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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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, 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
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
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
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)
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)
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)
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 PDFBibTeX XMLCite \textit{A. Adler} et al., Bull. Inst. Math., Acad. Sin. 27, No. 3, 187--212 (1999; Zbl 0980.60011)
Hu, Tien-Chung; Rosalsky, Andrew; Szynal, Dominik; Volodin, Andrej I. On complete convergence for arrays of rowwise independent random elements in Banach spaces. (English) Zbl 0940.60032 Stochastic Anal. Appl. 17, No. 6, 963-992 (1999). Reviewer: A.Gut (Uppsala) MSC: 60F15 60G50 60B12 PDFBibTeX XMLCite \textit{T.-C. Hu} et al., Stochastic Anal. Appl. 17, No. 6, 963--992 (1999; Zbl 0940.60032) Full Text: DOI
Rosalsky, Andrew; Rosenblatt, Joseph On the rate of convergence of series of Banach space valued random elements. (English) Zbl 0893.60002 Nonlinear Anal., Theory Methods Appl. 30, No. 7, 4237-4248 (1997). Reviewer: A.I.Volodin (Kazan’) MSC: 60B12 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{J. Rosenblatt}, Nonlinear Anal., Theory Methods Appl. 30, No. 7, 4237--4248 (1997; Zbl 0893.60002) 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 PDFBibTeX XMLCite \textit{A. Adler} et al., J. Theor. Probab. 10, No. 3, 605--623 (1997; Zbl 0884.60007) Full Text: DOI
Nam, Eunwoo; Rosalsky, Andrew On the convergence rate of series of independent random variables. (English) Zbl 0882.60026 Brunner, E. (ed.) et al., Research developments in probability and statistics. Festschrift in honor of Madan L. Puri on the occasion of his 65th birthday. Utrecht: VSP. 33-44 (1996). MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{E. Nam} and \textit{A. Rosalsky}, in: Research developments in probability and statistics. Festschrift in honor of Madan L. Puri on the occasion of his 65th birthday. Utrecht: VSP. 33--44 (1996; Zbl 0882.60026)
Rosalsky, Andrew On the limiting behavior of a random walk. (English) Zbl 0786.60097 Bull., Calcutta Stat. Assoc. 43, No. 169-170, 1-11 (1993). MSC: 60G50 60F05 PDFBibTeX XMLCite \textit{A. Rosalsky}, Bull., Calcutta Stat. Assoc. 43, No. 169--170, 1--11 (1993; Zbl 0786.60097) Full Text: DOI
Adler, André; Rosalsky, Andrew On the weak law of large numbers for normed weighted sums of i.i.d. random variables. (English) Zbl 0727.60022 Int. J. Math. Math. Sci. 14, No. 1, 191-202 (1991). Reviewer: A.M.Zapała (Lublin) MSC: 60F05 60F15 60G50 PDFBibTeX XMLCite \textit{A. Adler} and \textit{A. Rosalsky}, Int. J. Math. Math. Sci. 14, No. 1, 191--202 (1991; Zbl 0727.60022) Full Text: DOI EuDML
Rosalsky, Andrew A strong law for a set-indexed partial sum process with applications to exchangeable and stationary sequences. (English) Zbl 0634.60026 Stochastic Processes Appl. 26, 277-287 (1987). Reviewer: A.D.Barbour MSC: 60F15 60G09 60G10 PDFBibTeX XMLCite \textit{A. Rosalsky}, Stochastic Processes Appl. 26, 277--287 (1987; Zbl 0634.60026) Full Text: DOI
Adler, André; Rosalsky, Andrew Some general strong laws for weighted sums of stochastically dominated random variables. (English) Zbl 0617.60028 Stochastic Anal. Appl. 5, 1-16 (1987). Reviewer: H.Takahata MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{A. Adler} and \textit{A. Rosalsky}, Stochastic Anal. Appl. 5, 1--16 (1987; Zbl 0617.60028) Full Text: DOI
Rosalsky, Andrew Almost certain limiting behavior of the tail series of independent summands. (English) Zbl 0517.60032 Bull. Inst. Math., Acad. Sin. 11, 185-208 (1983). MSC: 60F15 60G50 11K06 PDFBibTeX XMLCite \textit{A. Rosalsky}, Bull. Inst. Math., Acad. Sin. 11, 185--208 (1983; Zbl 0517.60032)
Rosalsky, Andrew On the growth of a random walk centered at a median. (English) Zbl 0507.60061 Sankhyā, Ser. A 43, 111-115 (1981). MSC: 60G50 PDFBibTeX XMLCite \textit{A. Rosalsky}, Sankhyā, Ser. A 43, 111--115 (1981; Zbl 0507.60061)
Rosalsky, Andrew; Teicher, Henry A limit theorem for double arrays. (English) Zbl 0479.60034 Ann. Probab. 9, 460-467 (1981). MSC: 60F05 60F15 PDFBibTeX XMLCite \textit{A. Rosalsky} and \textit{H. Teicher}, Ann. Probab. 9, 460--467 (1981; Zbl 0479.60034) Full Text: DOI
Rosalsky, Andrew A generalization of the iterated logarithm law for weighted sums with infinite variance. (English) Zbl 0458.60021 Z. Wahrscheinlichkeitstheor. Verw. Geb. 58, 351-372 (1981). MSC: 60F15 60G50 PDFBibTeX XMLCite \textit{A. Rosalsky}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 58, 351--372 (1981; Zbl 0458.60021) Full Text: DOI