Voir la notice de l'article provenant de la source Math-Net.Ru
@article{LJM_2004_15_a2, author = {A. I. Volodin and R. Antonini and T.-Ch. Hu}, title = {A~note on the rate of complete convergence for weighted sums of arrays of {Banach} space valued random elements}, journal = {Lobachevskii journal of mathematics}, pages = {21--33}, publisher = {mathdoc}, volume = {15}, year = {2004}, language = {en}, url = {http://geodesic.mathdoc.fr/item/LJM_2004_15_a2/} }
TY - JOUR AU - A. I. Volodin AU - R. Antonini AU - T.-Ch. Hu TI - A~note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements JO - Lobachevskii journal of mathematics PY - 2004 SP - 21 EP - 33 VL - 15 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/LJM_2004_15_a2/ LA - en ID - LJM_2004_15_a2 ER -
%0 Journal Article %A A. I. Volodin %A R. Antonini %A T.-Ch. Hu %T A~note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements %J Lobachevskii journal of mathematics %D 2004 %P 21-33 %V 15 %I mathdoc %U http://geodesic.mathdoc.fr/item/LJM_2004_15_a2/ %G en %F LJM_2004_15_a2
A. I. Volodin; R. Antonini; T.-Ch. Hu. A~note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements. Lobachevskii journal of mathematics, Tome 15 (2004), pp. 21-33. http://geodesic.mathdoc.fr/item/LJM_2004_15_a2/
[1] Adler, A., Ordóñez Cabrera, M., Rosalsky, A., and Volodin, A., “Degenerate weak convergence of row sums for arrays of random elements in stable type $p$ Banach spaces”, Bulletin of the Institute of Mathematics Academia Sinica, 27 (1999), 187–212 | MR | Zbl
[2] Ahmed, S. E., Giuliano Antonini, R., Volodin, A., “On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with applications to moving average processes”, Statist. Probab. Lett., 58 (2002), 185–194 | DOI | MR | Zbl
[3] Gut, A.,, “Complete convergence for arrays”, Periodica Math. Hungarica, 25 (1992), 51–75 | DOI | MR | Zbl
[4] Hsu, P. L., and Robbins, H., “Complete convergence and the law of large numbers”, Proc. Nat. Acad. Sci. U.S.A., 33 (1947), 25–31 | DOI | MR | Zbl
[5] Hu, T.-C., Li, D., Rosalsky, A., and Volodin, A., “On the rate of complete convergence for weighted sums of Banach spaces valued random elements”, Theory Probab. Appl., 47 (2002), 455–468 | MR | Zbl
[6] Hu, T.-C., Moricz, F., and Taylor, R. L., “Strong laws of large numbers for arrays of rowwise independent random variables”, Acta Math. Acad. Sci. Hungar., 54 (1989), 153–162 | MR | Zbl
[7] Hu, T.-C., Rosalsky, A., Szynal, D., and Volodin, A., “On complete convergence for arrays of rowwise independent random elements in Banach spaces”, Stochastic Anal. Appl., 17 (1999), 963–992 | DOI | MR | Zbl
[8] Kuczmaszewska, A., and Szynal, D., “On complete convergence in a Banach space”, Internat. J. Math. Math. Sci., 17 (1994), 1–14 | DOI | MR | Zbl
[9] Pruitt, W. E., “Summability of independent random variables”, J. Math. Mech., 15 (1966), 769–776 | MR | Zbl
[10] Rohatgi, V. K., “Convergence of weighted sums of independent random variables”, Proc. Cambridge Philos. Soc., 69 (1971), 305–307 | DOI | MR | Zbl
[11] Sung, S. H., “Complete convergence for weighted sums of arrays of rowwise independent $B$-valued random variables”, Stochastic Anal. Appl., 15 (1997), 255–267 | DOI | MR | Zbl
[12] Taylor, R. L., Stochastic Convergence of Weighted Sums of Random Elements in Linear Spaces, Lect. Notes Math., 672, Springer-Verlag, Berlin, 1978 | MR | Zbl
[13] Wang, X., Rao, M. B., and Yang, X., “Convergence rates on strong laws of large numbers for arrays of rowwise independent elements”, Stochastic Anal. Appl., 11 (1993), 115–132 | DOI | MR | Zbl