Andres, Sebastian; Croydon, David A.; Kumagai, Takashi Heat kernel fluctuations and quantitative homogenization for the one-dimensional Bouchaud trap model. (English) Zbl 07842652 Stochastic Processes Appl. 172, Article ID 104336, 20 p. (2024). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60K37 60F17 82C41 82B43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Cygan, Wojciech; Sandrić, Nikola; Šebek, Stjepan Invariance principle for the capacity and the cardinality of the range of stable random walks. (English) Zbl 1520.60023 Stochastic Processes Appl. 163, 61-84 (2023). Reviewer: Pavel Stoynov (Sofia) MSC: 60F17 60F05 60G50 60G52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mukhamedov, A. K. On the rate of convergence in the invariance principle for weakly dependent random variables. (English) Zbl 1517.60038 Ukr. Math. J. 74, No. 9, 1386-1403 (2023); and Ukr. Mat. Zh. 74, No. 9, 1216-1230 (2022). Reviewer: Martin Wendler (Greifswald) MSC: 60F17 60B12 60G60 × Cite Format Result Cite Review PDF Full Text: DOI
Iksanov, Alexander; Marynych, Alexander; Nikitin, Anatolii Limit theorems for discounted convergent perpetuities. II. (English) Zbl 1508.60040 Electron. J. Probab. 28, Paper No. 15, 22 p. (2023). MSC: 60F15 60F17 60G50 60G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Liu, Yong Hong; Zhang, Qing Qing Local functional law of the iterated logarithm for increments of a Brownian sheet. (Chinese. English summary) Zbl 07822716 Acta Math. Sin., Chin. Ser. 65, No. 6, 1083-1092 (2022). MSC: 60F17 60F15 60J65 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yonghong; Zhang, Ting; Tang, Yiheng Chung’s functional law of the iterated logarithm for the Brownian sheet. (English) Zbl 1511.60053 Front. Math. China 17, No. 6, 1015-1024 (2022); translation from Adv. Math., Beijing 51, No. 5, 952-960 (2022). Reviewer: Martin Wendler (Greifswald) MSC: 60F15 60F17 60G15 × Cite Format Result Cite Review PDF Full Text: DOI
Carfagnini, Marco An application of the Gaussian correlation inequality to the small deviations for a Kolmogorov diffusion. (English) Zbl 1490.60069 Electron. Commun. Probab. 27, Paper No. 20, 7 p. (2022). Reviewer: Peter Kern (Düsseldorf) MSC: 60F17 60F15 60G15 60J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Ya; Wu, Fuke; Zhu, Chao Limit theorems for additive functionals of stochastic functional differential equations with infinite delay. (English) Zbl 1481.60073 J. Differ. Equations 308, 421-454 (2022). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60F15 60F17 60F05 60H10 × Cite Format Result Cite Review PDF Full Text: DOI
Iksanov, Alexander; Nikitin, Anatolii; Samoilenko, Igor Limit theorems for discounted convergent perpetuities. (English) Zbl 1483.60049 Electron. J. Probab. 26, Paper No. 131, 25 p. (2021). MSC: 60F15 60F17 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iksanov, Alexander; Kolesko, Konrad; Meiners, Matthias Gaussian fluctuations and a law of the iterated logarithm for Nerman’s martingale in the supercritical general branching process. (English) Zbl 1483.60127 Electron. J. Probab. 26, Paper No. 160, 22 p. (2021). MSC: 60J80 60F05 60F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cygan, Wojciech; Sandrić, Nikola; Šebek, Stjepan Limit theorems for a stable sausage. (English) Zbl 1479.60047 Stoch. Dyn. 21, No. 7, Article ID 2150041, 44 p. (2021). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60G52 60F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Yongjiang; Hou, Xiyang; Liu, Yunan A functional law of the iterated logarithm for multi-class queues with batch arrivals. (English) Zbl 1480.60277 Ann. Oper. Res. 300, No. 1, 51-77 (2021). MSC: 60K25 60F17 60B10 90B22 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yonghong; Tang, Yiheng; Zhang, Qingqing Local functional law of the iterated logarithm for increments of two-parameter Brownian motion. (Chinese. English summary) Zbl 1488.60070 Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 3, 874-881 (2021). MSC: 60F17 60J65 × Cite Format Result Cite Review PDF
Swanepoel, Jan W. H. The law of the iterated logarithm and maximal smoothing principle for the kernel distribution function estimator. (English) Zbl 1472.62048 J. Nonparametric Stat. 33, No. 1, 156-169 (2021). MSC: 62G05 62G20 60F15 60F17 × Cite Format Result Cite Review PDF Full Text: DOI
Krebs, Johannes On the law of the iterated logarithm and strong invariance principles in stochastic geometry. (English) Zbl 1480.60067 Bernoulli 27, No. 3, 1695-1723 (2021). MSC: 60F15 60D05 60F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Czapla, Dawid; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna The Strassen invariance principle for certain non-stationary Markov-Feller chains. (English) Zbl 1472.35396 Asymptotic Anal. 121, No. 1, 1-34 (2021). MSC: 35Q92 92C40 60F05 60F17 60F15 60J05 60J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Yonghong; Peng, Xinyue Strassen’s law of the iterated logarithm for increments of a Brownian sheet. (Chinese. English summary) Zbl 1474.60076 Adv. Math., Beijing 50, No. 2, 267-276 (2021). MSC: 60F15 60F17 60J65 × Cite Format Result Cite Review PDF
Czapla, Dawid; Hille, Sander C.; Horbacz, Katarzyna; Wojewódka-Ściążko, Hanna The law of the iterated logarithm for a piecewise deterministic Markov process assured by the properties of the Markov chain given by its post-jump locations. (English) Zbl 1472.60125 Stochastic Anal. Appl. 39, No. 2, 357-379 (2021). MSC: 60J25 60J74 60F17 47D07 × 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
Li, Fengbing; Liu, Yonghong Quasi sure local Strassen’s law of the iterated logarithm for increments of a Brownian motion. (Chinese. English summary) Zbl 1463.60046 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 2, 484-491 (2020). MSC: 60F15 60F17 60J65 × Cite Format Result Cite Review PDF
Mo, Yongxiang; Liu, Yonghong; Zhou, Xia Quasi sure local Chung’s functional law of the iterated logarithm for increments of a Brownian motion. (English) Zbl 1463.60049 J. Math., Wuhan Univ. 40, No. 2, 155-164 (2020). MSC: 60F15 60F17 60J65 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yonghong; Liu, Haiguo; Zhou, Xia Local Strassen’s law of the iterated logarithm for increments of a \({l^p}\)-valued Wiener processes in Hölder norm. (Chinese. English summary) Zbl 1449.60068 Math. Appl. 33, No. 1, 256-262 (2020). MSC: 60F17 60F15 60J65 × Cite Format Result Cite Review PDF
Guo, Yongjiang; Song, Yuantao The (functional) law of the iterated logarithm of the sojourn time for a multiclass queue. (English) Zbl 1449.60129 J. Ind. Manag. Optim. 16, No. 3, 1049-1076 (2020). MSC: 60K25 90B36 90B22 68M20 60F17 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Wen Sheng; Su, Zhong Gen; Xiao, Yi Min On global and local properties of the trajectories of Gaussian random fields – a look through the set of limit points. (English) Zbl 1428.60048 Acta Math. Sin., Engl. Ser. 36, No. 2, 137-152 (2020). MSC: 60F10 60F15 60G15 60G17 × Cite Format Result Cite Review PDF Full Text: DOI
Mo, Yongxiang A note on local law of the iterated logarithm for increments of a Brownian motion. (Chinese. English summary) Zbl 1449.60070 Math. Appl. 32, No. 4, 827-831 (2019). MSC: 60F17 60J65 × Cite Format Result Cite Review PDF
Guo, Yongjiang; Hou, Xiyang Functional law of the iterated logarithm for multiclass queues with preemptive priority service discipline: the underloaded and critically loaded cases. (English) Zbl 1536.90052 Li, Quan-Lin (ed.) et al., Stochastic models in reliability, network security and system safety. Essays dedicated to Professor Jinhua Cao on the occasion of his 80th birthday. Singapore: Springer. Commun. Comput. Inf. Sci. 1102, 344-360 (2019). MSC: 90B22 60K25 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Yongjiang; Hou, Xiyang Functional law of the iterated logarithm for multiclass queues with preemptive priority service discipline: the overloaded case. (English) Zbl 1536.90051 Li, Quan-Lin (ed.) et al., Stochastic models in reliability, network security and system safety. Essays dedicated to Professor Jinhua Cao on the occasion of his 80th birthday. Singapore: Springer. Commun. Comput. Inf. Sci. 1102, 315-343 (2019). MSC: 90B22 60K25 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yonghong; Wang, Weina Local Strassen’s law of the iterated logarithm for increments of a Brownian motion in Hölder norm. (Chinese. English summary) Zbl 1438.60048 Adv. Math., Beijing 48, No. 1, 121-127 (2019). MSC: 60F17 60F15 60J65 × Cite Format Result Cite Review PDF
Liu, Yonghong; Mo, Yongxiang Chung’s functional law of the iterated logarithm for increments of a fractional Brownian motion. (English) Zbl 1481.60076 J. Theor. Probab. 32, No. 2, 721-736 (2019). MSC: 60F17 60F15 60G22 × Cite Format Result Cite Review PDF Full Text: DOI
De Lima, Amanda; Smania, Daniel Central limit theorem for generalized Weierstrass functions. (English) Zbl 1409.37028 Stoch. Dyn. 19, No. 1, Article ID 1950002, 18 p. (2019). Reviewer: Peter Massopust (München) MSC: 37C30 37C40 26A15 26A27 60F05 37A05 37E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ibragimov, I. A.; Lifshits, M. A.; Nazarov, A. I.; Zaporozhets, D. N. On the history of St. Petersburg school of probability and mathematical statistics. II: Random processes and dependent variables. (English. Russian original) Zbl 1433.01023 Vestn. St. Petersbg. Univ., Math. 51, No. 3, 213-236 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 3, 367-401 (2018). Reviewer: Symon Serbenyuk (Kyiv) MSC: 01A72 60-03 × Cite Format Result Cite Review PDF Full Text: DOI
Glinyanaya, E. V.; Fomichov, V. V. Limit theorems for the number of clusters of the Arratia flow. (English) Zbl 1438.60023 Theory Stoch. Process. 23, No. 2, 33-40 (2018). MSC: 60F05 60F17 60G55 60G60 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Ilienko, A.; Molchanov, I. Limit theorems for multidimensional renewal sets. (English) Zbl 1438.60038 Acta Math. Hung. 156, No. 1, 56-81 (2018). MSC: 60F15 60F17 60K05 60G60 60D05 60G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Yonghong; Li, Dongsheng; Li, Fengbing; Jiang, Miao Chung’s functional law of the iterated logarithm for increments of a Brownian motion with respect to \(\left ({r,p} \right)\)-capacities on an abstract Wiener space. (English) Zbl 1413.60026 Adv. Math., Beijing 47, No. 2, 277-286 (2018). MSC: 60F17 60J65 × Cite Format Result Cite Review PDF
Vasudeva, R. Functional law of the iterated logarithm for partial sum processes of non-negative valued iid random variables belonging to the domain of partial attraction of a semi-stable law. (English) Zbl 1398.60050 Stat. Probab. Lett. 137, 34-39 (2018). MSC: 60F15 60F17 60G17 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Yongjiang; Liu, Yunan; Pei, Renhu Functional law of the iterated logarithm for multi-server queues with batch arrivals and customer feedback. (English) Zbl 1391.90186 Ann. Oper. Res. 264, No. 1-2, 157-191 (2018). MSC: 90B22 × Cite Format Result Cite Review PDF Full Text: DOI
Bae, Jongsig; Hwang, Changha; Jun, Doobae The laws of the iterated logarithm for the tent map. (English) Zbl 1382.60057 Commun. Korean Math. Soc. 32, No. 4, 1067-1076 (2017). MSC: 60F17 37A50 37E05 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Yongjiang; Hou, Xiyang Strong approximation method and the (functional) law of iterated logarithm for \(GI/G/1\) queue. (English) Zbl 1394.60091 J. Syst. Sci. Complex. 30, No. 5, 1097-1106 (2017). MSC: 60K25 60F17 90B20 × Cite Format Result Cite Review PDF Full Text: DOI
Richard, Alexandre Some singular sample path properties of a multiparameter fractional Brownian motion. (English) Zbl 1408.60026 J. Theor. Probab. 30, No. 4, 1285-1309 (2017). MSC: 60F17 60G22 60G60 60G17 60G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Wang, Wen-Sheng Chung-type law of the iterated logarithm for continuous time random walk. (English) Zbl 1386.60167 Acta Math. Appl. Sin., Engl. Ser. 33, No. 4, 959-966 (2017). MSC: 60G50 60K40 60F17 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Yongjiang; Li, Zhongzhi Asymptotic variability analysis for a two-stage tandem queue. II: The law of the iterated logarithm. (English) Zbl 1383.60080 J. Math. Anal. Appl. 450, No. 2, 1510-1534 (2017). MSC: 60K25 90B22 60F17 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Yongjiang; Li, Zhongzhi Asymptotic variability analysis for a two-stage tandem queue. I: The functional law of the iterated logarithm. (English) Zbl 1383.60079 J. Math. Anal. Appl. 450, No. 2, 1479-1509 (2017). MSC: 60K25 90B22 60F17 × Cite Format Result Cite Review PDF Full Text: DOI
Cuny, Christophe Invariance principles under the Maxwell-Woodroofe condition in Banach spaces. (English) Zbl 1374.60060 Ann. Probab. 45, No. 3, 1578-1611 (2017). Reviewer: Dominique Lepingle (Orléans) MSC: 60F17 60F25 60B12 37A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Franke, Brice; Pène, Françoise; Wendler, Martin Stable limit theorem for \(U\)-statistic processes indexed by a random walk. (English) Zbl 1357.60025 Electron. Commun. Probab. 22, Paper No. 9, 12 p. (2017). MSC: 60F05 60F17 60F15 60G50 60K37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander; Shevchenko, Georgiy Fractionally integrated inverse stable subordinators. (English) Zbl 1353.60032 Stochastic Processes Appl. 127, No. 1, 80-106 (2017). MSC: 60F17 60F15 60G52 60K05 60G17 60G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iksanov, Alexander; Kabluchko, Zakhar A central limit theorem and a law of the iterated logarithm for the Biggins martingale of the supercritical branching random walk. (English) Zbl 1356.60055 J. Appl. Probab. 53, No. 4, 1178-1192 (2016). MSC: 60F17 60F05 60F15 60J80 60G50 60G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Dümbgen, Lutz; Wellner, Jon A.; Wolff, Malcolm A law of the iterated logarithm for Grenander’s estimator. (English) Zbl 1351.60032 Stochastic Processes Appl. 126, No. 12, 3854-3864 (2016). MSC: 60F15 60F17 62F12 62G20 62E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hille, Sander; Horbacz, Katarzyna; Szarek, Tomasz; Wojewódka, Hanna Law of the iterated logarithm for some Markov operators. (English) Zbl 1345.60023 Asymptotic Anal. 97, No. 1-2, 91-112 (2016). MSC: 60F15 60F17 60J25 92C37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giraudo, Davide Integrability conditions on coboundary and transfer function for limit theorems. (English) Zbl 1337.60041 ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 1, 399-415 (2016). MSC: 60F17 60F15 60F05 60G10 60G42 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Minkevičius, Saulius; Dolgopolovas, Vladimiras; Sakalauskas, Leonidas L. A law of the iterated logarithm for the sojourn time process in queues in series. (English) Zbl 1336.60179 Methodol. Comput. Appl. Probab. 18, No. 1, 37-57 (2016). MSC: 60K25 60F15 60F17 60G70 90B22 68M20 65C05 × Cite Format Result Cite Review PDF Full Text: DOI
Aneiros, Germán; Ling, Nengxiang; Vieu, Philippe Error variance estimation in semi-functional partially linear regression models. (English) Zbl 1327.62189 J. Nonparametric Stat. 27, No. 3, 316-330 (2015). MSC: 62G05 62F12 × Cite Format Result Cite Review PDF Full Text: DOI
Logachov, Artem V. The functional law of iterated logarithm for Itô stochastic integrals. (English. Ukrainian original) Zbl 1327.60084 J. Math. Sci., New York 207, No. 1, 47-58 (2015); translation from Ukr. Mat. Visn. 11, No. 4, 508-523 (2014). MSC: 60F17 60F15 60H05 60F10 60K37 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, PanYu; Chen, ZengJing Invariance principles for the law of the iterated logarithm under \(G\)-framework. (English) Zbl 1327.60087 Sci. China, Math. 58, No. 6, 1251-1264 (2015). MSC: 60F17 60F15 60G50 60J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Ran; Xu, Lihu Asymptotics of the entropy production rate for \(d\)-dimensional Ornstein-Uhlenbeck processes. (English) Zbl 1329.60048 J. Stat. Phys. 160, No. 5, 1336-1353 (2015). MSC: 60F05 60F99 60F10 60F15 60J60 60G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ait Ouahra, M.; Sghir, A. A law of the iterated logarithm for some additive functionals of symmetric stable process via the strong approximation. (English) Zbl 1325.60033 Stoch. Models 31, No. 3, 351-360 (2015). MSC: 60F15 60F17 60G52 60J55 60G18 × Cite Format Result Cite Review PDF Full Text: DOI
Tse, S. M. The cumulative quantile regression function with censored and truncated response. (English) Zbl 1335.60043 Math. Methods Stat. 24, No. 2, 147-155 (2015). MSC: 60F15 60F17 60G15 62G05 62G30 × Cite Format Result Cite Review PDF Full Text: DOI
Ren, Jiagang; Wu, Jing; Zhang, Hua General large deviations and functional iterated logarithm law for multivalued stochastic differential equations. (English) Zbl 1327.60121 J. Theor. Probab. 28, No. 2, 550-586 (2015). MSC: 60H10 60F10 60H99 60F17 60F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Li-Xin Donsker’s invariance principle under the sub-linear expectation with an application to Chung’s law of the iterated logarithm. (English) Zbl 1321.60067 Commun. Math. Stat. 3, No. 2, 187-214 (2015). MSC: 60F17 60F15 60F05 60F99 60F10 60G48 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schnellmann, Daniel Law of iterated logarithm and invariance principle for one-parameter families of interval maps. (English) Zbl 1351.37008 Probab. Theory Relat. Fields 162, No. 1-2, 365-409 (2015). MSC: 37A10 37E05 60F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cuny, Christophe A compact LIL for martingales in \(2\)-smooth Banach spaces with applications. (English) Zbl 1321.60057 Bernoulli 21, No. 1, 374-400 (2015). Reviewer: Neville Weber (Sydney) MSC: 60F15 60F17 60G42 60B12 60G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Bouzebda, S.; Zari, T. Strong approximation of multidimensional \(\mathbb P\)-\(\mathbb P\) plots processes by Gaussian processes with applications to statistical tests. (English) Zbl 1314.60086 Math. Methods Stat. 23, No. 3, 210-238 (2014). MSC: 60F17 60G15 60G09 60F15 60F05 60E05 62G30 62G07 62G10 × Cite Format Result Cite Review PDF Full Text: DOI
Tze, S. M. Concentration curve for truncated and censored data. (English) Zbl 1321.60060 Math. Methods Stat. 23, No. 2, 151-157 (2014). MSC: 60F15 60F17 60G15 60G17 62G05 62G30 × Cite Format Result Cite Review PDF Full Text: DOI
Zinchenko, N. M. Strong limit theorems for the risk process with stochastic premiums. (English) Zbl 1321.60062 Markov Process. Relat. Fields 20, No. 3, 527-544 (2014). Reviewer: Petr Lachout (Praha) MSC: 60F15 60F17 60G50 60G52 91B30 62P05 × Cite Format Result Cite Review PDF
Raseta, M. On lacunary series with random gaps. (English) Zbl 1324.60045 Acta Math. Hung. 144, No. 1, 150-161 (2014). Reviewer: Christoph Aistleitner (Linz) MSC: 60F17 42A55 42A61 × Cite Format Result Cite Review PDF
Zhang, Lixin A Gaussian process approximation for two-color randomly reinforced urns. (English) Zbl 1317.60040 Electron. J. Probab. 19, Paper No. 86, 19 p. (2014). MSC: 60G15 60F15 60F17 60F05 60F10 62G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Wen Sheng A LIL and limit distributions for trimmed sums of random vectors attracted to operator semi-stable laws. (English) Zbl 1307.60029 Acta Math. Sin., Engl. Ser. 30, No. 9, 1555-1565 (2014). MSC: 60F17 60F15 60G50 60K40 × Cite Format Result Cite Review PDF Full Text: DOI
N’Zi, Modeste; Dakaou, Ibrahim Functional law of the iterated logarithm for backward stochastic differential equations. (English) Zbl 1298.60037 Random Oper. Stoch. Equ. 22, No. 2, 93-98 (2014). MSC: 60F10 60F17 60H10 × Cite Format Result Cite Review PDF Full Text: DOI
Krykun, I. H. Functional law of the iterated logarithm type for a skew Brownian motion. (English. Ukrainian original) Zbl 1309.60031 Theory Probab. Math. Stat. 87, 79-98 (2013); translation from Teor. Jmovirn. Mat. Stat. 87, 71-88 (2012). MSC: 60F17 60F15 60F10 60J65 × Cite Format Result Cite Review PDF Full Text: DOI
Guillotin-Plantard, Nadine; Hu, Yueyun; Schapira, Bruno The quenched limiting distributions of a one-dimensional random walk in random scenery. (English) Zbl 1329.60027 Electron. Commun. Probab. 18, Paper No. 85, 7 p. (2013). MSC: 60F05 60K37 60G50 60F17 60F15 60J65 60G52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Wei; Gan, Shixin Asymptotic behavior of moving average processes associated to heavy-tailed distributions. (Chinese. English summary) Zbl 1299.60037 Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 4, 787-792 (2013). MSC: 60F15 60F17 × Cite Format Result Cite Review PDF
Fu, Keang A note on strong approximation for trimmed sums. (Chinese. English summary) Zbl 1289.60033 Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 2, 267-275 (2013). MSC: 60F15 60F17 × Cite Format Result Cite Review PDF
Minkevičius, S. About cumulative idle time model of the message switching system. (English) Zbl 1302.60124 Cubo 15, No. 2, 53-63 (2013). Reviewer: Hans Daduna (Hamburg) MSC: 60K25 60F17 × Cite Format Result Cite Review PDF Full Text: Link
Cheliotis, Dimitris; Virág, Bálint Patterns in Sinai’s walk. (English) Zbl 1300.60116 Ann. Probab. 41, No. 3B, 1900-1937 (2013). Reviewer: Mihai Gradinaru (Rennes) MSC: 60K37 60F17 60F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Appleby, John A. D.; Riedle, Markus; Swords, Catherine Bubbles and crashes in a Black-Scholes model with delay. (English) Zbl 1256.91060 Finance Stoch. 17, No. 1, 1-30 (2013). MSC: 91G50 91B26 91B70 34K50 34K25 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Yongjiang; Huang, Junfei Functional law of iterated logarithm for single server queue with Bernoulli feedback. (Chinese. English summary) Zbl 1274.90098 Acta Math. Appl. Sin. 35, No. 4, 586-594 (2012). MSC: 90B22 60K25 60F17 × Cite Format Result Cite Review PDF
Tse, S. M. The cumulative quantile regression function with censored and truncated covariate. (English) Zbl 1295.60037 Math. Methods Stat. 21, No. 3, 238-249 (2012). MSC: 60F15 60F17 62G05 62G30 × Cite Format Result Cite Review PDF Full Text: DOI
Haydn, Nicolai The central limit theorem for uniformly strong mixing measures. (English) Zbl 1318.60030 Stoch. Dyn. 12, No. 4, Paper No. 1250006, 31 p. (2012). MSC: 60F05 60F17 60F15 37A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bołt, W.; Majewski, A. A.; Szarek, T. An invariance principle for the law of the iterated logarithm for some Markov chains. (English) Zbl 1280.60043 Stud. Math. 212, No. 1, 41-53 (2012). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60J05 60F17 60F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Merlevède, Florence; Peligrad, Costel; Peligrad, Magda Almost sure invariance principles via martingale approximation. (English) Zbl 1230.60029 Stochastic Processes Appl. 122, No. 1, 170-190 (2012). MSC: 60F15 60F05 60J05 60F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fan, Xiaoming The a.s. well-posedness of stochastic delay differential equations with white noise. (English) Zbl 1388.34073 Far East J. Math. Sci. (FJMS) 57, No. 2, 153-170 (2011). MSC: 34K50 34K38 60H10 × Cite Format Result Cite Review PDF Full Text: Link
Budkov, D. S.; Makhno, S. Ya. Law of the iterated logarithm for solutions of stochastic equations. (English. Russian original) Zbl 1251.60027 Theory Probab. Math. Stat. 83, 47-57 (2011); translation from Teor. Jmovirn. Mat. Stat. 83, 39-48 (2010). MSC: 60F17 60F10 × Cite Format Result Cite Review PDF Full Text: DOI
Buchmann, Boris; Maller, Ross The small-time Chung-Wichura law for Lévy processes with non-vanishing Brownian component. (English) Zbl 1232.60035 Probab. Theory Relat. Fields 149, No. 1-2, 303-330 (2011). Reviewer: Alexander Schnurr (Dortmund) MSC: 60G51 60F15 60F17 60F05 60J65 60J75 × Cite Format Result Cite Review PDF Full Text: DOI Link
Minkevičius, Saulius; Dolgopolovas, Vladimiras Analysis of the law of the iterated logarithm for the idle time of a customer in multiphase queues. (English) Zbl 1215.60053 Int. J. Pure Appl. Math. 66, No. 2, 183-190 (2011). MSC: 60K25 60G70 60F17 × Cite Format Result Cite Review PDF
Minkevičius, Saulius; Dolgopolovas, Vladimiras Investigation of the fluid limits for multiphase queues in heavy traffic. (English) Zbl 1215.60052 Int. J. Pure Appl. Math. 66, No. 2, 177-182 (2011). MSC: 60K25 60G70 60F17 × Cite Format Result Cite Review PDF
Fu, Ke-Ang An almost sure invariance principle for trimmed sums of random vectors. (English) Zbl 1271.60051 Proc. Indian Acad. Sci., Math. Sci. 120, No. 5, 611-618 (2010). MSC: 60F17 × Cite Format Result Cite Review PDF Full Text: DOI
Minkevičius, Saulius Modelling the law of the iterated logarithm in open queueing networks. (English) Zbl 1215.60054 Int. J. Pure Appl. Math. 63, No. 4, 487-494 (2010). MSC: 60K25 60G70 60F17 × Cite Format Result Cite Review PDF
Aistleitner, Christoph; Berkes, István; Tichy, Robert Lacunary sequences and permutations. (English) Zbl 1219.60002 Berkes, István (ed.) et al., Dependence in probability, analysis and number theory. A volume in memory of Walter Philipp. Most papers based on the presentations at the conference, Graz, Austria, June 17–20, 2009. Heber City, UT: Kendrick Press (ISBN 0-9793183-8-6/pbk). 35-49 (2010). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60-02 60F05 60F17 × Cite Format Result Cite Review PDF Full Text: arXiv
Dedecker, J.; Gouëzel, S.; Merlevède, F. Some almost sure results for unbounded functions of intermittent maps and their associated Markov chains. (English) Zbl 1206.60032 Ann. Inst. Henri Poincaré, Probab. Stat. 46, No. 3, 796-821 (2010). Reviewer: Ferenc Móricz (Szeged) MSC: 60F15 60F17 37E05 37C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Lachal, Aimé; Simon, Thomas Chung’s law for homogeneous Brownian functionals. (English) Zbl 1210.60029 Rocky Mt. J. Math. 40, No. 2, 561-579 (2010). Reviewer: Josef Steinebach (Köln) MSC: 60F10 60F15 60J55 60J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Chihoon \(V\)-uniform ergodicity for state-dependent single class queueing networks. (English) Zbl 1191.60102 Queueing Syst. 65, No. 1, 93-108 (2010). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K25 60F17 93E15 × Cite Format Result Cite Review PDF Full Text: DOI
Tse, S. M. On the cumulative quantile regression process. (English) Zbl 1282.60036 Math. Methods Stat. 18, No. 3, 270-279 (2009). MSC: 60F15 60F17 62G05 62G30 × Cite Format Result Cite Review PDF Full Text: DOI
Sridharan, Shrihari Statistical properties of hyperbolic Julia sets. (English) Zbl 1208.37029 Differ. Geom. Dyn. Syst. 11, 175-184 (2009). Reviewer: Helena Mihaljevic-Brandt (Berlin) MSC: 37F10 60F17 37F15 60J65 37J50 × Cite Format Result Cite Review PDF
Yang, Qingshan; Gao, Fuqing Functional laws of the iterated logarithm for a Lévy area with Poisson martingale measure. (Chinese. English summary) Zbl 1199.60067 Math. Appl. 22, No. 1, 185-190 (2009). MSC: 60F10 60F17 × Cite Format Result Cite Review PDF
Dehling, Herold André Dabrowski’s work on limit theorems and weak dependence. (English) Zbl 1195.60048 Can. J. Stat. 37, No. 3, 307-326 (2009). MSC: 60F17 60B12 60E07 60E15 60F05 60F15 60G55 60G70 60J25 60J60 62F12 62G32 92E20 01A70 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Fu Qing Laws of the iterated logarithm for locally square integrable martingales. (English) Zbl 1239.60023 Acta Math. Sin., Engl. Ser. 25, No. 2, 209-222 (2009). MSC: 60F15 60G44 60F17 60G42 × Cite Format Result Cite Review PDF Full Text: DOI
Musin, M. M. The law of the iterated logarithm for sums of exponentially stabilizing functionals. (English. Russian original) Zbl 1175.60026 Math. Notes 85, No. 2, 215-225 (2009); translation from Mat. Zametki 85, No. 2, 234-245 (2009). MSC: 60F15 × Cite Format Result Cite Review PDF Full Text: DOI
Berlinet, Alain Reproducing kernels in probability and statistics. (English) Zbl 1187.46021 Begehr, H. G. W. (ed.) et al., More progresses in analysis. Proceedings of the 5th international ISAAC congress, Catania, Italy, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-283-562-8/hbk). 153-162 (2009). MSC: 46E22 60B11 62G05 46N30 × Cite Format Result Cite Review PDF
Zinchenko, Nadiia; Andrusiv, Andrii Risk process with stochastic premiums. (English) Zbl 1224.91102 Theory Stoch. Process. 14, No. 3-4, 189-208 (2008). Reviewer: A. D. Borisenko (Kyïv) MSC: 91B30 60F17 60F15 60G52 60G50 × Cite Format Result Cite Review PDF
Guo, Yongjiang Convergence rate of fluid approximation for Jackson network with multi-server in heavy traffic. (Chinese. English summary) Zbl 1183.90115 J. Syst. Sci. Math. Sci. 28, No. 9, 1118-1133 (2008). MSC: 90B22 60K25 68M20 × Cite Format Result Cite Review PDF