., Nozaly C., Tomacs T., “Strong Laws of Large Numbers for Sequences and Fields”, Theory Stoch. Proc., 5(21):3–4 (1999), 91–104 | MR | Zbl

[8] Hu T.-C., Rosalsky A., Volodin A. I., “On convergence properties of sums of dependent random variables under second moment and covariance restrictions”, Statist. Probab. Lett., 78:14 (2008), 1999–2005 | DOI | MR | Zbl

[9] Sung S. H., “Maximal inequalities for dependent random variables and applications”, J. Ineq. Appl., 2008 (2008), Article ID 598319 | DOI | MR

[10] Moricz F., “A general maximal inequality of the rectangular partial sums of multiple series”, Acta Math. Hungar., 41:3–4 (1983), 337–346 | DOI | MR | Zbl

[11] Serfling R., “Ob usilennom zakone bolshikh chisel i blizkikh rezultatakh dlya kvazistatsionarnykh posledovatelnostei”, Teoriya veroyatn. i ee primen., 25:1 (1980), 190–194 | MR | Zbl