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 OpenURL
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 OpenURL
Parker, R.; Rosalsky, A. On complete convergence in mean for double sums of independent random elements in Banach spaces. (English) Zbl 1386.60018 Lobachevskii J. Math. 38, No. 1, 177-191 (2017). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60B11 60B12 60F15 60F25 40B05 PDF BibTeX XML Cite \textit{R. Parker} and \textit{A. Rosalsky}, Lobachevskii J. Math. 38, No. 1, 177--191 (2017; Zbl 1386.60018) Full Text: DOI OpenURL
Kvaratskhelia, V.; Tarieladze, V.; Vakhania, N. Characterization of \(\gamma\)-subgaussian random elements in a Banach space. (English. Russian original) Zbl 1359.46009 J. Math. Sci., New York 216, No. 4, 564-568 (2016); translation from Sovrem. Mat. Prilozh. 94 (2014). MSC: 46B09 60B11 PDF BibTeX XML Cite \textit{V. Kvaratskhelia} et al., J. Math. Sci., New York 216, No. 4, 564--568 (2016; Zbl 1359.46009); translation from Sovrem. Mat. Prilozh. 94 (2014) Full Text: DOI OpenURL
Ulyanov, V. V. On properties of polynomials in random elements. (English. Russian original) Zbl 1381.60015 Theory Probab. Appl. 60, No. 2, 325-336 (2016); translation from Teor. Veroyatn. Primen. 60, No. 2, 391-402 (2015). MSC: 60B11 60E10 PDF BibTeX XML Cite \textit{V. V. Ulyanov}, Theory Probab. Appl. 60, No. 2, 325--336 (2016; Zbl 1381.60015); translation from Teor. Veroyatn. Primen. 60, No. 2, 391--402 (2015) Full Text: DOI arXiv OpenURL
Guo, Mingle; Li, Qian Moment complete convergence for arrays of row-wise independent random elements in Banach spaces. (Chinese. English summary) Zbl 1240.60064 J. Math., Wuhan Univ. 31, No. 3, 457-462 (2011). MSC: 60F15 60B11 PDF BibTeX XML Cite \textit{M. Guo} and \textit{Q. Li}, J. Math., Wuhan Univ. 31, No. 3, 457--462 (2011; Zbl 1240.60064) OpenURL
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 OpenURL
Ordóñez Cabrera, Manuel; Volodin, Andrei On Cantrell-Rosalsky’s strong laws of large numbers. (English) Zbl 1175.60010 Stat. Probab. Lett. 79, No. 6, 842-847 (2009). Reviewer: Ludwig Paditz (Dresden) MSC: 60B12 60F15 60B11 60D05 PDF BibTeX XML Cite \textit{M. Ordóñez Cabrera} and \textit{A. Volodin}, Stat. Probab. Lett. 79, No. 6, 842--847 (2009; Zbl 1175.60010) Full Text: DOI OpenURL
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 OpenURL
Rosalsky, Andrew; Le Van Thanh; Volodin, Andrei I. On complete convergence in mean of normed sums of independent random elements in Banach spaces. (English) Zbl 1087.60009 Stochastic Anal. Appl. 24, No. 1, 23-35 (2006). Reviewer: Anatolij M. Plichko (Krakow) MSC: 60B11 60B12 60F15 60F25 PDF BibTeX XML Cite \textit{A. Rosalsky} et al., Stochastic Anal. Appl. 24, No. 1, 23--35 (2006; Zbl 1087.60009) Full Text: DOI OpenURL
Franz, Carsten Asymptotical properties of a new class of nonparametric two-sample tests. (Asymptotische Eigenschaften einer neuen Klasse von nichtparametrischen Zwei-Stichproben-Tests.) (German. English summary) Zbl 1275.62022 Hannover: Univ. Hannover, Fachbereich Mathematik (Diss.). 163 p. (2004). MSC: 62-02 62G20 62H15 62G10 62G09 62D05 PDF BibTeX XML Cite \textit{C. Franz}, Asymptotische Eigenschaften einer neuen Klasse von nichtparametrischen Zwei-Stichproben-Tests. Hannover: Univ. Hannover, Fachbereich Mathematik (Diss.) (2004; Zbl 1275.62022) Full Text: Link OpenURL
Rosalsky, Andrew; Taylor, Robert L. Some strong and weak limit theorems for weighted sums of i.i.d. Banach space valued random elements with slowly varying weights. (English) Zbl 1158.60305 Stochastic Anal. Appl. 22, No. 4, 1111-1120 (2004). MSC: 60B12 60B11 PDF BibTeX XML Cite \textit{A. Rosalsky} and \textit{R. L. Taylor}, Stochastic Anal. Appl. 22, No. 4, 1111--1120 (2004; Zbl 1158.60305) Full Text: DOI OpenURL
Hu, T.-C.; Ordóñez Cabrera, M.; Sung, S. H.; Volodin, A. I. Complete convergence of weighted sums in Banach spaces and the bootstrap mean. (English) Zbl 1003.60006 Lobachevskii J. Math. 10, 17-26 (2002). Reviewer: Alfredas J.Rachkauskas (Vilnius) MSC: 60B12 62G05 60B11 62E20 PDF BibTeX XML Cite \textit{T. C. Hu} et al., Lobachevskii J. Math. 10, 17--26 (2002; Zbl 1003.60006) Full Text: EuDML EMIS OpenURL
Brannath, W.; Schachermayer, W. A bipolar theorem for \(L_+^0(\Omega,{\mathcal F},\mathbb{P})\). (English) Zbl 0957.46020 Azéma, Jacques (ed.) et al., Séminaire de probabilités XXXIII. Berlin: Springer. Lect. Notes Math. 1709, 349-354 (1999). Reviewer: A.Schied (Berlin) MSC: 46E30 46A16 46A55 91B70 52A05 46A20 PDF BibTeX XML Cite \textit{W. Brannath} and \textit{W. Schachermayer}, Lect. Notes Math. 1709, 349--354 (1999; Zbl 0957.46020) Full Text: Numdam EuDML OpenURL
Chuprunov, A. N. Spaces of Banach-valued random elements isomorphic to sequence spaces and their applications. I. (English. Russian original) Zbl 0802.60005 Russ. Math. 36, No. 12, 59-66 (1992); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 12 (367), 59-66 (1992). MSC: 60B12 60B11 PDF BibTeX XML Cite \textit{A. N. Chuprunov}, Russ. Math. 36, No. 12, 59--66 (1992; Zbl 0802.60005); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 12 (367), 59--66 (1992) OpenURL
Volodin, A. I. On \(B_ \varphi\)-convex spaces. (English. Russian original) Zbl 0807.46019 Russ. Math. 36, No. 4, 1-10 (1992); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 4(359), 3-12 (1992). MSC: 46B20 60F15 PDF BibTeX XML Cite \textit{A. I. Volodin}, Russ. Math. 36, No. 4, 1--10 (1992; Zbl 0807.46019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 4(359), 3--12 (1992) OpenURL
Ustunel, A. S.; Zakai, M. On the structure of independence on Wiener space. (English) Zbl 0753.60008 J. Funct. Anal. 90, No. 1, 113-137 (1990). Reviewer: A.J.Rachkauskas (Vilnius) MSC: 60B11 28C20 PDF BibTeX XML Cite \textit{A. S. Ustunel} and \textit{M. Zakai}, J. Funct. Anal. 90, No. 1, 113--137 (1990; Zbl 0753.60008) Full Text: DOI OpenURL
Adler, Andre; Rosalsky, Andrew; Taylor, Robert L. Strong laws of large numbers for weighted sums of random elements in normed linear spaces. (English) Zbl 0679.60009 Int. J. Math. Math. Sci. 12, No. 3, 507-529 (1989). Reviewer: A.Dale MSC: 60B12 60F15 60B11 PDF BibTeX XML Cite \textit{A. Adler} et al., Int. J. Math. Math. Sci. 12, No. 3, 507--529 (1989; Zbl 0679.60009) Full Text: DOI EuDML OpenURL
Cabrera, M. Ordóñez Limit theorems for randomly weighted sums of random elements in normed linear spaces. (English) Zbl 0642.60002 J. Multivariate Anal. 25, No. 1, 139-145 (1988). MSC: 60B12 60F05 PDF BibTeX XML Cite \textit{M. O. Cabrera}, J. Multivariate Anal. 25, No. 1, 139--145 (1988; Zbl 0642.60002) Full Text: DOI OpenURL
Li, Zezhi Taylor’s conjecture on the space of convergent sequences of complex numbers. (Chinese. English summary) Zbl 0663.60004 J. Xiamen Univ., Nat. Sci. 26, No. 5, 513-516 (1987). MSC: 60B05 60B12 PDF BibTeX XML Cite \textit{Z. Li}, J. Xiamen Univ., Nat. Sci. 26, No. 5, 513--516 (1987; Zbl 0663.60004) OpenURL
Krée, Paul; Soize, Christian Mathematics of random phenomena. Random vibrations of mechanical structures. (English) Zbl 0628.73099 Mathematics and Its Applications, 32. Dordrecht etc.: D. Reidel Publishing Company, a member of the Kluwer Academic Publishers Groups. XV, 438 p. Dfl. 210.00; $ 98.00; £69.75 (1986). Reviewer: J.Stoyanov MSC: 74H50 60G07 74-02 60G20 60H10 93E03 PDF BibTeX XML OpenURL
Kawabe, Jun Probabilistic characterization of certain Banach spaces. (English) Zbl 0595.46020 Kodai Math. J. 9, 68-76 (1986). MSC: 46B20 47B10 60B12 46G12 PDF BibTeX XML Cite \textit{J. Kawabe}, Kodai Math. J. 9, 68--76 (1986; Zbl 0595.46020) Full Text: DOI OpenURL
Chobanyan, S. A.; Vakhaniya, N. N. The linear prediction and approximation of weak second order random elements. (English) Zbl 0522.60006 Prediction theory and harmonic analysis Pesi Masani Vol., 37-60 (1983). MSC: 60B11 60G25 60G15 62M20 41A65 PDF BibTeX XML OpenURL
Daffer, Peter Z. On compact convex subsets of D[0,1]. (English) Zbl 0484.46028 Rocky Mt. J. Math. 11, 501-510 (1981). MSC: 46E15 46E99 46B03 46A55 60B12 PDF BibTeX XML Cite \textit{P. Z. Daffer}, Rocky Mt. J. Math. 11, 501--510 (1981; Zbl 0484.46028) Full Text: DOI OpenURL
Buldygin, V. V. Random elements and their convergence in topological spaces. (English) Zbl 0479.60018 Theory Probab. Appl. 26, 85-96 (1981). MSC: 60B11 PDF BibTeX XML Cite \textit{V. V. Buldygin}, Theory Probab. Appl. 26, 85--96 (1981; Zbl 0479.60018) Full Text: DOI OpenURL
Buldygin, V. V. Random elements and their convergence in topological spaces. (Russian) Zbl 0465.60015 Teor. Veroyatn. Primen. 26, 88-100 (1981). MSC: 60B11 PDF BibTeX XML Cite \textit{V. V. Buldygin}, Teor. Veroyatn. Primen. 26, 88--100 (1981; Zbl 0465.60015) OpenURL
Taylor, Robert L. Stochastic convergence of weighted sums of random elements in linear spaces. (English) Zbl 0443.60004 Lecture Notes in Mathematics. 672. Berlin-Heidelberg-New York: Springer-Verlag. VII, 216 p. DM 25.00; $ 14.70 (1978). MSC: 60B05 60F15 PDF BibTeX XML Full Text: DOI OpenURL