Lita da Silva, J. Convergence in \(p\)-mean for arrays of row-wise extended negatively dependent random variables. (English) Zbl 1399.60067 Acta Math. Hung. 150, No. 2, 346-362 (2016). MSC: 60F25 PDF BibTeX XML Cite \textit{J. Lita da Silva}, Acta Math. Hung. 150, No. 2, 346--362 (2016; Zbl 1399.60067) Full Text: DOI
Xu, Chen; Xi, Mengmei; Wang, Xuejun; Xia, Hao \(L^r\) convergence for weighted sums of extended negatively dependent random variables. (English) Zbl 1356.60057 J. Math. Inequal. 10, No. 4, 1157-1167 (2016). MSC: 60F25 60F05 PDF BibTeX XML Cite \textit{C. Xu} et al., J. Math. Inequal. 10, No. 4, 1157--1167 (2016; Zbl 1356.60057) Full Text: DOI
Chen, Pingyan; Bai, Peng; Sung, Soo Hak The von Bahr-Esseen moment inequality for pairwise independent random variables and applications. (English) Zbl 1316.60028 J. Math. Anal. Appl. 419, No. 2, 1290-1302 (2014). MSC: 60E15 PDF BibTeX XML Cite \textit{P. Chen} et al., J. Math. Anal. Appl. 419, No. 2, 1290--1302 (2014; Zbl 1316.60028) 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 PDF BibTeX XML Cite \textit{Y. Wu} et al., Appl. Math., Praha 58, No. 5, 511--529 (2013; Zbl 1299.60047) Full Text: DOI
Chen, Ping Yan; Wang, Ding Cheng \(L^r\) convergence for \(B\)-valued random elements. (English) Zbl 1334.60005 Acta Math. Sin., Engl. Ser. 28, No. 4, 857-868 (2012). MSC: 60B12 60F25 PDF BibTeX XML Cite \textit{P. Y. Chen} and \textit{D. C. Wang}, Acta Math. Sin., Engl. Ser. 28, No. 4, 857--868 (2012; Zbl 1334.60005) Full Text: DOI
Mattner, Lutz One optional observation inflates \(\alpha\) by \({100/\sqrt{n}}\) per cent. (English) Zbl 1206.62024 Metrika 73, No. 1, 43-59 (2011). MSC: 62F05 62F03 62L99 PDF BibTeX XML Cite \textit{L. Mattner}, Metrika 73, No. 1, 43--59 (2011; Zbl 1206.62024) Full Text: DOI arXiv
Chen, Pingyan; Ordóñez Cabrera, Manuel; Volodin, Andrei \(L_{1}\)-convergence for weighted sums of some dependent random variables. (English) Zbl 1213.60057 Stochastic Anal. Appl. 28, No. 6, 928-936 (2010). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60F15 60F05 PDF BibTeX XML Cite \textit{P. Chen} et al., Stochastic Anal. Appl. 28, No. 6, 928--936 (2010; Zbl 1213.60057) Full Text: DOI
Gut, Allan; Stadtmüller, Ulrich An asymmetric Marcinkiewicz-Zygmund LLN for random fields. (English) Zbl 1162.60314 Stat. Probab. Lett. 79, No. 8, 1016-1020 (2009). MSC: 60F15 60G50 60G60 60F05 PDF BibTeX XML Cite \textit{A. Gut} and \textit{U. Stadtmüller}, Stat. Probab. Lett. 79, No. 8, 1016--1020 (2009; Zbl 1162.60314) Full Text: DOI
Hong, Dug Hun On the weak law of large numbers for randomly indexed partial sums for arrays. (English) Zbl 0854.60024 Stat. Probab. Lett. 28, No. 2, 127-130 (1996). Reviewer: Z.Rychlik (Lublin) MSC: 60F05 60G42 PDF BibTeX XML Cite \textit{D. H. Hong}, Stat. Probab. Lett. 28, No. 2, 127--130 (1996; Zbl 0854.60024) Full Text: DOI
Hong, Dug Hun; Oh, Kwang Sik On the weak law of large numbers for arrays. (English) Zbl 0815.60023 Stat. Probab. Lett. 22, No. 1, 55-57 (1995). Reviewer: H.Hering (Göttingen) MSC: 60F05 60G42 PDF BibTeX XML Cite \textit{D. H. Hong} and \textit{K. S. Oh}, Stat. Probab. Lett. 22, No. 1, 55--57 (1995; Zbl 0815.60023) Full Text: DOI
Gut, Allan The weak law of large numbers for arrays. (English) Zbl 0769.60034 Stat. Probab. Lett. 14, No. 1, 49-52 (1992). Reviewer: T.Shervashidze (Tbilisi) MSC: 60F25 60F05 60G42 60G50 PDF BibTeX XML Cite \textit{A. Gut}, Stat. Probab. Lett. 14, No. 1, 49--52 (1992; Zbl 0769.60034) Full Text: DOI
Choi, Bong Dae; Sung, Soo Hak On Chung’s strong law of large numbers in general Banach spaces. (English) Zbl 0628.60012 Bull. Aust. Math. Soc. 37, No. 1, 93-100 (1988). Reviewer: A.J.Rachkauskas MSC: 60B12 60F15 PDF BibTeX XML Cite \textit{B. D. Choi} and \textit{S. H. Sung}, Bull. Aust. Math. Soc. 37, No. 1, 93--100 (1988; Zbl 0628.60012) Full Text: DOI
Hernández, Victor; Romo, Juan J. On the type hypothesis for the strong law of large numbers. (English) Zbl 0611.60027 Stat. Probab. Lett. 5, 193-195 (1987). Reviewer: Şt.P.Niculescu MSC: 60F15 60B12 PDF BibTeX XML Cite \textit{V. Hernández} and \textit{J. J. Romo}, Stat. Probab. Lett. 5, 193--195 (1987; Zbl 0611.60027) Full Text: DOI
Esseen, Carl-Gustav; Janson, Svante On moment conditions for normed sums of independent variables and martingale differences. (English) Zbl 0554.60050 Stochastic Processes Appl. 19, 173-182 (1985). Reviewer: D.Kannan MSC: 60G50 60G42 60F25 PDF BibTeX XML Cite \textit{C.-G. Esseen} and \textit{S. Janson}, Stochastic Processes Appl. 19, 173--182 (1985; Zbl 0554.60050) Full Text: DOI
Norvajsha, R.; Rachkauskas, A. Law of large numbers with respect to a quasinorm. I. (English) Zbl 0599.60032 Lith. Math. J. 24, 149-159 (1984). MSC: 60F15 PDF BibTeX XML Cite \textit{R. Norvajsha} and \textit{A. Rachkauskas}, Lith. Math. J. 24, 149--159 (1984; Zbl 0599.60032) Full Text: DOI
Norvajsha, R. Law of large numbers for identically distributed Banach-valued random variables. (English. Russian original) Zbl 0542.60010 Lith. Math. J. 23, 290-296 (1983); translation from Litov. Mat. Sb. 23, No. 3, 100-109 (1983). Reviewer: V.Kvaratskhelia MSC: 60B12 PDF BibTeX XML Cite \textit{R. Norvajsha}, Lith. Math. J. 23, 290--296 (1983; Zbl 0542.60010); translation from Litov. Mat. Sb. 23, No. 3, 100--109 (1983) Full Text: DOI
Hall, Peter On the \(L^p\) convergence of sums of independent random variables. (English) Zbl 0369.60055 Math. Proc. Camb. Philos. Soc. 82, 439-446 (1977). MSC: 60G50 PDF BibTeX XML Cite \textit{P. Hall}, Math. Proc. Camb. Philos. Soc. 82, 439--446 (1977; Zbl 0369.60055) Full Text: DOI
Dale, A. I. Convergence in r-mean of normalized partial sums in a separable Banach space. (English) Zbl 0367.60052 Metrika 24, 169-173 (1977). MSC: 60F05 60B99 PDF BibTeX XML Cite \textit{A. I. Dale}, Metrika 24, 169--173 (1977; Zbl 0367.60052) Full Text: DOI EuDML
Gut, Allan On a.s. and r-mean convergence of random processes with an application to first passage times. (English) Zbl 0291.60024 Z. Wahrscheinlichkeitstheor. Verw. Geb. 31, 333-341 (1975). MSC: 60G40 60J99 60F05 60F15 60K05 PDF BibTeX XML Cite \textit{A. Gut}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 31, 333--341 (1975; Zbl 0291.60024) Full Text: DOI
Sen, Pranab Kumar On \(L^p\)-convergence of \(U\)-statistics. (English) Zbl 0337.62013 Ann. Inst. Stat. Math. 26, 55-60 (1974). MSC: 62E20 62G30 PDF BibTeX XML Cite \textit{P. K. Sen}, Ann. Inst. Stat. Math. 26, 55--60 (1974; Zbl 0337.62013) Full Text: DOI
Chatterji, S. D. A general strong law. (English) Zbl 0193.09301 Invent. Math. 9, 235-245 (1970). PDF BibTeX XML Cite \textit{S. D. Chatterji}, Invent. Math. 9, 235--245 (1970; Zbl 0193.09301) Full Text: DOI EuDML
Brillinger, D. R. An asymptotic representation of the sample distribution function. (English) Zbl 0206.20602 Bull. Am. Math. Soc. 75, 545-547 (1969). MSC: 62E20 PDF BibTeX XML Cite \textit{D. R. Brillinger}, Bull. Am. Math. Soc. 75, 545--547 (1969; Zbl 0206.20602) Full Text: DOI