Wu, Yongfeng; Deng, Xin Complete moment convergence for arrays of rowwise independent random elements in Rademacher type \(p\) Banach spaces. (English) Zbl 07878702 J. Math. Inequal. 18, No. 1, 253-269 (2024). Reviewer: Italo Simonelli (Durham) MSC: 60F15 60B12 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Deli; Presnell, Brett; Rosalsky, Andrew Some degenerate mean convergence theorems for Banach space valued random elements. (English) Zbl 1489.60051 J. Math. Inequal. 16, No. 1, 117-126 (2022). MSC: 60F25 60B11 60B12 × Cite Format Result Cite Review PDF Full Text: DOI
Parker, Robert; Rosalsky, Andrew On almost certain convergence of double series of random elements and the rate of convergence of tail series. (English) Zbl 1495.60013 Stochastics 93, No. 2, 252-278 (2021). Reviewer: Carlo Sempi (Lecce) MSC: 60F15 60F05 60B11 60B12 × Cite Format Result Cite Review PDF Full Text: DOI
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 1469.60092 Stochastic Anal. Appl. 39, No. 1, 177-193 (2021). MSC: 60F15 60B12 60B11 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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); correction ibid. 40, No. 4, 764 (2022). MSC: 60F15 60B12 60B11 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Tien, Nguyen Duy; Van Dung, Le Convergence of double series of random elements in Banach spaces. (English) Zbl 1251.60024 J. Korean Math. Soc. 49, No. 5, 1053-1064 (2012). MSC: 60F15 60B12 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Sung, Soo Hak; Volodin, Andrei A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements. (English) Zbl 1217.60007 Stochastic Anal. Appl. 29, No. 2, 282-291 (2011). Reviewer: Anatolij M. Plichko (Krakow) MSC: 60B12 60F05 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Sung, Soo Hak Complete convergence for weighted sums of random elements. (English) Zbl 1188.60015 Bull. Korean Math. Soc. 47, No. 2, 369-383 (2010). MSC: 60F15 60B12 60F05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Van Quang, Nguyen; Thuan, Nguyen Tran On the weak law of large numbers for double adapted arrays of random elements in \(p\)-uniformly smooth Banach space. (English) Zbl 1195.60040 Lobachevskii J. Math. 30, No. 2, 159-167 (2009). Reviewer: Serguey Victorovich Zhulenev (Moskva) MSC: 60F05 60G50 60G42 × Cite Format Result Cite Review PDF Full Text: DOI
Sung, Soo Hak; Urmeneta, Henar; Volodin, Andrei I. On complete convergence for arrays of random elements. (English) Zbl 1141.60003 Stochastic Anal. Appl. 26, No. 3, 595-602 (2008). MSC: 60B12 60F15 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF
Dodson, C. T. J.; Sampson, W. W. Modeling a class of stochastic porous media. (English) Zbl 0894.76083 Appl. Math. Lett. 10, No. 2, 87-89 (1997). Reviewer: R.Stavre (Bucureşti) MSC: 76S05 76M35 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF
Ferger, D. Asymptotic distribution theory of change-point estimators and confidence intervals based on bootstrap approximation. (English) Zbl 0823.62017 Math. Methods Stat. 3, No. 4, 362-378 (1994). MSC: 62E20 62G05 62G20 × Cite Format Result Cite Review PDF
Ferger, Dietmar Change-point estimators in case of small disorders. (English) Zbl 0804.62038 J. Stat. Plann. Inference 40, No. 1, 33-49 (1994). MSC: 62G05 60F17 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
Ferger, Dietmar On the rate of almost sure convergence of Dümbgen’s change-point estimators. (English) Zbl 0795.62028 Stat. Probab. Lett. 19, No. 1, 27-31 (1994). MSC: 62G05 62G20 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Wang, Xiangchen; Bhaskara Rao, M.; Yang, Xiaoyun Convergence rates on strong laws of large numbers for arrays of rowwise independent elements. (English) Zbl 0764.60037 Stochastic Anal. Appl. 11, No. 1, 115-132 (1993). MSC: 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Buldygin, V. V.; Solntsev, S. A. A generalization of the contraction principle in the space of convergent sequences. (English. Russian original) Zbl 0738.60029 Theory Probab. Math. Stat. 43, 35-39 (1991); translation from Teor. Veroyatn. Mat. Stat., Kiev 43, 32-37 (1990). MSC: 60G17 46B25 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI
Daffer, Peter Z. Some strong and weak laws of large numbers for weighted sums in D[0,1]. (English) Zbl 0457.60008 Probability in Banach spaces III, Proc. 3rd int. Conf., Medford/USA 1980, Lect. Notes Math. 860, 100-106 (1981). MSC: 60B12 × Cite Format Result Cite Review PDF