Lê Vǎn Thành On a new concept of stochastic domination and the laws of large numbers. (English) Zbl 1518.60024 Test 32, No. 1, 74-106 (2023). MSC: 60E15 60F05 60F15 PDFBibTeX XMLCite \textit{Lê Vǎn Thành}, Test 32, No. 1, 74--106 (2023; Zbl 1518.60024) Full Text: DOI arXiv
Van Dat, Thai; Dzung, Nguyen Chi; Van, Vo Thi Hong On the notions of stochastic domination and uniform integrability in the Cesàro sense with applications to weak laws of large numbers for random fields. (English) Zbl 1519.60030 Lith. Math. J. 63, No. 1, 44-57 (2023). Reviewer: Italo Simonelli (Durham) MSC: 60E15 60F05 PDFBibTeX XMLCite \textit{T. Van Dat} et al., Lith. Math. J. 63, No. 1, 44--57 (2023; Zbl 1519.60030) Full Text: DOI
Soukarieh, Inass; Bouzebda, Salim Renewal type bootstrap for increasing degree \(U\)-process of a Markov chain. (English) Zbl 1521.60036 J. Multivariate Anal. 195, Article ID 105143, 25 p. (2023). MSC: 60J05 60F05 60F15 60K05 62G09 PDFBibTeX XMLCite \textit{I. Soukarieh} and \textit{S. Bouzebda}, J. Multivariate Anal. 195, Article ID 105143, 25 p. (2023; Zbl 1521.60036) Full Text: DOI
Xu, Shoufang; Mei, Changlin; Miao, Yu Limit theorems for ratios of order statistics from uniform distributions. (English) Zbl 1499.60097 J. Inequal. Appl. 2019, Paper No. 303, 14 p. (2019). MSC: 60F15 60F05 60G50 62E20 60F10 PDFBibTeX XMLCite \textit{S. Xu} et al., J. Inequal. Appl. 2019, Paper No. 303, 14 p. (2019; Zbl 1499.60097) Full Text: DOI
Seol, Youngsoo Limit theorems for Hawkes processes with uniform immigrants. (English) Zbl 1423.60082 J. Korean Math. Soc. 56, No. 4, 935-946 (2019). MSC: 60G55 60F05 60F10 PDFBibTeX XMLCite \textit{Y. Seol}, J. Korean Math. Soc. 56, No. 4, 935--946 (2019; Zbl 1423.60082) Full Text: DOI
Kebaier, Ahmed; Lelong, Jérôme Coupling importance sampling and multilevel Monte Carlo using sample average approximation. (English) Zbl 1394.60018 Methodol. Comput. Appl. Probab. 20, No. 2, 611-641 (2018). MSC: 60F05 60H35 62F12 65C05 PDFBibTeX XMLCite \textit{A. Kebaier} and \textit{J. Lelong}, Methodol. Comput. Appl. Probab. 20, No. 2, 611--641 (2018; Zbl 1394.60018) Full Text: DOI arXiv
Meng, Yan-Jiao The \(L_{r}\) convergence and weak laws of large numbers for \(\widetilde{\rho}\)-mixing random variables. (English) Zbl 1374.60052 ANZIAM J. 58, No. 3-4, 455-463 (2017). MSC: 60F15 PDFBibTeX XMLCite \textit{Y.-J. Meng}, ANZIAM J. 58, No. 3--4, 455--463 (2017; Zbl 1374.60052) Full Text: DOI
Bravo, Francesco; Chu, Ba M.; Jacho-Chávez, David T. Semiparametric estimation of moment condition models with weakly dependent data. (English) Zbl 1369.62101 J. Nonparametric Stat. 29, No. 1, 108-136 (2017). MSC: 62G20 62G05 62F12 60F05 PDFBibTeX XMLCite \textit{F. Bravo} et al., J. Nonparametric Stat. 29, No. 1, 108--136 (2017; Zbl 1369.62101) Full Text: DOI Link
Adler, André Laws of large numbers for ratios of uniform random variables. (English) Zbl 1347.60020 Open Math. 13, 571-576 (2015). MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{A. Adler}, Open Math. 13, 571--576 (2015; Zbl 1347.60020) Full Text: DOI
Zähle, Henryk Qualitative robustness of statistical functionals under strong mixing. (English) Zbl 1388.62071 Bernoulli 21, No. 3, 1412-1434 (2015). MSC: 62F35 62G35 60F05 PDFBibTeX XMLCite \textit{H. Zähle}, Bernoulli 21, No. 3, 1412--1434 (2015; Zbl 1388.62071) Full Text: DOI arXiv Euclid
Wang, Xinghui; Hu, Shuhe Weak laws of large numbers for arrays of dependent random variables. (English) Zbl 1337.60028 Stochastics 86, No. 5, 759-775 (2014). MSC: 60F05 60F25 PDFBibTeX XMLCite \textit{X. Wang} and \textit{S. Hu}, Stochastics 86, No. 5, 759--775 (2014; Zbl 1337.60028) Full Text: DOI
Sung, Soo Hak Convergence in \(r\)-mean of weighted sums of NQD random variables. (English) Zbl 1256.60016 Appl. Math. Lett. 26, No. 1, 18-24 (2013). MSC: 60F25 60F05 PDFBibTeX XMLCite \textit{S. H. Sung}, Appl. Math. Lett. 26, No. 1, 18--24 (2013; Zbl 1256.60016) Full Text: DOI
Wu, Yongfeng; Guan, Mei Convergence properties of the partial sums for sequences of end random variables. (English) Zbl 1264.60023 J. Korean Math. Soc. 49, No. 6, 1097-1110 (2012). MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{M. Guan}, J. Korean Math. Soc. 49, No. 6, 1097--1110 (2012; Zbl 1264.60023) Full Text: DOI Link
Tyurin, I. S. Uniform laws of averages for sequences of dependent random elements. (English. Russian original) Zbl 1226.60046 Theory Probab. Appl. 54, No. 4, 725-732 (2010); translation from Teor. Veroyatn. Primen. 54, No. 4, 801-809 (2009). MSC: 60F15 PDFBibTeX XMLCite \textit{I. S. Tyurin}, Theory Probab. Appl. 54, No. 4, 725--732 (2010; Zbl 1226.60046); translation from Teor. Veroyatn. Primen. 54, No. 4, 801--809 (2009) Full Text: DOI
Wu, Shao-Feng Law of large numbers for AQSI random sequences. (English) Zbl 1208.60023 Adv. Appl. Math. Sci. 5, No. 1, 101-106 (2010). MSC: 60F05 PDFBibTeX XMLCite \textit{S.-F. Wu}, Adv. Appl. Math. Sci. 5, No. 1, 101--106 (2010; Zbl 1208.60023)
Jenish, Nazgul; Prucha, Ingmar R. Central limit theorems and uniform laws of large numbers for arrays of random fields. (English) Zbl 1429.60030 J. Econom. 150, No. 1, 86-98 (2009). MSC: 60F05 60F15 60G60 62P20 62M30 62M40 PDFBibTeX XMLCite \textit{N. Jenish} and \textit{I. R. Prucha}, J. Econom. 150, No. 1, 86--98 (2009; Zbl 1429.60030) Full Text: DOI Link
Cavazos-Cadena, Rolando; Hernández-Hernández, Daniel A central limit theorem for normalized products of random matrices. (English) Zbl 1174.60003 Period. Math. Hung. 56, No. 2, 183-211 (2008). Reviewer: Ludwig Paditz (Dresden) MSC: 60F05 60B10 60B05 PDFBibTeX XMLCite \textit{R. Cavazos-Cadena} and \textit{D. Hernández-Hernández}, Period. Math. Hung. 56, No. 2, 183--211 (2008; Zbl 1174.60003) Full Text: DOI
Chandra, T. K.; Goswami, A. Cesàro \(\alpha\)-integrability and laws of large numbers. II. (English) Zbl 1111.60018 J. Theor. Probab. 19, No. 4, 789-816 (2006). Reviewer: George Stoica (Saint John) MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{T. K. Chandra} and \textit{A. Goswami}, J. Theor. Probab. 19, No. 4, 789--816 (2006; Zbl 1111.60018) Full Text: DOI
Bae, Jongsig; Kim, Sungyeun Uniform asymptotics in the empirical mean residual life process. (English) Zbl 1115.62108 J. Korean Math. Soc. 43, No. 2, 225-239 (2006). MSC: 62N05 60F17 60G35 60F15 60F05 60F99 PDFBibTeX XMLCite \textit{J. Bae} and \textit{S. Kim}, J. Korean Math. Soc. 43, No. 2, 225--239 (2006; Zbl 1115.62108) Full Text: DOI
Sung, Soo Hak Weak laws for weighted sums of random variables. (English) Zbl 1053.60018 Bull. Korean Math. Soc. 41, No. 2, 275-282 (2004). MSC: 60F05 60F25 PDFBibTeX XMLCite \textit{S. H. Sung}, Bull. Korean Math. Soc. 41, No. 2, 275--282 (2004; Zbl 1053.60018) Full Text: DOI
Najim, Christopher A.; Russo, Ralph P. On the number of subgraphs of a specified form embedded in a random graph. (English) Zbl 1029.05139 Methodol. Comput. Appl. Probab. 5, No. 1, 23-33 (2003). Reviewer: D.V.Chopra (Wichita) MSC: 05C80 60F05 60F15 60D05 PDFBibTeX XMLCite \textit{C. A. Najim} and \textit{R. P. Russo}, Methodol. Comput. Appl. Probab. 5, No. 1, 23--33 (2003; Zbl 1029.05139) Full Text: DOI
Peligrad, Magda Some remarks on coupling of dependent random variables. (English) Zbl 1020.60022 Stat. Probab. Lett. 60, No. 2, 201-209 (2002). Reviewer: Ulrich Horst (Berlin) MSC: 60G07 60F05 PDFBibTeX XMLCite \textit{M. Peligrad}, Stat. Probab. Lett. 60, No. 2, 201--209 (2002; Zbl 1020.60022) Full Text: DOI
Peligrad, Magda A note on the uniform laws for dependent processes via coupling. (English) Zbl 0991.60022 J. Theor. Probab. 14, No. 4, 979-988 (2001). Reviewer: Herold Dehling (Bochum) MSC: 60F15 PDFBibTeX XMLCite \textit{M. Peligrad}, J. Theor. Probab. 14, No. 4, 979--988 (2001; Zbl 0991.60022) Full Text: DOI
Heilig, Charles; Nolan, Deborah Limit theorems for the infinite-degree \(U\)-process. (English) Zbl 1057.62518 Stat. Sin. 11, No. 1, 289-302 (2001). MSC: 62G99 60F17 62E20 PDFBibTeX XMLCite \textit{C. Heilig} and \textit{D. Nolan}, Stat. Sin. 11, No. 1, 289--302 (2001; Zbl 1057.62518)
Gan, Shixin; Zhang, Feng; Ye, Chen The convergence and the law of large numbers for weighted sums of martingale difference series in Banach spaces. (Chinese. English summary) Zbl 0973.60009 J. Wuhan Univ., Nat. Sci. Ed. 46, No. 3, 266-268 (2000). MSC: 60B12 60G42 60F05 60F25 PDFBibTeX XMLCite \textit{S. Gan} et al., J. Wuhan Univ., Nat. Sci. Ed. 46, No. 3, 266--268 (2000; Zbl 0973.60009)
Hu, Tien-Chung; Nam, Eunwoo; Rosalsky, Andrew; Volodin, Andrei I. An application of the Ryll-Nardzewski-Woyczyński theorem to a uniform weak law for tail series of weighted sums of random elements in Banach spaces. (English) Zbl 0959.60016 Stat. Probab. Lett. 48, No. 4, 369-374 (2000). MSC: 60F05 60B12 PDFBibTeX XMLCite \textit{T.-C. Hu} et al., Stat. Probab. Lett. 48, No. 4, 369--374 (2000; Zbl 0959.60016) Full Text: DOI
Chen, Pingyan; Liu, Jingjun; Gan, Shixin Convergence for \(B\) valued random fields and the type of a Banach space. (Chinese. English summary) Zbl 0922.60027 J. Wuhan Univ., Nat. Sci. Ed. 44, No. 1, 11-14 (1998). MSC: 60F05 46B09 PDFBibTeX XMLCite \textit{P. Chen} et al., J. Wuhan Univ., Nat. Sci. Ed. 44, No. 1, 11--14 (1998; Zbl 0922.60027)
Lesgine, Emmanuel Law of large numbers for multidimensional Riesz-Raikov sums. (Loi des grands nombres pour des sommes de Riesz-Raikov multidimensionnelles.) (French) Zbl 0894.11031 Compos. Math. 110, No. 1, 39-49 (1998). Reviewer: L.Heinrich (Augsburg) MSC: 11K06 60F05 60F15 PDFBibTeX XMLCite \textit{E. Lesgine}, Compos. Math. 110, No. 1, 39--49 (1998; Zbl 0894.11031) Full Text: DOI
Landers, Dieter; Rogge, Lothar Laws of large numbers for uncorrelated Cesàro uniformly integrable random variables. (English) Zbl 0953.60010 Sankhyā, Ser. A 59, No. 3, 301-310 (1997). Reviewer: B.Le Gac (Marseille) MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{D. Landers} and \textit{L. Rogge}, Sankhyā, Ser. A 59, No. 3, 301--310 (1997; Zbl 0953.60010)
Hong, Dug Hun; Lee, Sungho A general weak law of large numbers for arrays. (English) Zbl 0864.60020 Bull. Inst. Math., Acad. Sin. 24, No. 3, 205-209 (1996). Reviewer: D.H.Hong (Kyongbuk) MSC: 60F05 60G42 PDFBibTeX XMLCite \textit{D. H. Hong} and \textit{S. Lee}, Bull. Inst. Math., Acad. Sin. 24, No. 3, 205--209 (1996; Zbl 0864.60020)
Peškir, Goran; Weber, Michel The uniform ergodic theorem for dynamical systems. (English) Zbl 0858.28010 Bergelson, V. (ed.) et al., Convergence in ergodic theory and probability. Papers from the conference, Ohio State University, Columbus, OH, USA, June 23–26, 1993. Berlin: de Gruyter. Ohio State Univ. Math. Res. Inst. Publ. 5, 305-332 (1996). MSC: 28D05 47A35 60F05 PDFBibTeX XMLCite \textit{G. Peškir} and \textit{M. Weber}, Ohio State Univ. Math. Res. Inst. Publ. 5, 305--332 (1996; Zbl 0858.28010)
Bozorgnia, A.; Patterson, R. F.; Taylor, R. L. Weak laws of large numbers for negatively dependent random variables in Banach spaces. (English) Zbl 0883.60009 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. 11-22 (1996). Reviewer: A.I.Volodin (Kazan’) MSC: 60B12 PDFBibTeX XMLCite \textit{A. Bozorgnia} et al., in: Research developments in probability and statistics. Festschrift in honor of Madan L. Puri on the occasion of his 65th birthday. Utrecht: VSP. 11--22 (1996; Zbl 0883.60009)
Gan, Shixin \(L^ r\) convergence and weak laws of large numbers for weighted sums of arrays of Banach valued random variables. (Chinese. English summary) Zbl 0846.60007 J. Wuhan Univ., Nat. Sci. Ed. 41, No. 5, 533-540 (1995). MSC: 60B12 60F05 PDFBibTeX XMLCite \textit{S. Gan}, J. Wuhan Univ., Nat. Sci. Ed. 41, No. 5, 533--540 (1995; Zbl 0846.60007)
Gaenssler, P.; Ziegler, K. On function-indexed partial-sum processes. (English) Zbl 0848.60038 Grigelionis, B. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the sixth Vilnius conference, Vilnius, Lithuania, June 28 - July 3, 1993. Utrecht: VSP. 285-311 (1994). Reviewer: J.Steinebach (Marburg) MSC: 60F17 60G15 60F05 PDFBibTeX XMLCite \textit{P. Gaenssler} and \textit{K. Ziegler}, in: Probability theory and mathematical statistics. Proceedings of the sixth Vilnius conference, Vilnius, Lithuania, June 28 - July 3, 1993. Utrecht: VSP; Vilnius: TEV. 285--311 (1994; Zbl 0848.60038)
Peškir, Goran; Weber, Michel Necessary and sufficient conditions for the uniform law of large numbers in the stationary case. (English) Zbl 0823.60024 Butković, D. (ed.) et al., Functional analysis IV. Proceedings of the postgraduate school and conference held at the Inter-University Center, Dubrovnik, Croatia, November 10-17, 1993. Aarhus: Aarhus University, Mat. Institut, Var. Publ. Ser., Aarhus Univ. 43, 165-190 (1994). MSC: 60F15 60B12 60G10 60F17 60F05 28D05 28A20 PDFBibTeX XMLCite \textit{G. Peškir} and \textit{M. Weber}, Var. Publ. Ser., Aarhus Univ. 43, 165--190 (1994; Zbl 0823.60024)
Gan, Shixin \(L^ r\) convergence of weighted sums of Banach space valued martingale difference arrays and the weak law of large numbers. (Chinese. English summary) Zbl 0801.60026 J. Wuhan Univ., Nat. Sci. Ed. 1994, No. 1, 1-8 (1994). MSC: 60F25 60B12 60G42 PDFBibTeX XMLCite \textit{S. Gan}, J. Wuhan Univ., Nat. Sci. Ed. 1994, No. 1, 1--8 (1994; Zbl 0801.60026)
Duffie, Darrell; Singleton, Kenneth J. Simulated moments estimation of Markov models of asset prices. (English) Zbl 0783.62099 Econometrica 61, No. 4, 929-952 (1993). Reviewer: R.Fahrion (Heidelberg) MSC: 62P20 60J20 60J05 PDFBibTeX XMLCite \textit{D. Duffie} and \textit{K. J. Singleton}, Econometrica 61, No. 4, 929--952 (1993; Zbl 0783.62099) Full Text: DOI Link
Chandra, Tapas K.; Goswami, A. Cesàro uniform integrability and the strong law of large numbers. (English) Zbl 0765.60019 Sankhyā, Ser. A 54, No. 2, 215-231 (1992). Reviewer: Liu Wen (Tianjin) MSC: 60F15 PDFBibTeX XMLCite \textit{T. K. Chandra} and \textit{A. Goswami}, Sankhyā, Ser. A 54, No. 2, 215--231 (1992; Zbl 0765.60019)
Burg, Thomas; Drmota, Michael; Tichy, Robert F. Some new results in summability theory. (English) Zbl 0715.60039 Number-theoretic analysis, Semin. Proc., Vienna/Austria 1988-89, Lect. Notes Math. 1452, 20-30 (1990). Reviewer: P.Schatte MSC: 60F15 11K38 40C05 PDFBibTeX XML
Wang, Xiangchen; Bhaskara Rao, M. Some weak and strong laws of large numbers for \(D[0,1]\)-valued random variables. (English) Zbl 0639.60004 Stochastic Anal. Appl. 5, 443-465 (1987). Reviewer: S.D.Chatterji MSC: 60B12 60F05 60F15 PDFBibTeX XMLCite \textit{X. Wang} and \textit{M. Bhaskara Rao}, Stochastic Anal. Appl. 5, 443--465 (1987; Zbl 0639.60004) Full Text: DOI
Landers, Dieter; Rogge, Lothar Laws of large numbers for pairwise independent uniformly integrable random variables. (English) Zbl 0621.60032 Math. Nachr. 130, 189-192 (1987). MSC: 60F15 60F05 PDFBibTeX XMLCite \textit{D. Landers} and \textit{L. Rogge}, Math. Nachr. 130, 189--192 (1987; Zbl 0621.60032) Full Text: DOI
Stadtmüller, U. Asymptotic distributions of smoothed histograms. (English) Zbl 0519.62019 Metrika 30, 145-158 (1983). MSC: 62E20 62G05 60F05 PDFBibTeX XMLCite \textit{U. Stadtmüller}, Metrika 30, 145--158 (1983; Zbl 0519.62019) Full Text: DOI EuDML
Bierens, H. J. A uniform weak law of large numbers under phi-mixing with application to nonlinear least squares estimation. (English) Zbl 0504.62081 Stat. Neerl. 36, 81-88 (1982). MSC: 62M10 62J02 60F05 PDFBibTeX XMLCite \textit{H. J. Bierens}, Stat. Neerl. 36, 81--88 (1982; Zbl 0504.62081) Full Text: DOI