Rosalsky, Andrew; Lê Vǎn Thành; Nguyen Thi Thuy Some mean convergence theorems for the maximum of normed double sums of Banach space valued random elements. (English) Zbl 07904906 Acta Math. Sin., Engl. Ser. 40, No. 7, 1727-1740 (2024). MSC: 60F25 60B11 60B12 PDFBibTeX XMLCite \textit{A. Rosalsky} et al., Acta Math. Sin., Engl. Ser. 40, No. 7, 1727--1740 (2024; Zbl 07904906) Full Text: DOI
Rosalsky, Andrew; Thành, Lê Vǎn Optimal moment conditions for complete convergence for maximal normed weighted sums from arrays of rowwise independent random elements in Banach spaces. (English) Zbl 1517.60036 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 108, 15 p. (2023). MSC: 60F15 60B11 60B12 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{L. V. Thành}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 3, Paper No. 108, 15 p. (2023; Zbl 1517.60036) Full Text: DOI
Al Hayek, Nour; Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Ünver, Mehmet; Volodin, Andrei Some results concerning ideal and classical uniform integrability and mean convergence. (English) Zbl 1505.60008 Collect. Math. 74, No. 1, 1-25 (2023). MSC: 60B11 60F25 PDFBibTeX XMLCite \textit{N. Al Hayek} et al., Collect. Math. 74, No. 1, 1--25 (2023; Zbl 1505.60008) Full Text: DOI
Klass, Michael J.; Li, Deli; Rosalsky, Andrew Divergence criterion for a class of random series related to the partial sums of I.I.D. random variables. (English) Zbl 1497.60038 J. Theor. Probab. 35, No. 3, 1556-1573 (2022). MSC: 60F15 60B12 60G50 PDFBibTeX XMLCite \textit{M. J. Klass} et al., J. Theor. Probab. 35, No. 3, 1556--1573 (2022; Zbl 1497.60038) Full Text: DOI
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei Correction to: “Complete convergence theorems for weighted row sums from arrays of random elements in Rademacher type \(p\) and martingale type \(p\) Banach spaces”. (English) Zbl 1489.60047 Stochastic Anal. Appl. 40, No. 4, 764 (2022). MSC: 60F15 60B12 60B11 PDFBibTeX XMLCite \textit{T.-C. Hu} et al., Stochastic Anal. Appl. 40, No. 4, 764 (2022; Zbl 1489.60047) Full Text: DOI
Chen, Pingyan; Cabrera, Manuel Ordóñez; Rosalsky, Andrew; Volodin, Andrei Some mean convergence theorems for weighted sums of Banach space valued random elements. (English) Zbl 1489.60006 Stochastics 94, No. 4, 559-577 (2022). MSC: 60B12 60F05 60B11 60B05 PDFBibTeX XMLCite \textit{P. Chen} et al., Stochastics 94, No. 4, 559--577 (2022; Zbl 1489.60006) 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 PDFBibTeX XMLCite \textit{D. Li} et al., J. Math. Inequal. 16, No. 1, 117--126 (2022; Zbl 1489.60051) Full Text: DOI
Ordóñez Cabrera, M.; Rosalsky, A.; Ünver, M.; Volodin, A. A new version of uniform integrability via power series summability methods. (English) Zbl 1489.60040 Theory Probab. Appl. 67, No. 1, 89-104 (2022) and Teor. Veroyatn. Primen. 67, No. 1, 115-133 (2022). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60G42 40G10 28A20 PDFBibTeX XMLCite \textit{M. Ordóñez Cabrera} et al., Theory Probab. Appl. 67, No. 1, 89--104 (2022; Zbl 1489.60040) 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 PDFBibTeX XMLCite \textit{R. Parker} and \textit{A. Rosalsky}, Stochastics 93, No. 2, 252--278 (2021; Zbl 1495.60013) Full Text: DOI
Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Ünver, Mehmet; Volodin, Andrei Correction to: “On the concept of \(B\)-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense”. (English) Zbl 1482.60051 Test 30, No. 4, 1076-1077 (2021). MSC: 60F25 40A35 41A36 PDFBibTeX XMLCite \textit{M. Ordóñez Cabrera} et al., Test 30, No. 4, 1076--1077 (2021; Zbl 1482.60051) Full Text: DOI
Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Ünver, Mehmet; Volodin, Andrei On the concept of \(B\)-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense. (English) Zbl 1479.60071 Test 30, No. 1, 83-102 (2021); correction ibid. 30, No. 4, 1076-1077 (2021). MSC: 60F25 40A35 41A36 PDFBibTeX XMLCite \textit{M. Ordóñez Cabrera} et al., Test 30, No. 1, 83--102 (2021; Zbl 1479.60071) Full Text: DOI
Rosalsky, Andrew; Thành, Lê Vǎn A note on the stochastic domination condition and uniform integrability with applications to the strong law of large numbers. (English) Zbl 1489.60034 Stat. Probab. Lett. 178, Article ID 109181, 10 p. (2021). MSC: 60E15 60F15 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{L. V. Thành}, Stat. Probab. Lett. 178, Article ID 109181, 10 p. (2021; Zbl 1489.60034) Full Text: DOI
Li, Deli; Rosalsky, Andrew Two new probability inequalities with limit theorem applications. (English) Zbl 1469.60066 Lobachevskii J. Math. 42, No. 2, 336-341 (2021). MSC: 60E15 60F05 PDFBibTeX XMLCite \textit{D. Li} and \textit{A. Rosalsky}, Lobachevskii J. Math. 42, No. 2, 336--341 (2021; Zbl 1469.60066) 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 PDFBibTeX XMLCite \textit{T.-C. Hu} et al., Stochastic Anal. Appl. 39, No. 1, 177--193 (2021; Zbl 1469.60092) 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 PDFBibTeX XMLCite \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
Li, Deli; Rosalsky, Andrew An improved version of a result of Chandra, Li, and Rosalsky. (English) Zbl 1499.60103 J. Inequal. Appl. 2019, Paper No. 33, 5 p. (2019). MSC: 60F25 60F15 60F05 60B12 60B11 PDFBibTeX XMLCite \textit{D. Li} and \textit{A. Rosalsky}, J. Inequal. Appl. 2019, Paper No. 33, 5 p. (2019; Zbl 1499.60103) Full Text: DOI OA License
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 PDFBibTeX XMLCite \textit{T.-C. Hu} et al., Stochastic Anal. Appl. 37, No. 6, 1092--1106 (2019; Zbl 1423.60057) Full Text: DOI
Chang, Shuhua; Li, Deli; Rosalsky, Andrew Strong laws of large numbers for the sequence of the maximum of partial sums of i.i.d. random variables. (English) Zbl 1484.60036 Probab. Math. Stat. 39, No. 1, 19-38 (2019). Reviewer: Ravi Sreenivasan (Mysore) MSC: 60F15 60G50 60G70 PDFBibTeX XMLCite \textit{S. Chang} et al., Probab. Math. Stat. 39, No. 1, 19--38 (2019; Zbl 1484.60036) 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 PDFBibTeX XMLCite \textit{R. Parker} and \textit{A. Rosalsky}, Acta Math. Sin., Engl. Ser. 35, No. 5, 583--596 (2019; Zbl 1422.60051) Full Text: DOI
Chandra, Tapas Kumar; Rosalsky, Andrew A curious application of the Borel-Cantelli Lemmas, a result of Barndorff-Nielsen, and some open problems. (English) Zbl 1432.60009 Stochastic Anal. Appl. 37, No. 3, 473-479 (2019). MSC: 60A99 60F20 PDFBibTeX XMLCite \textit{T. K. Chandra} and \textit{A. Rosalsky}, Stochastic Anal. Appl. 37, No. 3, 473--479 (2019; Zbl 1432.60009) Full Text: DOI
Li, Deli; Liang, Han-Ying; Rosalsky, Andrew A probability inequality for sums of independent Banach space valued random variables. (English) Zbl 1498.60022 Stochastics 90, No. 2, 214-223 (2018). MSC: 60B11 60E15 60F05 PDFBibTeX XMLCite \textit{D. Li} et al., Stochastics 90, No. 2, 214--223 (2018; Zbl 1498.60022) Full Text: DOI arXiv
Chandra, Tapas K.; Li, Deli; Rosalsky, Andrew Some mean convergence theorems for arrays of rowwise pairwise negative quadrant dependent random variables. (English) Zbl 1498.60114 J. Inequal. Appl. 2018, Paper No. 221, 14 p. (2018). MSC: 60F15 60B12 60B10 60F05 62H20 60F25 PDFBibTeX XMLCite \textit{T. K. Chandra} et al., J. Inequal. Appl. 2018, Paper No. 221, 14 p. (2018; Zbl 1498.60114) Full Text: DOI OA License
Chang, Shuhua; Li, Deli; Qi, Yongcheng; Rosalsky, Andrew A method for estimating the power of moments. (English) Zbl 1497.62060 J. Inequal. Appl. 2018, Paper No. 54, 14 p. (2018). MSC: 62F10 60F15 44A60 PDFBibTeX XMLCite \textit{S. Chang} et al., J. Inequal. Appl. 2018, Paper No. 54, 14 p. (2018; Zbl 1497.62060) Full Text: DOI OA License
Wu, Yi; Wang, Xue Jun; Rosalsky, Andrew Complete moment convergence for arrays of rowwise widely orthant dependent random variables. (English) Zbl 1404.60041 Acta Math. Sin., Engl. Ser. 34, No. 10, 1531-1548 (2018). MSC: 60F15 PDFBibTeX XMLCite \textit{Y. Wu} et al., Acta Math. Sin., Engl. Ser. 34, No. 10, 1531--1548 (2018; Zbl 1404.60041) Full Text: DOI
Li, Deli; Liang, Han-Ying; Rosalsky, Andrew An extension of Feller’s strong law of large numbers. (English) Zbl 1378.60061 Stat. Probab. Lett. 132, 83-90 (2018). MSC: 60F15 60B12 60G50 PDFBibTeX XMLCite \textit{D. Li} et al., Stat. Probab. Lett. 132, 83--90 (2018; Zbl 1378.60061) Full Text: DOI arXiv
Wang, Xuejun; Wu, Yi; Rosalsky, Andrew Complete convergence for arrays of rowwise widely orthant dependent random variables and its applications. (English) Zbl 1394.60021 Stochastics 89, No. 8, 1228-1252 (2017). MSC: 60F15 62G08 62G20 PDFBibTeX XMLCite \textit{X. Wang} et al., Stochastics 89, No. 8, 1228--1252 (2017; Zbl 1394.60021) Full Text: DOI
Chen, Pingyan; Zhang, Mingyang; Rosalsky, Andrew The Davis-Gut law for independent and identically distributed Banach space valued random elements. (English) Zbl 1375.60070 Glas. Mat., III. Ser. 52, No. 2, 351-360 (2017). MSC: 60F15 PDFBibTeX XMLCite \textit{P. Chen} et al., Glas. Mat., III. Ser. 52, No. 2, 351--360 (2017; Zbl 1375.60070) Full Text: DOI Link
Wu, Yongfeng; Rosalsky, Andrew; Volodin, Andrei A correction to “Some mean convergence and complete convergence theorems for sequences of \(m\)-linearly negative quadrant dependent random variables”. (English) Zbl 1424.60042 Appl. Math., Praha 62, No. 2, 209-211 (2017). MSC: 60F15 60F25 PDFBibTeX XMLCite \textit{Y. Wu} et al., Appl. Math., Praha 62, No. 2, 209--211 (2017; Zbl 1424.60042) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{R. Parker} and \textit{A. Rosalsky}, Lobachevskii J. Math. 38, No. 1, 177--191 (2017; Zbl 1386.60018) Full Text: DOI
Li, Deli; Liang, Han-Ying; Rosalsky, Andrew A note on symmetrization procedures for the laws of large numbers. (English) Zbl 1354.60028 Stat. Probab. Lett. 121, 136-142 (2017). MSC: 60F15 60F05 60B12 60G50 PDFBibTeX XMLCite \textit{D. Li} et al., Stat. Probab. Lett. 121, 136--142 (2017; Zbl 1354.60028) Full Text: DOI
Rosalsky, Andrew; Li, Deli A central limit theorem for bootstrap sample sums from non-i.i.d. models. (English) Zbl 1348.60034 J. Stat. Plann. Inference 180, 69-80 (2017). MSC: 60F05 62G09 62G20 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{D. Li}, J. Stat. Plann. Inference 180, 69--80 (2017; Zbl 1348.60034) Full Text: DOI
Hu, Tien-Chung; Wang, Kuo-Lung; Rosalsky, Andrew Erratum to: “Complete convergence theorems for extended negatively dependent random variables”. (English) Zbl 1397.60064 Sankhyā, Ser. A 78, No. 2, 347-348 (2016). MSC: 60F15 PDFBibTeX XMLCite \textit{T.-C. Hu} et al., Sankhyā, Ser. A 78, No. 2, 347--348 (2016; Zbl 1397.60064) Full Text: DOI
Chandra, Tapas K.; Hu, Tien-Chung; Rosalsky, Andrew On uniform nonintegrability for a sequence of random variables. (English) Zbl 1342.60081 Stat. Probab. Lett. 116, 27-37 (2016). MSC: 60G99 60F25 28A25 PDFBibTeX XMLCite \textit{T. K. Chandra} et al., Stat. Probab. Lett. 116, 27--37 (2016; Zbl 1342.60081) Full Text: DOI
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew A characterization of a new type of strong law of large numbers. (English) Zbl 1335.60041 Trans. Am. Math. Soc. 368, No. 1, 539-561 (2016). Reviewer: Zdzisław Rychlik (Lublin) MSC: 60F15 60B12 60G50 60G60 PDFBibTeX XMLCite \textit{D. Li} et al., Trans. Am. Math. Soc. 368, No. 1, 539--561 (2016; Zbl 1335.60041) Full Text: DOI arXiv
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew An extension of theorems of Hechner and Heinkel. (English) Zbl 1368.60034 Dawson, Donald (ed.) et al., Asymptotic laws and methods in stochastics. A volume in honour of Miklós Csörgő on the occasion of his 80th birthday. Proceedings of the international symposium on asymptotic methods in stochastics, Ottawa, Canada, July 3–6, 2012. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-3075-3/hbk; 978-1-4939-3076-0/ebook). Fields Institute Communications 76, 129-147 (2015). MSC: 60F15 60B11 PDFBibTeX XMLCite \textit{D. Li} et al., Fields Inst. Commun. 76, 129--147 (2015; Zbl 1368.60034) Full Text: DOI
Rosalsky, Andrew; Wu, Yongfeng Complete convergence theorems for normed row sums from an array of rowwise pairwise negative quadrant dependent random variables with application to the dependent bootstrap. (English) Zbl 1363.60038 Appl. Math., Praha 60, No. 3, 251-263 (2015). MSC: 60F15 62F40 62G09 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{Y. Wu}, Appl. Math., Praha 60, No. 3, 251--263 (2015; Zbl 1363.60038) Full Text: DOI Link
Wu, Yongfeng; Rosalsky, Andrew Strong convergence for \(m\)-pairwise negatively quadrant dependent random variables. (English) Zbl 1323.60053 Glas. Mat., III. Ser. 50, No. 1, 245-259 (2015). Reviewer: Michael Voit (Dortmund) MSC: 60F15 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{A. Rosalsky}, Glas. Mat., III. Ser. 50, No. 1, 245--259 (2015; Zbl 1323.60053) Full Text: DOI Link
Hu, Tien-Chung; Wang, Kuo-Lung; Rosalsky, Andrew Complete convergence theorems for extended negatively dependent random variables. (English) Zbl 1317.60027 Sankhyā, Ser. A 77, No. 1, 1-29 (2015); erratum ibid. 78, No. 2, 347-348 (2016). MSC: 60F15 PDFBibTeX XMLCite \textit{T.-C. Hu} et al., Sankhyā, Ser. A 77, No. 1, 1--29 (2015; Zbl 1317.60027) Full Text: DOI
Hu, Tien-Chung; Rosalsky, Andrew A note on random variables with an infinite absolute first moment. (English) Zbl 1314.60071 Stat. Probab. Lett. 97, 212-215 (2015). MSC: 60E99 60F15 PDFBibTeX XMLCite \textit{T.-C. Hu} and \textit{A. Rosalsky}, Stat. Probab. Lett. 97, 212--215 (2015; Zbl 1314.60071) Full Text: DOI
Rosalsky, Andrew; Le Van Thanh; Nguyen Thi Thuy On the laws of large numbers for double arrays of independent random elements in Banach spaces. (English) Zbl 1305.60022 Acta Math. Sin., Engl. Ser. 30, No. 8, 1353-1364 (2014). Reviewer: Pedro A. Morettin (São Paulo) MSC: 60F15 60F05 60B12 PDFBibTeX XMLCite \textit{A. Rosalsky} et al., Acta Math. Sin., Engl. Ser. 30, No. 8, 1353--1364 (2014; Zbl 1305.60022) Full Text: DOI
Rosalsky, Andrew; Volodin, Andrei On almost sure convergence of series of random variables irrespective of their joint distributions. (English) Zbl 1296.60076 Stochastic Anal. Appl. 32, No. 4, 575-590 (2014). MSC: 60F15 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{A. Volodin}, Stochastic Anal. Appl. 32, No. 4, 575--590 (2014; Zbl 1296.60076) Full Text: DOI
Wu, Yongfeng; Rosalsky, Andrew; Volodin, Andrei Some mean convergence and complete convergence theorems for sequences of \(m\)-linearly negative quadrant dependent random variables. (English) Zbl 1299.60047 Appl. Math., Praha 58, No. 5, 511-529 (2013); correction ibid. 62, No. 2, 209-211 (2017). Reviewer: Zuzana Prášková (Praha) MSC: 60F15 60F25 PDFBibTeX XMLCite \textit{Y. Wu} et al., Appl. Math., Praha 58, No. 5, 511--529 (2013; Zbl 1299.60047) Full Text: DOI
Liao, Yuan; Rosalsky, Andrew Some strong laws for normed weighted sums of stochastically dominated independent random elements in Rademacher type \(p\) Banach spaces. (English) Zbl 1294.60006 Commun. Appl. Anal. 17, No. 2, 173-188 (2013). MSC: 60B12 60B11 PDFBibTeX XMLCite \textit{Y. Liao} and \textit{A. Rosalsky}, Commun. Appl. Anal. 17, No. 2, 173--188 (2013; Zbl 1294.60006)
Linero, Antonio; Rosalsky, Andrew On the Toeplitz lemma, convergence in probability, and mean convergence. (English) Zbl 1273.60029 Stochastic Anal. Appl. 31, No. 4, 684-694 (2013). MSC: 60F05 60F25 40A05 60F15 PDFBibTeX XMLCite \textit{A. Linero} and \textit{A. Rosalsky}, Stochastic Anal. Appl. 31, No. 4, 684--694 (2013; Zbl 1273.60029) Full Text: DOI
Liao, Yuan; Rosalsky, Andrew Some strong laws for normed weighted sums of stochastically dominated Banach space valued random elements irrespective of their joint distributions. (English) Zbl 1268.60039 Stochastic Anal. Appl. 31, No. 3, 427-439 (2013). MSC: 60F15 60B12 60B11 PDFBibTeX XMLCite \textit{Y. Liao} and \textit{A. Rosalsky}, Stochastic Anal. Appl. 31, No. 3, 427--439 (2013; Zbl 1268.60039) Full Text: DOI
Li, Deli; Rosalsky, Andrew New versions of some classical stochastic inequalities. (English) Zbl 1275.60009 Stochastic Anal. Appl. 31, No. 1, 62-79 (2013). Reviewer: B. L. S. Prakasa Rao (Hyderabad) MSC: 60B12 60E15 PDFBibTeX XMLCite \textit{D. Li} and \textit{A. Rosalsky}, Stochastic Anal. Appl. 31, No. 1, 62--79 (2013; Zbl 1275.60009) Full Text: DOI
Ordóñez Cabrera, Manuel; Rosalsky, Andrew; Volodin, Andrei Some theorems on conditional mean convergence and conditional almost sure convergence for randomly weighted sums of dependent random variables. (English) Zbl 1318.60036 Test 21, No. 2, 369-385 (2012). MSC: 60F15 60F05 60G99 PDFBibTeX XMLCite \textit{M. Ordóñez Cabrera} et al., Test 21, No. 2, 369--385 (2012; Zbl 1318.60036) Full Text: DOI
Rosalsky, Andrew; Le Van Thanh Some strong laws of large numbers for blockwise martingale difference sequences in martingale type \(p\) Banach spaces. (English) Zbl 1271.60012 Acta Math. Sin., Engl. Ser. 28, No. 7, 1385-1400 (2012). Reviewer: Ludwig Paditz (Dresden) MSC: 60B12 60F15 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{Le Van Thanh}, Acta Math. Sin., Engl. Ser. 28, No. 7, 1385--1400 (2012; Zbl 1271.60012) Full Text: DOI
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew On Jiang’s asymptotic distribution of the largest entry of a sample correlation matrix. (English) Zbl 1275.62037 J. Multivariate Anal. 111, 256-270 (2012). Reviewer: B. L. S. Prakasa Rao (Hyderabad) MSC: 62E20 62H20 PDFBibTeX XMLCite \textit{D. Li} et al., J. Multivariate Anal. 111, 256--270 (2012; Zbl 1275.62037) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{T.-C. Hu} et al., Lobachevskii J. Math. 32, No. 1, 71--87 (2011; Zbl 1256.60013) Full Text: DOI
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew A refinement of the Kolmogorov-Marcinkiewicz-Zygmund strong law of large numbers. (English) Zbl 1233.60017 J. Theor. Probab. 24, No. 4, 1130-1156 (2011). MSC: 60F15 60B12 60G50 PDFBibTeX XMLCite \textit{D. Li} et al., J. Theor. Probab. 24, No. 4, 1130--1156 (2011; Zbl 1233.60017) Full Text: DOI arXiv
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew On the set of limit points of normed sums of geometrically weighted I.I.D. unbounded random variables. II. (English) Zbl 1218.60025 Stochastic Anal. Appl. 29, No. 3, 486-502 (2011). MSC: 60F15 PDFBibTeX XMLCite \textit{D. Li} et al., Stochastic Anal. Appl. 29, No. 3, 486--502 (2011; Zbl 1218.60025) Full Text: DOI
Cantrell, Amy; Rosalsky, Andrew On the relationship between some of the Ordóñez Cabrera-Volodin and the Cantrell-Rosalsky strong laws of large numbers for Banach space valued summands. (English) Zbl 1227.60007 Stochastic Anal. Appl. 29, No. 3, 444-451 (2011). MSC: 60B12 60F15 60B11 PDFBibTeX XMLCite \textit{A. Cantrell} and \textit{A. Rosalsky}, Stochastic Anal. Appl. 29, No. 3, 444--451 (2011; Zbl 1227.60007) Full Text: DOI
Hu, Tien-Chung; Rosalsky, Andrew A note on the de La Vallée Poussin criterion for uniform integrability. (English) Zbl 1205.60008 Stat. Probab. Lett. 81, No. 1, 169-174 (2011). MSC: 60A10 60F05 PDFBibTeX XMLCite \textit{T.-C. Hu} and \textit{A. Rosalsky}, Stat. Probab. Lett. 81, No. 1, 169--174 (2011; Zbl 1205.60008) Full Text: DOI
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew On the set of limit points of normed sums of geometrically weighted i.i.d. unbounded random variables. (English) Zbl 1203.60034 Stochastic Anal. Appl. 28, No. 5, 862-883 (2010). MSC: 60F15 PDFBibTeX XMLCite \textit{D. Li} et al., Stochastic Anal. Appl. 28, No. 5, 862--883 (2010; Zbl 1203.60034) Full Text: DOI
Li, Deli; Liu, Wei-Dong; Rosalsky, Andrew Necessary and sufficient conditions for the asymptotic distribution of the largest entry of a sample correlation matrix. (English) Zbl 1210.62010 Probab. Theory Relat. Fields 148, No. 1-2, 5-35 (2010). Reviewer: Piotr Garbaczewski (Opole) MSC: 62E20 62H20 60F05 60F15 PDFBibTeX XMLCite \textit{D. Li} et al., Probab. Theory Relat. Fields 148, No. 1--2, 5--35 (2010; Zbl 1210.62010) Full Text: DOI
Rosalsky, Andrew; Stoica, George On the strong law of large numbers for identically distributed random variables irrespective of their joint distributions. (English) Zbl 1196.60050 Stat. Probab. Lett. 80, No. 17-18, 1265-1270 (2010). MSC: 60F15 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{G. Stoica}, Stat. Probab. Lett. 80, No. 17--18, 1265--1270 (2010; Zbl 1196.60050) Full Text: DOI
Liang, Han Ying; Li, De Li; Rosalsky, Andrew Complete moment and integral convergence for sums of negatively associated random variables. (English) Zbl 1189.60064 Acta Math. Sin., Engl. Ser. 26, No. 3, 419-432 (2010). Reviewer: Aurel Spătaru (Bucureşti) MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{H. Y. Liang} et al., Acta Math. Sin., Engl. Ser. 26, No. 3, 419--432 (2010; Zbl 1189.60064) Full Text: DOI arXiv
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew On the set of limit points of normed sums of geometrically weighted I.I.D. Bounded random variables. (English) Zbl 1193.60043 Stochastic Anal. Appl. 28, No. 1, 86-102 (2010). Reviewer: Alexander V. Bulinski (Moskva) MSC: 60F15 PDFBibTeX XMLCite \textit{D. Li} et al., Stochastic Anal. Appl. 28, No. 1, 86--102 (2010; Zbl 1193.60043) 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 PDFBibTeX XMLCite \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
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew Iterated logarithm type behavior for weighted sums of i.i.d. random variables. (English) Zbl 1158.60334 Stat. Probab. Lett. 79, No. 5, 643-651 (2009). MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{D. Li} et al., Stat. Probab. Lett. 79, No. 5, 643--651 (2009; Zbl 1158.60334) Full Text: DOI
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei On convergence properties of sums of dependent random variables under second moment and covariance restrictions. (English) Zbl 1283.60049 Stat. Probab. Lett. 78, No. 14, 1999-2005 (2008). MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{T.-C. Hu} et al., Stat. Probab. Lett. 78, No. 14, 1999--2005 (2008; Zbl 1283.60049) Full Text: DOI
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew A supplement to the Einmahl-Li results on two-sided iterated logarithm type behavior for I.I.D. Random variables. (English) Zbl 1151.60321 Stochastic Anal. Appl. 26, No. 5, 1095-1110 (2008). MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{D. Li} et al., Stochastic Anal. Appl. 26, No. 5, 1095--1110 (2008; Zbl 1151.60321) Full Text: DOI
Li, Deli; Liu, Dong; Rosalsky, Andrew On the law of the iterated logarithm for \(L\)-statistics without variance. (English) Zbl 1152.62025 Bull. Inst. Math., Acad. Sin. (N.S.) 3, No. 3, 417-432 (2008). Reviewer: Neville Weber (Sydney) MSC: 62G20 60F15 62G30 PDFBibTeX XMLCite \textit{D. Li} et al., Bull. Inst. Math., Acad. Sin. (N.S.) 3, No. 3, 417--432 (2008; Zbl 1152.62025)
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 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{A. Volodin}, Sankhyā 69, No. 2, 330--343 (2007; Zbl 1192.60015)
Rosalsky, Andrew; Le Van Thanh On the strong law of large numbers for sequences of blockwise independent and blockwise \(p\)-orthogonal random elements in Rademacher type \(p\) Banach spaces. (English) Zbl 1148.60018 Probab. Math. Stat. 27, No. 2, 205-222 (2007). Reviewer: Peter Becker-Kern (Dortmund) MSC: 60F15 60B11 60B12 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{Le Van Thanh}, Probab. Math. Stat. 27, No. 2, 205--222 (2007; Zbl 1148.60018)
Li, Deli; Qi, Yongcheng; Rosalsky, Andrew Some results on one-sided iterated logarithm type behavior. (English) Zbl 1135.60308 Acta Sci. Math. 73, No. 1-2, 367-395 (2007). MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{D. Li} et al., Acta Sci. Math. 73, No. 1--2, 367--395 (2007; Zbl 1135.60308)
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 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{Le Van Thanh}, Stochastic Anal. Appl. 25, No. 4, 895--911 (2007; Zbl 1124.60007) Full Text: DOI
Li, De Li; Rosalsky, Andrew; Volodin, Andrei On the relationship between the Baum-Katz-Spitzer complete convergence theorem and the law of the iterated logarithm. (English) Zbl 1120.60026 Acta Math. Sin., Engl. Ser. 23, No. 4, 599-612 (2007). MSC: 60F15 60B12 60F10 PDFBibTeX XMLCite \textit{D. L. Li} et al., Acta Math. Sin., Engl. Ser. 23, No. 4, 599--612 (2007; Zbl 1120.60026) Full Text: DOI
Li, De Li; Zhang, Fu Xing; Rosalsky, Andrew A supplement to the Baum-Katz-Spitzer complete convergence theorem. (English) Zbl 1131.60002 Acta Math. Sin., Engl. Ser. 23, No. 3, 557-562 (2007). Reviewer: Tadeusz Inglot (Wrocław) MSC: 60B12 60F10 60F15 PDFBibTeX XMLCite \textit{D. L. Li} et al., Acta Math. Sin., Engl. Ser. 23, No. 3, 557--562 (2007; Zbl 1131.60002) Full Text: DOI
Li, Deli; Rosalsky, Andrew A supplement to the Davis–Gut law. (English) Zbl 1123.60018 J. Math. Anal. Appl. 330, No. 2, 1488-1493 (2007). Reviewer: Wiesław Dziubdziela (Kielce) MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{D. Li} and \textit{A. Rosalsky}, J. Math. Anal. Appl. 330, No. 2, 1488--1493 (2007; Zbl 1123.60018) Full Text: DOI
Rosalsky, Andrew On the limiting behavior of tail series. (English) Zbl 1108.60024 J. Stat. Plann. Inference 137, No. 3, 935-944 (2007). MSC: 60F15 PDFBibTeX XMLCite \textit{A. Rosalsky}, J. Stat. Plann. Inference 137, No. 3, 935--944 (2007; Zbl 1108.60024) 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 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{L. Van Thanh}, Stochastic Anal. Appl. 24, No. 6, 1097--1117 (2006; Zbl 1112.60002) Full Text: DOI
Li, Deli; Rosalsky, Andrew; Volodin, Andrei I. On the strong law of large numbers for sequences of pairwise negative quadrant dependent random variables. (English) Zbl 1102.60026 Bull. Inst. Math., Acad. Sin. (N.S.) 1, No. 2, 281-305 (2006). MSC: 60F15 PDFBibTeX XMLCite \textit{D. Li} et al., Bull. Inst. Math., Acad. Sin. (N.S.) 1, No. 2, 281--305 (2006; Zbl 1102.60026)
Li, Deli; Rosalsky, Andrew Some strong limit theorems for the largest entries of sample correlation matrices. (English) Zbl 1098.60034 Ann. Appl. Probab. 16, No. 1, 423-447 (2006). Reviewer: B. L. S. Prakasa Rao (Hyderabad) MSC: 60F15 PDFBibTeX XMLCite \textit{D. Li} and \textit{A. Rosalsky}, Ann. Appl. Probab. 16, No. 1, 423--447 (2006; Zbl 1098.60034) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. Rosalsky} et al., Stochastic Anal. Appl. 24, No. 1, 23--35 (2006; Zbl 1087.60009) Full Text: DOI
Hu, Tien-Chung; Rosalsky, Andrew; Volodin, Andrei I. On the golden ratio, strong law, and first passage problem. (English) Zbl 1098.60033 Math. Sci. 30, No. 2, 77-86 (2005). Reviewer: Peter Becker-Kern (Dortmund) MSC: 60F15 PDFBibTeX XMLCite \textit{T.-C. Hu} et al., Math. Sci. 30, No. 2, 77--86 (2005; Zbl 1098.60033)
Ahmed, S. Ejaz; Li, Deli; Rosalsky, Andrew; Volodin, Andrei On the asymptotic probability for the deviations of dependent bootstrap means from the sample mean. (English) Zbl 1078.60017 Lobachevskii J. Math. 18, 3-20 (2005). MSC: 60F05 60F25 60G42 62F40 PDFBibTeX XMLCite \textit{S. E. Ahmed} et al., Lobachevskii J. Math. 18, 3--20 (2005; Zbl 1078.60017) Full Text: EuDML EMIS
Einmahl, John H. J.; Rosalsky, Andrew General weak laws of large numbers for bootstrap sample means. (English) Zbl 1115.60026 Stochastic Anal. Appl. 23, No. 4, 853-869 (2005). MSC: 60F05 62G09 62G20 PDFBibTeX XMLCite \textit{J. H. J. Einmahl} and \textit{A. Rosalsky}, Stochastic Anal. Appl. 23, No. 4, 853--869 (2005; Zbl 1115.60026) Full Text: DOI
Klesov, Oleg; Rosalsky, Andrew; Volodin, Andrei I. On the almost sure growth rate of sums of lower negatively dependent nonnegative random variables. (English) Zbl 1070.60030 Stat. Probab. Lett. 71, No. 2, 193-202 (2005). MSC: 60F15 PDFBibTeX XMLCite \textit{O. Klesov} et al., Stat. Probab. Lett. 71, No. 2, 193--202 (2005; Zbl 1070.60030) Full Text: DOI
Li, Deli; Nguyen, Bao-Em; Rosalsky, Andrew A supplement to precise asymptotics in the law of the iterated logarithm. (English) Zbl 1061.60027 J. Math. Anal. Appl. 302, No. 1, 84-96 (2005). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60F15 60F10 PDFBibTeX XMLCite \textit{D. Li} et al., J. Math. Anal. Appl. 302, No. 1, 84--96 (2005; Zbl 1061.60027) Full Text: DOI
Li, Deli; Rosalsky, Andrew Precise lim sup behavior of probabilities of large deviations for sums of i.i.d. random variables. (English) Zbl 1082.60017 Int. J. Math. Math. Sci. 2004, No. 65-68, 3565-3576 (2004). Reviewer: Aleksandras Plikusas (Vilnius) MSC: 60F10 60F05 PDFBibTeX XMLCite \textit{D. Li} and \textit{A. Rosalsky}, Int. J. Math. Math. Sci. 2004, No. 65--68, 3565--3576 (2004; Zbl 1082.60017) Full Text: DOI EuDML
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 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{R. L. Taylor}, Stochastic Anal. Appl. 22, No. 4, 1111--1120 (2004; Zbl 1158.60305) Full Text: DOI
Cantrell, Amy; Rosalsky, Andrew A strong law for compactly uniformly integrable sequences of independent random elements in Banach spaces. (English) Zbl 1047.60024 Bull. Inst. Math., Acad. Sin. 32, No. 1, 15-33 (2004). MSC: 60F15 60B12 60B11 PDFBibTeX XMLCite \textit{A. Cantrell} and \textit{A. Rosalsky}, Bull. Inst. Math., Acad. Sin. 32, No. 1, 15--33 (2004; Zbl 1047.60024)
Rosalsky, A.; Volodin, A. I. On the weak limiting behavior of almost surely convergent row sums from infinite arrays of rowwise independent random elements in Banach spaces. (English) Zbl 1056.60004 J. Theor. Probab. 17, No. 2, 327-346 (2004). MSC: 60B12 60F05 60F15 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{A. I. Volodin}, J. Theor. Probab. 17, No. 2, 327--346 (2004; Zbl 1056.60004) Full Text: DOI
Hu, Tien-Chung; Huang, Chiung-Yu; Rosalsky, Andrew On stability of trimmed sums. (English) Zbl 1055.60020 Probab. Math. Stat. 23, No. 1, 153-172 (2003). Reviewer: Erich Häusler (Gießen) MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{T.-C. Hu} et al., Probab. Math. Stat. 23, No. 1, 153--172 (2003; Zbl 1055.60020)
Rosalsky, Andrew; Volodin, Andrei I. On convergence of series of random elements via maximal moment relations with applications to martingale convergence and to convergence of series with \(p\)-orthogonal summands. Correction. (English) Zbl 1056.60005 Georgian Math. J. 10, No. 4, 799-802 (2003). Reviewer: Tadeusz Inglot (Wrocław) MSC: 60B12 60F05 60B11 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{A. I. Volodin}, Georgian Math. J. 10, No. 4, 799--802 (2003; Zbl 1056.60005) Full Text: EuDML
Csörgő, Sándor; Rosalsky, Andrew A survey of limit laws for bootstrapped sums. (English) Zbl 1036.60018 Int. J. Math. Math. Sci. 2003, No. 45, 2835-2861 (2003). Reviewer: Michael Kohlmann (Bonn) MSC: 60F05 60F15 62G09 62G20 PDFBibTeX XMLCite \textit{S. Csörgő} and \textit{A. Rosalsky}, Int. J. Math. Math. Sci. 2003, No. 45, 2835--2861 (2003; Zbl 1036.60018) Full Text: DOI EuDML
Rosalsky, Andrew; Sreehari, M.; Volodin, Andrei I. Mean convergence theorems with or without random indices for randomly weighted sums of random elements in Rademacher type \(p\) Banach spaces. (English) Zbl 1038.60025 Stochastic Anal. Appl. 21, No. 5, 1169-1187 (2003). Reviewer: Hans-Peter Scheffler (Dortmund) MSC: 60F25 60B12 60B11 PDFBibTeX XMLCite \textit{A. Rosalsky} et al., Stochastic Anal. Appl. 21, No. 5, 1169--1187 (2003; Zbl 1038.60025) Full Text: DOI
Cantrell, Amy; Rosalsky, Andrew Some strong laws of large numbers for Banach space valued summands irrespective of their joint distributions. (English) Zbl 1034.60005 Stochastic Anal. Appl. 21, No. 1, 79-95 (2003). Reviewer: Kazimierz Musiał (Wrocław) MSC: 60B12 60F15 PDFBibTeX XMLCite \textit{A. Cantrell} and \textit{A. Rosalsky}, Stochastic Anal. Appl. 21, No. 1, 79--95 (2003; Zbl 1034.60005) Full Text: DOI
Li, Deli; Rosalsky, Andrew Erdös -Rényi-Shepp laws for arrays with application to bootstrapped sample means. (English) Zbl 1128.60306 Pakistan J. Stat. 18, No. 2, 255-263 (2002). MSC: 60F15 60G50 62G09 PDFBibTeX XMLCite \textit{D. Li} and \textit{A. Rosalsky}, Pak. J. Stat. 18, No. 2, 255--263 (2002; Zbl 1128.60306)
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 PDFBibTeX XMLCite \textit{T. C. Hu} et al., Theory Probab. Appl. 47, No. 3, 455--468 (2002; Zbl 1035.60004) Full Text: DOI
Klesov, Oleg; Rosalsky, Andrew A nonclassical law of the iterated logarithm for i. i. d. square integrable random variables. II. (English) Zbl 1011.60011 Stochastic Anal. Appl. 20, No. 4, 839-846 (2002). Reviewer: Vjatscheslav Vasiliev (Tomsk) MSC: 60F15 PDFBibTeX XMLCite \textit{O. Klesov} and \textit{A. Rosalsky}, Stochastic Anal. Appl. 20, No. 4, 839--846 (2002; Zbl 1011.60011) Full Text: DOI
Cantrell, Amy; Rosalsky, Andrew On the strong law of large numbers for sums of independent Banach space valued random elements. (English) Zbl 1011.60012 Stochastic Anal. Appl. 20, No. 4, 731-753 (2002). Reviewer: Vjatscheslav Vasiliev (Tomsk) MSC: 60F15 PDFBibTeX XMLCite \textit{A. Cantrell} and \textit{A. Rosalsky}, Stochastic Anal. Appl. 20, No. 4, 731--753 (2002; Zbl 1011.60012) Full Text: DOI
Li, Deli; Rosalsky, Andrew; Al-Mutairi, Dhaifalla K. A large deviation principle for bootstrapped sample means. (English) Zbl 0997.62039 Proc. Am. Math. Soc. 130, No. 7, 2133-2138 (2002). MSC: 62G20 62G09 60F10 60B12 PDFBibTeX XMLCite \textit{D. Li} et al., Proc. Am. Math. Soc. 130, No. 7, 2133--2138 (2002; Zbl 0997.62039) Full Text: DOI
Rosalsky, Andrew; Sreehari, M. A weak law with random indices for randomly weighted sums of random elements in martingale type \(p\) Banach spaces. (English) Zbl 1042.60501 Nonlinear Anal., Theory Methods Appl. 47, No. 2, 1257-1270 (2001). MSC: 60B12 46N30 60G42 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{M. Sreehari}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 47, No. 2, 1257--1270 (2001; Zbl 1042.60501) Full Text: DOI
Rosalsky, Andrew; Volodin, Andrei I. On convergence of series of random elements via maximal moment relations with applications to martingale convergence and to convergence of series with \(p\)-orthogonal summands. (English) Zbl 1012.60008 Georgian Math. J. 8, No. 2, 377-388 (2001). Reviewer: Tadeusz Inglot (Wrocław) MSC: 60B12 60F05 60B11 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{A. I. Volodin}, Georgian Math. J. 8, No. 2, 377--388 (2001; Zbl 1012.60008) Full Text: EuDML
Ahmed, S. E.; Li, Deli; Rosalsky, Andrew; Volodin, Andrei I. Almost sure lim sup behavior of bootstrapped means with applications to pairwise i. i. d. sequences and stationary ergodic sequences. (English) Zbl 0977.62051 J. Stat. Plann. Inference 98, No. 1-2, 1-14 (2001). MSC: 62G20 60F15 62E20 PDFBibTeX XMLCite \textit{S. E. Ahmed} et al., J. Stat. Plann. Inference 98, No. 1--2, 1--14 (2001; Zbl 0977.62051) Full Text: DOI
Klesov, Oleg; Rosalsky, Andrew A nonclassical law of the iterated logarithm for i. i. d. square integrable random variables. (English) Zbl 0990.60027 Stochastic Anal. Appl. 19, No. 4, 627-641 (2001). Reviewer: Allan Gut (Uppsala) MSC: 60F15 PDFBibTeX XMLCite \textit{O. Klesov} and \textit{A. Rosalsky}, Stochastic Anal. Appl. 19, No. 4, 627--641 (2001; Zbl 0990.60027) Full Text: DOI