Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei; Zhang, Sen A complete convergence theorem for row sums from arrays of rowwise independent random elements in Rademacher type \(p\) Banach spaces. II. (English) Zbl 07316867 Stochastic Anal. Appl. 39, No. 1, 177-193 (2021). MSC: 60F15 60B12 60B11 PDF BibTeX XML Cite \textit{T.-C. Hu} et al., Stochastic Anal. Appl. 39, No. 1, 177--193 (2021; Zbl 07316867) Full Text: DOI
Cabrera, Manuel Ordóñez; Rosalsky, Andrew; Ünver, Mehmet; Volodin, Andrei A new type of compact uniform integrability with application to degenerate mean convergence of weighted sums of Banach space valued random elements. (English) Zbl 1440.60009 J. Math. Anal. Appl. 487, No. 1, Article ID 123975, 17 p. (2020). MSC: 60B11 60B12 60F05 46B09 PDF BibTeX XML Cite \textit{M. O. Cabrera} et al., J. Math. Anal. Appl. 487, No. 1, Article ID 123975, 17 p. (2020; Zbl 1440.60009) Full Text: DOI
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei Complete convergence theorems for weighted row sums from arrays of random elements in Rademacher type \(p\) and martingale type \(p\) Banach spaces. (English) Zbl 1423.60057 Stochastic Anal. Appl. 37, No. 6, 1092-1106 (2019). MSC: 60F15 60B12 60B11 PDF BibTeX XML Cite \textit{T.-C. Hu} et al., Stochastic Anal. Appl. 37, No. 6, 1092--1106 (2019; Zbl 1423.60057) Full Text: DOI
Parker, Robert; Rosalsky, Andrew Strong laws of large numbers for double sums of Banach space valued random elements. (English) Zbl 1422.60051 Acta Math. Sin., Engl. Ser. 35, No. 5, 583-596 (2019). MSC: 60F15 60B11 60B12 60F25 PDF BibTeX XML Cite \textit{R. Parker} and \textit{A. Rosalsky}, Acta Math. Sin., Engl. Ser. 35, No. 5, 583--596 (2019; Zbl 1422.60051) Full Text: DOI
Qiu, De Hua; Hub, Tien-Chung; Cabrera, Manuel Ordóñez; Volodin, Andrei Complete convergence for weighted sums of arrays of Banach-space-valued random elements. (English) Zbl 1263.60024 Lith. Math. J. 52, No. 3, 316-325 (2012). MSC: 60F15 60B12 60F25 60G42 PDF BibTeX XML Cite \textit{D. H. Qiu} et al., Lith. Math. J. 52, No. 3, 316--325 (2012; Zbl 1263.60024) Full Text: DOI
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei A complete convergence theorem for row sums from arrays of rowwise independent random elements in Rademacher type \(p\) Banach spaces. (English) Zbl 1237.60022 Stochastic Anal. Appl. 30, No. 2, 343-353 (2012). MSC: 60F15 60B12 60B11 PDF BibTeX XML Cite \textit{T.-C. Hu} et al., Stochastic Anal. Appl. 30, No. 2, 343--353 (2012; Zbl 1237.60022) Full Text: DOI
Hu, Tien-Chung; Rosalsky, Andrew; Wang, Kuo-Lung Some complete convergence results for row sums from arrays of rowwise independent random elements in Rademacher type \(p\) Banach spaces. (English) Zbl 1256.60013 Lobachevskii J. Math. 32, No. 1, 71-87 (2011). MSC: 60F15 46N30 60B10 PDF BibTeX XML Cite \textit{T.-C. Hu} et al., Lobachevskii J. Math. 32, No. 1, 71--87 (2011; Zbl 1256.60013) Full Text: DOI
Nguyen Van Quang; Le Van Thanh; Nguyen Duy Tien Almost sure convergence for double arrays of block-wise \(M\)-dependent random elements in Banach spaces. (English) Zbl 1246.60047 Georgian Math. J. 18, No. 4, 777-800 (2011). Reviewer: Ludwig Paditz (Dresden) MSC: 60F15 60B11 60B12 PDF BibTeX XML Cite \textit{Nguyen Van Quang} et al., Georgian Math. J. 18, No. 4, 777--800 (2011; Zbl 1246.60047) Full Text: DOI
Rosalsky, Andrew; Le Van Thanh Weak laws of large numbers of double sums of independent random elements in Rademacher type \(p\) and stable type \(p\) Banach spaces. (English) Zbl 1238.60008 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e1065-e1074 (2009). MSC: 60B12 60B11 46N30 60F05 PDF BibTeX XML Cite \textit{A. Rosalsky} and \textit{Le Van Thanh}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e1065--e1074 (2009; Zbl 1238.60008) Full Text: DOI
Rosalsky, Andrew; Volodin, Andrei On the weak law with random indices for arrays of Banach space valued random elements. (English) Zbl 1192.60015 Sankhyā 69, No. 2, 330-343 (2007). MSC: 60B12 60B11 PDF BibTeX XML Cite \textit{A. Rosalsky} and \textit{A. Volodin}, Sankhyā 69, No. 2, 330--343 (2007; Zbl 1192.60015) Full Text: Link
Rosalsky, Andrew; Le Van Thanh On almost sure and mean convergence of normed double sums of Banach space valued random elements. (English) Zbl 1124.60007 Stochastic Anal. Appl. 25, No. 4, 895-911 (2007). MSC: 60B12 60F15 60F25 60B11 PDF BibTeX XML Cite \textit{A. Rosalsky} and \textit{Le Van Thanh}, Stochastic Anal. Appl. 25, No. 4, 895--911 (2007; Zbl 1124.60007) Full Text: DOI
Hernández, Víctor; Urmeneta, Henar; Volodin, Andrei On complete convergence for arrays of random elements and variables. (English) Zbl 1115.60006 Stochastic Anal. Appl. 25, No. 2, 281-291 (2007). MSC: 60B12 60F05 60F25 60G42 PDF BibTeX XML Cite \textit{V. Hernández} et al., Stochastic Anal. Appl. 25, No. 2, 281--291 (2007; Zbl 1115.60006) Full Text: DOI
Rosalsky, Andrew; Van Thanh, Le Strong and weak laws of large numbers for double sums of independent random elements in Rademacher type \(p\) Banach spaces. (English) Zbl 1112.60002 Stochastic Anal. Appl. 24, No. 6, 1097-1117 (2006). MSC: 60B12 60F15 60F05 PDF BibTeX XML Cite \textit{A. Rosalsky} and \textit{L. Van Thanh}, Stochastic Anal. Appl. 24, No. 6, 1097--1117 (2006; Zbl 1112.60002) Full Text: DOI
Volodin, A.; Antonini, Giuliano R.; Hu, T.-C. A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements. (English) Zbl 1058.60006 Lobachevskii J. Math. 15, 21-33 (2004). Reviewer: Ludwig Paditz (Dresden) MSC: 60B12 PDF BibTeX XML Cite \textit{A. Volodin} et al., Lobachevskii J. Math. 15, 21--33 (2004; Zbl 1058.60006) Full Text: EMIS EuDML
Hu, T.-C.; Li, D.; Rosalsky, A.; Volodin, A. I. On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements. (English) Zbl 1035.60004 Theory Probab. Appl. 47, No. 3, 455-468 (2002) and Teor. Veroyatn. Primen. 47, No. 3, 533-547 (2002). Reviewer: Anatolij Plichko (Krakow) MSC: 60B12 60F05 60F25 60G42 PDF BibTeX XML Cite \textit{T. C. Hu} et al., Theory Probab. Appl. 47, No. 3, 455--468 (2002; Zbl 1035.60004) Full Text: DOI
Ahmed, S. Ejaz; Giuliano Antonini, Rita; Volodin, Andrei On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with application to moving average processes. (English) Zbl 1017.60013 Stat. Probab. Lett. 58, No. 2, 185-194 (2002). Reviewer: Anatolij Plichko (Kirovograd) MSC: 60B12 60F05 60F25 60G42 PDF BibTeX XML Cite \textit{S. E. Ahmed} et al., Stat. Probab. Lett. 58, No. 2, 185--194 (2002; Zbl 1017.60013) Full Text: DOI
Qiu, Yufeng A note on complete convergence for partial sums of B-valued rowwise independent random elements. (Chinese. English summary) Zbl 1018.60004 J. Math. Study 34, No. 3, 312-317 (2001). MSC: 60B12 46B09 PDF BibTeX XML Cite \textit{Y. Qiu}, J. Math. Study 34, No. 3, 312--317 (2001; Zbl 1018.60004)
Qiu, Yufeng; Gan, Shixin Complete convergence for arrays of \(B\)-valued random elements. (Chinese. English summary) Zbl 0973.60010 J. Wuhan Univ., Nat. Sci. Ed. 45, No. 3, 266-270 (1999). MSC: 60B12 PDF BibTeX XML Cite \textit{Y. Qiu} and \textit{S. Gan}, J. Wuhan Univ., Nat. Sci. Ed. 45, No. 3, 266--270 (1999; Zbl 0973.60010)
Adler, André; Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Volodin, Andrej I. Degenerate weak convergence of row sums for arrays of random elements in stable type \(p\) Banach spaces. (English) Zbl 0980.60011 Bull. Inst. Math., Acad. Sin. 27, No. 3, 187-212 (1999). MSC: 60B12 60F25 60B11 60F05 PDF BibTeX XML Cite \textit{A. Adler} et al., Bull. Inst. Math., Acad. Sin. 27, No. 3, 187--212 (1999; Zbl 0980.60011)
Adler, André; Rosalsky, Andrew; Volodin, Andrej I. Weak laws with random indices for arrays of random elements in Rademacher type \(p\) Banach spaces. (English) Zbl 0884.60007 J. Theor. Probab. 10, No. 3, 605-623 (1997). MSC: 60B12 PDF BibTeX XML Cite \textit{A. Adler} et al., J. Theor. Probab. 10, No. 3, 605--623 (1997; Zbl 0884.60007) Full Text: DOI
Nguyen Van Giang Marcinkiewicz-Zygmund laws for Banach space valued random variables with multidimensional parameters. (English) Zbl 0843.60004 Theory Probab. Appl. 40, No. 1, 175-181 (1995) and Teor. Veroyatn. Primen. 40, No. 1, 213-219 (1995). Reviewer: D.Szynal (Lublin) MSC: 60B12 60F15 60F10 PDF BibTeX XML Cite \textit{Nguyen Van Giang}, Teor. Veroyatn. Primen. 40, No. 1, 213--219 (1995; Zbl 0843.60004)
Bozorgnia, Abolghassem; Patterson, Ronald Frank; Taylor, Robert Lee On strong laws of large numbers for arrays of rowwise independent random elements. (English) Zbl 0844.60005 Int. J. Math. Math. Sci. 16, No. 3, 587-591 (1993). MSC: 60B12 62G05 60F15 PDF BibTeX XML Cite \textit{A. Bozorgnia} et al., Int. J. Math. Math. Sci. 16, No. 3, 587--591 (1993; Zbl 0844.60005) Full Text: DOI Link EuDML
Taylor, Robert Lee; Raina, Carol Calhoun; Daffer, Peter Z. Stochastic convergence of randomly weighted sums of random elements. (English) Zbl 0553.60009 Stochastic Anal. Appl. 2, 299-321 (1984). Reviewer: S.D.Chatterji MSC: 60B12 PDF BibTeX XML Cite \textit{R. L. Taylor} et al., Stochastic Anal. Appl. 2, 299--321 (1984; Zbl 0553.60009) Full Text: DOI