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60F15 Strong theorems (52 articles)

• Ding, Liwang; Jiang, Caoqing: Strong convergence for weighted sums of WOD random variables and its application in the EV regression model. (English). Applications of Mathematics, vol. 69 (2024), issue 1, pp. 93-111
• Chen, Xi; Tao, Xinran; Wang, Xuejun: Complete $f$-moment convergence for weighted sums of WOD arrays with statistical applications. (English). Kybernetika, vol. 59 (2023), issue 1, pp. 1-27
• Hu, Feng; Fu, Xiaoting; Qu, Ziyi; Zong, Zhaojun: Further results on laws of large numbers for uncertain random variables. (English). Kybernetika, vol. 59 (2023), issue 2, pp. 314-338
• Huang, Haiwu; Li, Linyan; Lu, Xuewen: Convergence of the tail probability for weighted sums of negatively orthant dependent random variables. (English). Kybernetika, vol. 56 (2020), issue 4, pp. 646-661
• Huang, Haiwu; Lu, Xuewen: On complete moment convergence for weighted sums of negatively superadditive dependent random variables. (English). Applications of Mathematics, vol. 65 (2020), issue 4, pp. 355-377
• Hien, Nguyen Thi Thanh; Thanh, Le Van; Van, Vo Thi Hong: On the negative dependence in Hilbert spaces with applications. (English). Applications of Mathematics, vol. 64 (2019), issue 1, pp. 45-59
• Wu, Yongfeng; Peng, Jiangyan: Some limit theorems for $m$-pairwise negative quadrant dependent random variables. (English). Kybernetika, vol. 54 (2018), issue 4, pp. 815-828
• 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). Applications of Mathematics, vol. 62 (2017), issue 2, pp. 209-211
• Ahmadzade, Hamed; Amini, Mohammad; Taheri, Seyed Mahmoud; Bozorgnia, Abolghasem: Maximal inequalities and some convergence theorems for fuzzy random variables. (English). Kybernetika, vol. 52 (2016), issue 2, pp. 307-328
• Huang, Haiwu; Zhang, Hanjun; Zhang, Qingxia: On complete moment convergence for weighted sums of AANA random variables. (English). Kybernetika, vol. 52 (2016), issue 2, pp. 294-306
• Chen, Zhiyong; Wang, Haibin; Wang, Xuejun; Hu, Shuhe: Strong Convergence for weighed sums of negatively superadditive dependent random variables. (English). Kybernetika, vol. 52 (2016), issue 1, pp. 52-65
• Quang, Nguyen Van; Nguyen, Pham Tri: Strong laws of large numbers for sequences of blockwise and pairwise $m$-dependent random variables in metris spaces. (English). Applications of Mathematics, vol. 61 (2016), issue 6, pp. 669-684
• 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). Applications of Mathematics, vol. 60 (2015), issue 3, pp. 251-263
• Huang, Haiwu; Zhang, Hanjun; Zhang, Qingxia; Peng, Jiangyan: Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables. (English). Kybernetika, vol. 51 (2015), issue 6, pp. 960-972
• Zhou, Xing-Cai; Lin, Jin-Guan: Complete $q$-order moment convergence of moving average processes under $\varphi $-mixing assumptions. (English). Applications of Mathematics, vol. 59 (2014), issue 1, pp. 69-83
• Son, Ta Cong; Thang, Dang Hung; Dung, Le Van: Complete convergence in mean for double arrays of random variables with values in Banach spaces. (English). Applications of Mathematics, vol. 59 (2014), issue 2, pp. 177-190
• Wang, Xinghui; Li, Xiaoqin; Hu, Shuhe: Complete convergence of weighted sums for arrays of rowwise $\varphi $-mixing random variables. (English). Applications of Mathematics, vol. 59 (2014), issue 5, pp. 589-607
• Kříž, P.; Štěpán, J.: A note on almost sure convergence and convergence in measure. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 1, pp. 29-40
• Agahi, Hamzeh; Mesiar, Radko: On an exponential inequality and a strong law of large numbers for monotone measures. (English). Kybernetika, vol. 50 (2014), issue 5, pp. 804-813
• Wu, Yongfeng; Shen, Guangjun: On convergence for sequences of pairwise negatively quadrant dependent random variables. (English). Applications of Mathematics, vol. 59 (2014), issue 4, pp. 473-487
• Huang, Haiwu; Deng, Guangming; Zhang, QingXia; Jiang, Yuanying: On the strong convergence for weighted sums of asymptotically almost negatively associated random variables. (English). Kybernetika, vol. 50 (2014), issue 3, pp. 393-407
• Wu, Yongfeng; Rosalsky, Andrew; Volodin, Andrei: Some mean convergence and complete convergence theorems for sequences of $m$-linearly negative quadrant dependent random variables. (English). Applications of Mathematics, vol. 58 (2013), issue 5, pp. 511-529
• Krüger, Tyll; Montúfar, Guido; Seiler, Ruedi; Siegmund-Schultze, Rainer: Universally typical sets for ergodic sources of multidimensional data. (English). Kybernetika, vol. 49 (2013), issue 6, pp. 868-882
• Wu, Yongfeng; Wang, Dingcheng: Convergence properties for arrays of rowwise pairwise negatively quadrant dependent random variables. (English). Applications of Mathematics, vol. 57 (2012), issue 5, pp. 463-476
• Huan, Nguyen Van; Quang, Nguyen Van: The Doob inequality and strong law of large numbers for multidimensional arrays in general Banach spaces. (English). Kybernetika, vol. 48 (2012), issue 2, pp. 254-267
• Cai, Guang-hui: A strong invariance principle for negatively associated random fields. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 1, pp. 27-40
• Triacca, Umberto; Volodin, Andrei: On a characterization of orthogonality with respect to particular sequences of random variables in $L^2$. (English). Applications of Mathematics, vol. 55 (2010), issue 4, pp. 329-335
• Gordienko, Evgueni; Garcia, Antonio; Chavez, Juan Ruiz de: Asymptotic properties and optimization of some non-Markovian stochastic processes. (English). Kybernetika, vol. 45 (2009), issue 3, pp. 475-490
• Wang, Kangkang: A class of strong limit theorems for countable nonhomogeneous Markov chains on the generalized gambling system. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 1, pp. 23-37
• Bieniek, Milena; Szynal, Dominik: On entropies for random partitions of the unit segment. (English). Kybernetika, vol. 44 (2008), issue 1, pp. 75-94
• Cai, Guang-hui: Chover-type laws of the iterated logarithm for weighted sums of NA sequences. (English). Mathematica Bohemica, vol. 132 (2007), issue 1, pp. 27-33
• Cai, Guang-hui: Strong laws of large numbers for weighted sums of $\overline \rho $-mixing random variables. (English). Mathematica Slovaca, vol. 57 (2007), issue 4, pp. [381]-388
• Yang, Weiguo; Ye, Zhongxing; Liu, Wen: A local convergence theorem for partial sums of stochastic adapted sequences. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 525-532
• Amghibech, S.: On the Borel-Cantelli Lemma and moments. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 47 (2006), issue 4, pp. 669-679
• Riečan, Beloslav: On the strong law of large numbers on some ordered structures. (English). Mathematica Slovaca, vol. 54 (2004), issue 1, pp. 61-67
• Gilat, David; Helmers, Roelof: On strong laws for generalized L-statistics with dependent data. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 1, pp. 187-192
• Weber, Michel: Borel matrix. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 36 (1995), issue 2, pp. 401-415
• Grabner, Peter J.: Metric results on a new notion of discrepancy. (English). Mathematica Slovaca, vol. 42 (1992), issue 5, pp. 615-619
• Anděl, Jiří; Dupač, Václav: An extension of the Borel lemma. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 2, pp. 403-404
• Bozorgnia, A.; Bhaskara Rao, M.: Some comments on a result of Hanš on strong convergence of sequences of random elements in separable Banach spaces. (English). Mathematica Slovaca, vol. 39 (1989), issue 2, pp. 191-197
• Maličký, Peter: A vector lattice variant of the ergodic theorem. (English). In: Frolík, Z., Souček, V. and Fabián, M. (eds.): Proceedings of the 14th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1987. pp. [391]-397
• Potocký, Rastislav: Convergence of weighted sums of random variables in vector lattices. (English). Mathematica Slovaca, vol. 34 (1984), issue 3, pp. 273-276
• Potocký, Rastislav: A strong law of large numbers for identically distributed vector lattice-valued random variables. (English). Mathematica Slovaca, vol. 34 (1984), issue 1, pp. 67-72
• Pulmannová, Sylvia: Individual ergodic theorem on a logic. (English). Mathematica Slovaca, vol. 32 (1982), issue 4, pp. 413-416
• Mesiar, Radko: Martingale theorems in the ergodic theory. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 10th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1982. pp. [187]-[191]
• Mesiar, Radko: On mean values of subadditive processes. (English). Mathematica Slovaca, vol. 32 (1982), issue 3, pp. 305-307
• Kunderová, Pavla: On limit properties of the reward from a Markov replacement process. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 20 (1981), issue 1, pp. 133-146
• Taylor, S. J.: Pravidelnost náhodnosti. (Czech) [The regularity of randomness]. Pokroky matematiky, fyziky a astronomie, vol. 25 (1980), issue 1, pp. 28-34
• Mesiar, Radko: A generalization of the individual ergodic theorem. (English). Mathematica Slovaca, vol. 30 (1980), issue 3, pp. 327-330
• Dvurečenskij, Anatolij: Laws of large numbers and the central limit theorems on a logic. (English). Mathematica Slovaca, vol. 29 (1979), issue 4, pp. 397-410
• Gafurov, M. U.; Sirazhdinov, S. H.: Некоторые обобщения результатов Эрдеша-Каца, связанных с усиленным законом больших чисел, и их приложения. (Russian) [Some generalizations of the results of Erdős and Katz connected with the strong law of large numbers, and their applications]. Kybernetika, vol. 15 (1979), issue 4, pp. (272)-292
• Potocký, Rastislav: The strong law of large numbers for o-convergent random variables. (English). Mathematica Slovaca, vol. 28 (1978), issue 1, pp. 101-111