Szewczak, Zbigniew S. On the Marcinkiewicz-Zygmund strong laws for arbitrary dependent sequences. (English) Zbl 1453.60080 Stat. Probab. Lett. 167, Article ID 108895, 4 p. (2020). MSC: 60F15 60E15 PDF BibTeX XML Cite \textit{Z. S. Szewczak}, Stat. Probab. Lett. 167, Article ID 108895, 4 p. (2020; Zbl 1453.60080) Full Text: DOI OpenURL
Feng, Decheng; Li, Qinshe; Wang, Ying The conditional Hájek-Rényi-type inequalities for conditional PA sequences and their application. (Chinese. English summary) Zbl 1463.60025 Acta Math. Appl. Sin. 42, No. 5, 647-654 (2019). MSC: 60E15 PDF BibTeX XML Cite \textit{D. Feng} et al., Acta Math. Appl. Sin. 42, No. 5, 647--654 (2019; Zbl 1463.60025) OpenURL
Feng, Decheng; Wang, Xiaoyan; Gao, Yufeng Hájek-Rényi-type inequality and strong law of large numbers for associated sequences. (English) Zbl 1424.60013 Chin. J. Appl. Probab. Stat. 34, No. 2, 169-176 (2018). MSC: 60E15 60F15 PDF BibTeX XML Cite \textit{D. Feng} et al., Chin. J. Appl. Probab. Stat. 34, No. 2, 169--176 (2018; Zbl 1424.60013) Full Text: DOI OpenURL
Hadjikyriakou, Milto Some results on dependent random variables and a connection with the multivariate \(\mathbf s\)-increasing convex order. (English) Zbl 1387.60036 Commun. Stat., Theory Methods 46, No. 24, 12087-12102 (2017). MSC: 60E15 60F15 PDF BibTeX XML Cite \textit{M. Hadjikyriakou}, Commun. Stat., Theory Methods 46, No. 24, 12087--12102 (2017; Zbl 1387.60036) Full Text: DOI OpenURL
Deng, Xin; Wang, Xuejun; Xia, Fengxi Hajek-Renyi-type inequality and strong law of large numbers for END sequences. (English) Zbl 1381.60059 Commun. Stat., Theory Methods 46, No. 2, 672-682 (2017). MSC: 60E15 60F15 PDF BibTeX XML Cite \textit{X. Deng} et al., Commun. Stat., Theory Methods 46, No. 2, 672--682 (2017; Zbl 1381.60059) Full Text: DOI OpenURL
Chen, Pingyan; Yan, Xiaoxia Some moment inequalities and applications. (Chinese. English summary) Zbl 1363.60006 Math. Appl. 29, No. 1, 7-14 (2016). MSC: 60E15 60F15 PDF BibTeX XML Cite \textit{P. Chen} and \textit{X. Yan}, Math. Appl. 29, No. 1, 7--14 (2016; Zbl 1363.60006) OpenURL
Liu, Yuewen; Wang, Caishi; Pu, Liqin A new Hájek-Rényi-type inequality for AANA sequences. (Chinese. English summary) Zbl 1324.60010 J. Sichuan Norm. Univ., Nat. Sci. 37, No. 6, 806-809 (2014). MSC: 60E15 60B12 PDF BibTeX XML Cite \textit{Y. Liu} et al., J. Sichuan Norm. Univ., Nat. Sci. 37, No. 6, 806--809 (2014; Zbl 1324.60010) Full Text: DOI OpenURL
Fazekas, I. On a general approach to the strong laws of large numbers. (English) Zbl 1322.60021 J. Math. Sci., New York 200, No. 4, 411-423 (2014). MSC: 60F15 PDF BibTeX XML Cite \textit{I. Fazekas}, J. Math. Sci., New York 200, No. 4, 411--423 (2014; Zbl 1322.60021) Full Text: DOI arXiv OpenURL
Yang, Wenzhi; Shen, Yan; Hu, Shuhe; Wang, Xuejun Hájek-Rényi-type inequality and strong law of large numbers for some dependent sequences. (English) Zbl 1266.60035 Acta Math. Appl. Sin., Engl. Ser. 28, No. 3, 495-504 (2012). Reviewer: B. L. S. Prakasa Rao (Hyderabad) MSC: 60E15 60F15 PDF BibTeX XML Cite \textit{W. Yang} et al., Acta Math. Appl. Sin., Engl. Ser. 28, No. 3, 495--504 (2012; Zbl 1266.60035) Full Text: DOI OpenURL
Wang, Xuejun; Shen, Yan; Hu, Shuhe; Yang, Wenzhi Hájek-Rényi-type inequality for a class of random variable sequences and its applications. (English) Zbl 1240.60087 Commun. Math. Res. 27, No. 1, 6-16 (2011). MSC: 60F15 60E15 PDF BibTeX XML Cite \textit{X. Wang} et al., Commun. Math. Res. 27, No. 1, 6--16 (2011; Zbl 1240.60087) OpenURL
Xuejun, Wang; Shuhe, Hu; Wenzhi, Yang; Yan, Shen Hájek-Rényi-type inequalities and laws of large numbers for \(L_{q}\)-mixingale array. (English) Zbl 1221.60042 Math. Inequal. Appl. 14, No. 3, 621-632 (2011). MSC: 60F15 60E15 PDF BibTeX XML Cite \textit{W. Xuejun} et al., Math. Inequal. Appl. 14, No. 3, 621--632 (2011; Zbl 1221.60042) Full Text: DOI OpenURL
Xuejun, Wang; Shuhe, Hu; Xiaoqin, Li; Wenzhi, Yang Maximal inequalities and strong law of large numbers for AANA sequences. (English) Zbl 1213.60042 Commun. Korean Math. Soc. 26, No. 1, 151-161 (2011). MSC: 60E15 60F15 60F10 PDF BibTeX XML Cite \textit{W. Xuejun} et al., Commun. Korean Math. Soc. 26, No. 1, 151--161 (2011; Zbl 1213.60042) Full Text: DOI OpenURL
Yuan, De-Mei; Yang, Yu-Kun Conditional versions of limit theorems for conditionally associated random variables. (English) Zbl 1217.60024 J. Math. Anal. Appl. 376, No. 1, 282-293 (2011). Reviewer: Tadeusz Inglot (Wrocław) MSC: 60F15 60F05 60E15 60E99 60G10 PDF BibTeX XML Cite \textit{D.-M. Yuan} and \textit{Y.-K. Yang}, J. Math. Anal. Appl. 376, No. 1, 282--293 (2011; Zbl 1217.60024) Full Text: DOI OpenURL
Gong, Xiaobing Hàjek-Rènyi type inequality for Banach space valued martingales and its applications. (English) Zbl 1240.60126 Chin. Q. J. Math. 25, No. 3, 464-469 (2010). MSC: 60G46 60E15 46E40 PDF BibTeX XML Cite \textit{X. Gong}, Chin. Q. J. Math. 25, No. 3, 464--469 (2010; Zbl 1240.60126) OpenURL
Christofides, Tasos C.; Hadjikyriakou, Milto Maximal inequalities for multidimensionally indexed demimartingales and the Hájek-Rényi inequality for associated random variables. (English) Zbl 1218.60014 Aust. J. Math. Anal. Appl. 7, No. 2, Article No. 9, 9 p. (2010). MSC: 60E15 60F15 60G42 60G48 PDF BibTeX XML Cite \textit{T. C. Christofides} and \textit{M. Hadjikyriakou}, Aust. J. Math. Anal. Appl. 7, No. 2, Article No. 9, 9 p. (2010; Zbl 1218.60014) Full Text: Link OpenURL
Yu, Lin; Wang, Juan Hajek-Renyi inequality and its applications for LPQD sequences. (Chinese. English summary) Zbl 1224.60026 Math. Appl. 23, No. 1, 76-81 (2010). MSC: 60E15 60F15 PDF BibTeX XML Cite \textit{L. Yu} and \textit{J. Wang}, Math. Appl. 23, No. 1, 76--81 (2010; Zbl 1224.60026) OpenURL
Xuejun, Wang; Shuhe, Hu; Yan, Shen; Wenzhi, Yang Moment inequality for \(\varphi \)-mixing sequences and its applications. (English) Zbl 1188.60010 J. Inequal. Appl. 2009, Article ID 379743, 12 p. (2009). MSC: 60E15 60F15 PDF BibTeX XML Cite \textit{W. Xuejun} et al., J. Inequal. Appl. 2009, Article ID 379743, 12 p. (2009; Zbl 1188.60010) Full Text: DOI EuDML OpenURL
Prakasa Rao, B. L. S. Conditional independence, conditional mixing and conditional association. (English) Zbl 1314.60054 Ann. Inst. Stat. Math. 61, No. 2, 441-460 (2009). MSC: 60E05 60E15 60F05 60F15 PDF BibTeX XML Cite \textit{B. L. S. Prakasa Rao}, Ann. Inst. Stat. Math. 61, No. 2, 441--460 (2009; Zbl 1314.60054) Full Text: DOI Link OpenURL
Amini, M.; Bozorgnia, A. Some maximal inequalities for random variables and applications. (English) Zbl 1195.60043 Iran. J. Sci. Technol., Trans. A, Sci. 30, No. 3, 363-367 (2007). MSC: 60F15 60E15 PDF BibTeX XML Cite \textit{M. Amini} and \textit{A. Bozorgnia}, Iran. J. Sci. Technol., Trans. A, Sci. 30, No. 3, 363--367 (2007; Zbl 1195.60043) OpenURL
Gan, Shixin; Qiu, Dehua On the Hàjek-Rènyi inequality. (English) Zbl 1174.60309 Wuhan Univ. J. Nat. Sci. 12, No. 6, 971-974 (2007). MSC: 60E15 PDF BibTeX XML Cite \textit{S. Gan} and \textit{D. Qiu}, Wuhan Univ. J. Nat. Sci. 12, No. 6, 971--974 (2007; Zbl 1174.60309) Full Text: DOI OpenURL
Gruszecki, Lech Inequalities for one maximum of partial sums of random variables obtained by using subadditive functions. (English) Zbl 1164.30337 Mathematica 48(71), No. 1, 37-40 (2006). MSC: 30C45 60E15 60F15 PDF BibTeX XML Cite \textit{L. Gruszecki}, Mathematica 48(71), No. 1, 37--40 (2006; Zbl 1164.30337) OpenURL
Wang, Jianfeng Maximal inequalities for associated random variables and demimartingales. (English) Zbl 1102.60019 Stat. Probab. Lett. 66, No. 3, 347-354 (2004). MSC: 60E15 60G48 PDF BibTeX XML Cite \textit{J. Wang}, Stat. Probab. Lett. 66, No. 3, 347--354 (2004; Zbl 1102.60019) Full Text: DOI OpenURL
Prakasa Rao, B. L. S. Hájek-Rényi-type inequality for associated sequences. (English) Zbl 1001.60023 Stat. Probab. Lett. 57, No. 2, 139-143 (2002). MSC: 60E15 PDF BibTeX XML Cite \textit{B. L. S. Prakasa Rao}, Stat. Probab. Lett. 57, No. 2, 139--143 (2002; Zbl 1001.60023) Full Text: DOI OpenURL
Prakasa Rao, B. L. S. Whittle type inequality for demisubmartingales. (English) Zbl 0997.60008 Proc. Am. Math. Soc. 130, No. 12, 3719-3724 (2002). MSC: 60E15 PDF BibTeX XML Cite \textit{B. L. S. Prakasa Rao}, Proc. Am. Math. Soc. 130, No. 12, 3719--3724 (2002; Zbl 0997.60008) Full Text: DOI OpenURL
Liu, Jingjun; Gan, Shixin; Chen, Pingyan The Hájek-Rényi inequality for the NA random variables and its application. (English) Zbl 0929.60020 Stat. Probab. Lett. 43, No. 1, 99-105 (1999). Reviewer: J.Steinebach (Marburg) MSC: 60F15 60E15 PDF BibTeX XML Cite \textit{J. Liu} et al., Stat. Probab. Lett. 43, No. 1, 99--105 (1999; Zbl 0929.60020) Full Text: DOI OpenURL
Chen, Pingyan; Gan, Shixin The Hájek-Rényi inequality for \(B\)-valued random fields and its application. (Chinese. English summary) Zbl 0931.60006 J. Wuhan Univ., Nat. Sci. Ed. 44, No. 3, 275-278 (1998). MSC: 60E15 60F15 PDF BibTeX XML Cite \textit{P. Chen} and \textit{S. Gan}, J. Wuhan Univ., Nat. Sci. Ed. 44, No. 3, 275--278 (1998; Zbl 0931.60006) OpenURL
Gan, Shixin The Hájek-Rényi inequality for Banach space valued martingales and the \(p\) smoothness of Banach spaces. (English) Zbl 0874.60018 Stat. Probab. Lett. 32, No. 3, 245-248 (1997). MSC: 60E15 60B05 PDF BibTeX XML Cite \textit{S. Gan}, Stat. Probab. Lett. 32, No. 3, 245--248 (1997; Zbl 0874.60018) Full Text: DOI OpenURL
Lavielle, Marc; Moulines, Éric Detection of multiple changes in the mean of a random process. (Détection de ruptures multiples dans la moyenne d’un processus aléatoire.) (French. Abridged English version) Zbl 0882.60031 C. R. Acad. Sci., Paris, Sér. I 324, No. 2, 239-243 (1997). MSC: 60G10 60E15 PDF BibTeX XML Cite \textit{M. Lavielle} and \textit{É. Moulines}, C. R. Acad. Sci., Paris, Sér. I 324, No. 2, 239--243 (1997; Zbl 0882.60031) Full Text: DOI OpenURL
Bondarev, B. V.; Koroljov, M. E. On the Kolmogorov-Hájek-Renyi inequality and its applications. (English) Zbl 0855.60015 Random Oper. Stoch. Equ. 4, No. 1, 51-59 (1996). Reviewer: B.G.Pachpatte (Aurangabad) MSC: 60E15 60G44 60H10 PDF BibTeX XML Cite \textit{B. V. Bondarev} and \textit{M. E. Koroljov}, Random Oper. Stoch. Equ. 4, No. 1, 51--59 (1996; Zbl 0855.60015) Full Text: DOI OpenURL
Petrov, Valentin V. Limit theorems of probability theory. Sequences of independent random variables. (English) Zbl 0826.60001 Oxford Studies in Probability. 4. Oxford: Clarendon Press. ix, 292 p. (1995). Reviewer: R.J.Tomkins (Regina) MSC: 60-01 PDF BibTeX XML Cite \textit{V. V. Petrov}, Limit theorems of probability theory. Sequences of independent random variables. Oxford: Clarendon Press (1995; Zbl 0826.60001) OpenURL
Khan, Rasul A. A remark on Dubins-Savage inequality. (English) Zbl 0749.60015 Stat. Probab. Lett. 13, No. 3, 189-192 (1992). Reviewer: J.G.Székely (Bowling Green) MSC: 60E15 60G42 PDF BibTeX XML Cite \textit{R. A. Khan}, Stat. Probab. Lett. 13, No. 3, 189--192 (1992; Zbl 0749.60015) Full Text: DOI OpenURL
Shorack, G. R. A simple proof of a rate of embedding for the partial sum process. (English) Zbl 0726.60079 Stat. Neerl. 44, No. 4, 263-266 (1990). Reviewer: Wu Rong (Tianjin) MSC: 60J65 60E15 PDF BibTeX XML Cite \textit{G. R. Shorack}, Stat. Neerl. 44, No. 4, 263--266 (1990; Zbl 0726.60079) Full Text: DOI OpenURL
Christofides, Tasos C.; Serfling, Robert J. Maximal inequalities for multidimensionally indexed submartingale arrays. (English) Zbl 0726.60042 Ann. Probab. 18, No. 2, 630-641 (1990). Reviewer: F.Weisz (Budapest) MSC: 60G42 60F15 PDF BibTeX XML Cite \textit{T. C. Christofides} and \textit{R. J. Serfling}, Ann. Probab. 18, No. 2, 630--641 (1990; Zbl 0726.60042) Full Text: DOI OpenURL
Hensz, Ewa The Hájek-Rényi type inequality for tracial states in a von Neumann algebra. (English) Zbl 0707.60021 Information theory, statistical decision functions, random processes, Trans. 10th Prague Conf., Prague/Czech. 1986, Vol. A, 385-390 (1988). MSC: 60E15 46L51 46L53 46L54 PDF BibTeX XML OpenURL
Li, Gang On the strong convergence of random elements in Banach spaces. (Chinese. English summary) Zbl 0661.60009 J. Sichuan Univ., Nat. Sci. Ed. 25, No. 4, 381-389 (1988). MSC: 60B11 PDF BibTeX XML Cite \textit{G. Li}, J. Sichuan Univ., Nat. Sci. Ed. 25, No. 4, 381--389 (1988; Zbl 0661.60009) OpenURL
Klesov, O. I. The Hajek-Renyi inequality for random fields and the strong law of large numbers. (English) Zbl 0459.60019 Theory Probab. Math. Stat. 22, 63-71 (1981). MSC: 60E15 60F15 60G60 60F05 PDF BibTeX XML Cite \textit{O. I. Klesov}, Theory Probab. Math. Stat. 22, 63--71 (1981; Zbl 0459.60019) OpenURL
Ahmad, I. A. A Hajek-Renyi inequality for U-statistics. (English) Zbl 0476.60020 Acta Math. Acad. Sci. Hung. 36, 267-269 (1980). MSC: 60E15 PDF BibTeX XML Cite \textit{I. A. Ahmad}, Acta Math. Acad. Sci. Hung. 36, 267--269 (1980; Zbl 0476.60020) Full Text: DOI OpenURL
Hoekstra, A. H.; Runnenburg, J. Th. Inequalities compared. (English) Zbl 0442.60027 Stat. Neerl. 34, 67-82 (1980). MSC: 60F05 60F15 60G50 60E15 PDF BibTeX XML Cite \textit{A. H. Hoekstra} and \textit{J. Th. Runnenburg}, Stat. Neerl. 34, 67--82 (1980; Zbl 0442.60027) Full Text: DOI OpenURL
Klesov, O. I. The Hajek - Renyi inequality for random fields and strong law of large numbers. (Russian) Zbl 0425.60016 Teor. Veroyatn. Mat. Stat. 22, 58-66 (1980). MSC: 60E15 60F15 60G60 PDF BibTeX XML OpenURL
Dale, A. I. Hajek-Renyi type inequalities for random elements. (English) Zbl 0405.60014 J. Math. Phys. Sci., Madras 13, 179-188 (1979). MSC: 60B99 60G42 PDF BibTeX XML Cite \textit{A. I. Dale}, J. Math. Phys. Sci. 13, 179--188 (1979; Zbl 0405.60014) OpenURL
Rao, P. Whittle’s inequality in Hilbert space. (English) Zbl 0451.60049 Theory Probab. Math. Stat. 16, 111-116 (1978). MSC: 60G42 60G44 60E15 60G17 PDF BibTeX XML Cite \textit{P. Rao}, Theory Probab. Math. Stat. 16, 111--116 (1978; Zbl 0451.60049) OpenURL
Rao, P. Whittle’s inequality in Hilbert space. (Russian) Zbl 0398.60017 Teor. Veroyatn. Mat. Stat. 16, 102-107 (1977). MSC: 60E15 60G42 PDF BibTeX XML OpenURL