Buraczewski, Dariusz; Dong, Congzao; Iksanov, Alexander; Marynych, Alexander Limit theorems for random Dirichlet series. (English) Zbl 07757097 Stochastic Processes Appl. 165, 246-274 (2023). MSC: 60F15 60F17 30B50 60G50 30C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shiozawa, Yuichi; Wang, Jian Martingale nature and laws of the iterated logarithm for Markov processes of pure-jump type. (English) Zbl 1482.60110 J. Theor. Probab. 34, No. 4, 2005-2032 (2021). Reviewer: Nicolas Privault (Singapore) MSC: 60J74 47G20 60G52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dedecker, Jérôme; Merlevède, Florence Almost sure invariance principle for the Kantorovich distance between the empirical and the marginal distributions of strong mixing sequences. (English) Zbl 1457.60051 Stat. Probab. Lett. 171, Article ID 108991, 9 p. (2021). MSC: 60F17 60F15 60G10 60B12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Aistleitner, Christoph; Fukuyama, Katusi On the law of the iterated logarithm for trigonometric series with bounded gaps. (English) Zbl 1260.60050 Probab. Theory Relat. Fields 154, No. 3-4, 607-620 (2012). MSC: 60F15 11K38 42A61 42A32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koval, V. O. Bounded law of iterated logarithm for matrix-normalized sums of independent random vectors. (Ukrainian, English) Zbl 1123.60017 Teor. Jmovirn. Mat. Stat. 72, 63-66 (2005); translation in Theory Probab. Math. Stat. 72, 69-73 (2006). Reviewer: R. E. Maiboroda (Kyïv) MSC: 60F15 × Cite Format Result Cite Review PDF Full Text: Link
Deng, Dianliang On the bounded laws of iterated logarithm in Banach space. (English) Zbl 1136.60314 ESAIM, Probab. Stat. 9, 19-37 (2005). MSC: 60F05 60B12 60F99 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Sepanski, Steven J. A law of the iterated logarithm for the sample covariance matrix. (English) Zbl 1061.60028 Electron. Commun. Probab. 8, 63-76 (2003). MSC: 60F15 60F05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Chen, Guangshu Limit theorem for sum of even power independent random variables. (Chinese. English summary) Zbl 1048.60019 J. Anhui Norm. Univ., Nat. Sci. 26, No. 4, 321-323 (2003). MSC: 60F05 × Cite Format Result Cite Review PDF
Deng, Dianliang On the self-normalized bounded laws of iterated logarithm in Banach space. (English) Zbl 1113.60300 Stat. Probab. Lett. 64, No. 3, 277-286 (2003). MSC: 60B12 60F05 60F17 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Lixin; Wu, Rong The bounded law of the iterated logarithm for a sequence of NA random variables. (Chinese. English summary) Zbl 1017.60024 Acta Math. Appl. Sin. 26, No. 1, 125-132 (2003). MSC: 60F05 60E15 × Cite Format Result Cite Review PDF
Rozovskij, L. V. A remark on the Kolmogorov law of the iterated logarithm. (English. Russian original) Zbl 1033.60041 Theory Probab. Appl. 47, No. 1, 171-173 (2002); translation from Teor. Veroyatn. Primen. 47, No. 1, 166-169 (2002). MSC: 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Liang, Hanying; Su, Chun; Hu, Taizhong General forms on convergence rates for the law of the iterated logarithm of \(B\)-valued independent random elements. (Chinese. English summary) Zbl 0959.60025 Acta Math. Appl. Sin. 23, No. 3, 457-465 (2000). MSC: 60F15 × Cite Format Result Cite Review PDF
Wang, Yongge Randomness and complexity. (English) Zbl 0858.03041 Heidelberg: Univ. Heidelberg, Naturwiss.-Math. Gesamtfak. 104 p. (1996). MSC: 03D15 68Q15 × Cite Format Result Cite Review PDF
Einmahl, Uwe Toward a general law of the iterated logarithm in Banach space. (English) Zbl 0790.60034 Ann. Probab. 21, No. 4, 2012-2045 (1993). MSC: 60F15 60B12 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Deli Convergence rates of law of iterated logarithm for \(B\)-valued random variables. (English) Zbl 0735.60031 Sci. China, Ser. A 34, No. 4, 395-404 (1991). MSC: 60F15 × Cite Format Result Cite Review PDF
Wu, Zhiquan; Li, Deli A result on the strong limit theorem. (English) Zbl 0732.60039 Northeast. Math. J. 6, No. 2, 157-166 (1990). Reviewer: Zhiquan Wu MSC: 60F15 60B12 × Cite Format Result Cite Review PDF
Ledoux, Michel The law of the iterated logarithm in uniformly convex Banach spaces. (English) Zbl 0592.60008 Trans. Am. Math. Soc. 294, 351-365 (1986). Reviewer: V.Tarieladze MSC: 60B12 60B11 46B20 × Cite Format Result Cite Review PDF Full Text: DOI
Berger, Erich Asymptotic behaviour of a class of stochastic approximation procedures. (English) Zbl 0571.62073 Probab. Theory Relat. Fields 71, 517-552 (1986). MSC: 62L20 60F05 60F17 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Kuelbs, J.; Zinn, J. Some additional stability results for vector-valued random variables. (English) Zbl 0516.60013 Aspects statistiques et aspects physiques des processus gaussiens, Saint- Flour 1980, Colloq. Int. C.N.R.S. 307, 461-469 (1981). MSC: 60B12 60F15 × Cite Format Result Cite Review PDF