Gouëzel, Sébastien Variations around Eagleson’s theorem on mixing limit theorems for dynamical systems. (English) Zbl 07270093 Ergodic Theory Dyn. Syst. 40, No. 12, 3368-3374 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 37A30 37A25 37A05 37A10 37A50 PDF BibTeX XML Cite \textit{S. Gouëzel}, Ergodic Theory Dyn. Syst. 40, No. 12, 3368--3374 (2020; Zbl 07270093) Full Text: DOI
Conze, Jean-Pierre; Isola, Stefano; Le Borgne, Stéphane Diffusive behavior of ergodic sums over rotations. (English) Zbl 07073211 Stoch. Dyn. 19, No. 2, Article ID 1950016, 26 p. (2019). MSC: 11A55 42A55 60F05 60F17 37D50 PDF BibTeX XML Cite \textit{J.-P. Conze} et al., Stoch. Dyn. 19, No. 2, Article ID 1950016, 26 p. (2019; Zbl 07073211) Full Text: DOI
Bayraktar, Turgay Almost sure invariance principle for non-autonomous holomorphic dynamics in \(\mathbb P^k\). (English) Zbl 1398.37040 Conform. Geom. Dyn. 22, 45-61 (2018). MSC: 37F10 60F17 32H50 PDF BibTeX XML Cite \textit{T. Bayraktar}, Conform. Geom. Dyn. 22, 45--61 (2018; Zbl 1398.37040) Full Text: DOI
Dragičević, D.; Froyland, G.; González-Tokman, C.; Vaienti, S. Almost sure invariance principle for random piecewise expanding maps. (English) Zbl 1391.37007 Nonlinearity 31, No. 5, 2252-2280 (2018). MSC: 37A50 37H10 37D05 37C30 60F17 PDF BibTeX XML Cite \textit{D. Dragičević} et al., Nonlinearity 31, No. 5, 2252--2280 (2018; Zbl 1391.37007) Full Text: DOI
Oprisan, Adina An invariance principle for additive functionals of semi-Markov processes. (English) Zbl 1383.60031 Rykov, Vladimir V. (ed.) et al., Analytical and computational methods in probability theory. First international conference, ACMPT 2017, Moscow, Russia, October 23–27, 2017. Proceedings. Cham: Springer (ISBN 978-3-319-71503-2/pbk; 978-3-319-71504-9/ebook). Lecture Notes in Computer Science 10684, 409-420 (2017). MSC: 60F17 60J55 60K15 PDF BibTeX XML Cite \textit{A. Oprisan}, Lect. Notes Comput. Sci. 10684, 409--420 (2017; Zbl 1383.60031) Full Text: DOI
Zhang, Yang; Zhang, Li-Xin On the almost sure invariance principle for dependent Bernoulli random variables. (English) Zbl 1329.60081 Stat. Probab. Lett. 107, 264-271 (2015). MSC: 60F17 60F15 60F05 60G15 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{L.-X. Zhang}, Stat. Probab. Lett. 107, 264--271 (2015; Zbl 1329.60081) Full Text: DOI
Haydn, Nicolai The almost sure invariance principle for beta-mixing measures. (English) Zbl 1328.82005 J. Stat. Phys. 159, No. 2, 231-254 (2015). MSC: 82B05 60F05 37A60 PDF BibTeX XML Cite \textit{N. Haydn}, J. Stat. Phys. 159, No. 2, 231--254 (2015; Zbl 1328.82005) Full Text: DOI
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 PDF BibTeX XML Cite \textit{D. Schnellmann}, Probab. Theory Relat. Fields 162, No. 1--2, 365--409 (2015; Zbl 1351.37008) Full Text: DOI arXiv
Zinchenko, Nadiia Almost sure approximation of the superposition of the random processes. (English) Zbl 1316.60044 Methodol. Comput. Appl. Probab. 17, No. 1, 235-250 (2015). Reviewer: Edward Omey (Brussel) MSC: 60F15 60F17 60G51 60G52 60G50 60K05 60K25 60K10 91B30 PDF BibTeX XML Cite \textit{N. Zinchenko}, Methodol. Comput. Appl. Probab. 17, No. 1, 235--250 (2015; Zbl 1316.60044) 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 PDF BibTeX XML Cite \textit{N. M. Zinchenko}, Markov Process. Relat. Fields 20, No. 3, 527--544 (2014; Zbl 1321.60062)
Stenlund, Mikko; Sulku, Henri A coupling approach to random circle maps expanding on the average. (English) Zbl 1327.37012 Stoch. Dyn. 14, No. 4, Article ID 1450008, 29 p. (2014). Reviewer: Pengfei Zhang (Oxford, MS) MSC: 37D25 60F17 60J10 PDF BibTeX XML Cite \textit{M. Stenlund} and \textit{H. Sulku}, Stoch. Dyn. 14, No. 4, Article ID 1450008, 29 p. (2014; Zbl 1327.37012) Full Text: DOI arXiv
Stenlund, Mikko A vector-valued almost sure invariance principle for Sinai billiards with random scatterers. (English) Zbl 1296.37028 Commun. Math. Phys. 325, No. 3, 879-916 (2014). Reviewer: Hongkun Zhang (Amherst) MSC: 37D50 PDF BibTeX XML Cite \textit{M. Stenlund}, Commun. Math. Phys. 325, No. 3, 879--916 (2014; Zbl 1296.37028) Full Text: DOI arXiv
Qiu, Jin; Lu, Chuanrong The asymptotic properties and almost sure central limit theorems for the products of a class of statistics. (Chinese. English summary) Zbl 1299.60017 Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 3, 475-482 (2013). MSC: 60F05 PDF BibTeX XML Cite \textit{J. Qiu} and \textit{C. Lu}, Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 3, 475--482 (2013; Zbl 1299.60017)
Alves, José F.; Schnellmann, Daniel Ergodic properties of Viana-like maps with singularities in the base dynamics. (English) Zbl 1297.37013 Proc. Am. Math. Soc. 141, No. 11, 3943-3955 (2013). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37D25 37C40 37A05 60F05 60F10 37A25 PDF BibTeX XML Cite \textit{J. F. Alves} and \textit{D. Schnellmann}, Proc. Am. Math. Soc. 141, No. 11, 3943--3955 (2013; Zbl 1297.37013) Full Text: DOI
Dedecker, Jérôme; Merlevède, Florence; Pène, Françoise Rates of convergence in the strong invariance principle for non-adapted sequences application to ergodic automorphisms of the torus. (English) Zbl 1278.60064 Houdré, Christian (ed.) et al., High dimensional probability VI. The Banff volume. Proceedings of the sixth high dimensional probability conference (HDP VI), Banff, Canada, October 9–14, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0489-9/hbk; 978-3-0348-0490-5/ebook). Progress in Probability 66, 113-138 (2013). Reviewer: Nikolai N. Leonenko (Cardiff) MSC: 60F17 37D30 60F15 60F99 PDF BibTeX XML Cite \textit{J. Dedecker} et al., Prog. Probab. 66, 113--138 (2013; Zbl 1278.60064) Full Text: DOI
Dedecker, Jérôme; Doukhan, Paul; Merlevède, Florence Rates of convergence in the strong invariance principle under projective criteria. (English) Zbl 1245.60040 Electron. J. Probab. 17, Paper No. 16, 31 p. (2012). MSC: 60F17 PDF BibTeX XML Cite \textit{J. Dedecker} et al., Electron. J. Probab. 17, Paper No. 16, 31 p. (2012; Zbl 1245.60040) Full Text: DOI arXiv
Fisher, Albert M.; Talet, Marina Dynamical attraction to stable processes. (English. French summary) Zbl 1246.37020 Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 2, 551-578 (2012). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 37A50 60F17 60G18 60G52 PDF BibTeX XML Cite \textit{A. M. Fisher} and \textit{M. Talet}, Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 2, 551--578 (2012; Zbl 1246.37020) Full Text: DOI Euclid
Merlevède, Florence; Rio, Emmanuel Strong approximation of partial sums under dependence conditions with application to dynamical systems. (English) Zbl 1230.60034 Stochastic Processes Appl. 122, No. 1, 386-417 (2012). MSC: 60F17 37E05 60F15 PDF BibTeX XML Cite \textit{F. Merlevède} and \textit{E. Rio}, Stochastic Processes Appl. 122, No. 1, 386--417 (2012; Zbl 1230.60034) Full Text: DOI arXiv
Fisher, Albert Meads; Talet, Marina The self-similar dynamics of renewal processes. (English) Zbl 1225.60143 Electron. J. Probab. 16, Paper No. 31, 929-961 (2011). MSC: 60K05 37A50 60F17 60G18 60G52 PDF BibTeX XML Cite \textit{A. M. Fisher} and \textit{M. Talet}, Electron. J. Probab. 16, Paper No. 31, 929--961 (2011; Zbl 1225.60143) Full Text: DOI EMIS
Gonchigdanzan, Khurelbaatar Almost sure functional limit theorem for the product of partial sums. (English) Zbl 1213.60060 ESAIM, Probab. Stat. 14, 338-342 (2010). MSC: 60F15 60F17 PDF BibTeX XML Cite \textit{K. Gonchigdanzan}, ESAIM, Probab. Stat. 14, 338--342 (2010; Zbl 1213.60060) Full Text: DOI EuDML
Dedecker, Jérôme; Merlevède, Florence On the almost sure invariance principle for stationary sequences of Hilbert-valued random variables. (English) Zbl 1229.60037 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). 157-175 (2010). Reviewer: Ludger Rüschendorf (Freiburg i. Br.) MSC: 60F17 60G10 PDF BibTeX XML Cite \textit{J. Dedecker} and \textit{F. Merlevède}, in: 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. 157--175 (2010; Zbl 1229.60037)
Xia, Hongqiang Invariance principles for meromorphic functions of finite order. (Chinese. English summary) Zbl 1224.30146 Chin. Ann. Math., Ser. A 31, No. 1, 99-106 (2010). MSC: 30D30 60F17 PDF BibTeX XML Cite \textit{H. Xia}, Chin. Ann. Math., Ser. A 31, No. 1, 99--106 (2010; Zbl 1224.30146)
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 PDF BibTeX XML Cite \textit{J. Dedecker} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 46, No. 3, 796--821 (2010; Zbl 1206.60032) Full Text: DOI EuDML
Gouëzel, Sébastien Almost sure invariance principle for dynamical systems by spectral methods. (English) Zbl 1207.60026 Ann. Probab. 38, No. 4, 1639-1671 (2010). Reviewer: Nikolai N. Leonenko (Cardiff) MSC: 60F17 37C30 60G10 60F15 60J05 PDF BibTeX XML Cite \textit{S. Gouëzel}, Ann. Probab. 38, No. 4, 1639--1671 (2010; Zbl 1207.60026) Full Text: DOI arXiv
Alves, José F.; Pinheiro, Vilton Gibbs-Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction. (English) Zbl 1185.37011 Adv. Math. 223, No. 5, 1706-1730 (2010). MSC: 37A25 37C05 37C40 37D25 37D30 PDF BibTeX XML Cite \textit{J. F. Alves} and \textit{V. Pinheiro}, Adv. Math. 223, No. 5, 1706--1730 (2010; Zbl 1185.37011) Full Text: DOI arXiv
Dupont, Christophe Bernoulli coding map and almost sure invariance principle for endomorphisms of \(\mathbb P^k\). (English) Zbl 1244.37028 Probab. Theory Relat. Fields 146, No. 3-4, 337-359 (2010). MSC: 37F10 37C40 60F17 PDF BibTeX XML Cite \textit{C. Dupont}, Probab. Theory Relat. Fields 146, No. 3--4, 337--359 (2010; Zbl 1244.37028) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{S. Sridharan}, Differ. Geom. Dyn. Syst. 11, 175--184 (2009; Zbl 1208.37029)
Sharipov, O. Sh. Laws of the iterated logarithm and an almost sure invariance principle for mixing \(B\)-valued random variables and autoregressive processes. (English) Zbl 1181.60047 Lith. Math. J. 49, No. 2, 203-215 (2009). MSC: 60F17 60F15 PDF BibTeX XML Cite \textit{O. Sh. Sharipov}, Lith. Math. J. 49, No. 2, 203--215 (2009; Zbl 1181.60047) Full Text: DOI
Melbourne, Ian; Nicol, Matthew A vector-valued almost sure invariance principle for hyperbolic dynamical systems. (English) Zbl 1176.37006 Ann. Probab. 37, No. 2, 478-505 (2009). Reviewer: Jacques Franchi (Strasbourg) MSC: 37A50 37D20 37D25 37D50 60F17 PDF BibTeX XML Cite \textit{I. Melbourne} and \textit{M. Nicol}, Ann. Probab. 37, No. 2, 478--505 (2009; Zbl 1176.37006) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{N. Zinchenko} and \textit{A. Andrusiv}, Theory Stoch. Process. 14, No. 3--4, 189--208 (2008; Zbl 1224.91102)
Bálint, Péter; Melbourne, Ian Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows. (English) Zbl 1161.82016 J. Stat. Phys. 133, No. 3, 435-447 (2008). MSC: 82C40 PDF BibTeX XML Cite \textit{P. Bálint} and \textit{I. Melbourne}, J. Stat. Phys. 133, No. 3, 435--447 (2008; Zbl 1161.82016) Full Text: DOI arXiv
Nagayama, Naoki Almost sure invariance principle for dynamical systems with stretched exponential mixing rates. (English) Zbl 1064.60050 Hiroshima Math. J. 34, No. 3, 371-411 (2005). MSC: 60F15 37D45 37D50 PDF BibTeX XML Cite \textit{N. Nagayama}, Hiroshima Math. J. 34, No. 3, 371--411 (2005; Zbl 1064.60050)
Field, Michael; Melbourne, Ian; Nicol, Matthew; Török, Andrei Statistical properties of compact group extensions of hyperbolic flows and their time one maps. (English) Zbl 1084.37004 Discrete Contin. Dyn. Syst. 12, No. 1, 79-96 (2005). MSC: 37A25 37A50 37D20 37C80 60F05 PDF BibTeX XML Cite \textit{M. Field} et al., Discrete Contin. Dyn. Syst. 12, No. 1, 79--96 (2005; Zbl 1084.37004) Full Text: DOI
Samur, Jorge D. A regularity condition and a limit theorem for Harris ergodic Markov chains. (English) Zbl 1087.60056 Stochastic Processes Appl. 111, No. 2, 207-235 (2004). Reviewer: V. Thangaraj MSC: 60J05 60F15 60F17 PDF BibTeX XML Cite \textit{J. D. Samur}, Stochastic Processes Appl. 111, No. 2, 207--235 (2004; Zbl 1087.60056) Full Text: DOI
Sharipov, O. Sh. Invariance principle for U-statistics and von Mises’ functionals of weakly dependent observations. (English. Russian original) Zbl 1057.60032 Theory Probab. Appl. 47, No. 4, 730-733 (2002); translation from Teor. Veroyatn. Primen. 47, No. 4, 814-817 (2003). Reviewer: Neville Weber (Sydney) MSC: 60F17 PDF BibTeX XML Cite \textit{O. Sh. Sharipov}, Theory Probab. Appl. 47, No. 4, 730--733 (2003; Zbl 1057.60032); translation from Teor. Veroyatn. Primen. 47, No. 4, 814--817 (2003) Full Text: DOI
Bass, Richard F.; Kumagai, Takashi Laws of the iterated logarithm for the range of random walks in two and three dimensions. (English) Zbl 1031.60031 Ann. Probab. 30, No. 3, 1369-1396 (2002). Reviewer: Nina Gantert (Karlsruhe) MSC: 60G50 60F15 60G17 60J10 PDF BibTeX XML Cite \textit{R. F. Bass} and \textit{T. Kumagai}, Ann. Probab. 30, No. 3, 1369--1396 (2002; Zbl 1031.60031) Full Text: DOI
Fahrner, Ingo A strong invariance principle for the logarithmic average of sample maxima. (English) Zbl 1053.60030 Stochastic Processes Appl. 93, No. 2, 317-337 (2001). MSC: 60F17 60G70 60F05 60F15 PDF BibTeX XML Cite \textit{I. Fahrner}, Stochastic Processes Appl. 93, No. 2, 317--337 (2001; Zbl 1053.60030) Full Text: DOI
Maaouia, Faïza Principes d’invariance par moyennisation logarithmique pour les processus de Markov. (Invariance principles with logarithmic averaging for Markov processes). (French) Zbl 1019.60020 Ann. Probab. 29, No. 4, 1859-1902 (2001). Reviewer: Herold Dehling (Bochum) MSC: 60F05 60F15 60F17 60J55 PDF BibTeX XML Cite \textit{F. Maaouia}, Ann. Probab. 29, No. 4, 1859--1902 (2001; Zbl 1019.60020) Full Text: DOI
Major, P. Almost sure functional limit theorems. II: The case of independent random variables. (English) Zbl 0993.60020 Stud. Sci. Math. Hung. 36, No. 1-2, 231-273 (2000). Reviewer: I.Fazekas (Debrecen) MSC: 60F05 28D05 60F17 PDF BibTeX XML Cite \textit{P. Major}, Stud. Sci. Math. Hung. 36, No. 1--2, 231--273 (2000; Zbl 0993.60020) Full Text: DOI
Ibragimov, I. A.; Lifshits, M. A. On almost sure limit theorems. (English. Russian original) Zbl 0970.60032 Theory Probab. Appl. 44, No. 2, 254-272 (1999); translation from Teor. Veroyatn. Primen. 44, No. 2, 328-350 (1999). Reviewer: Elisaveta Pancheva (Sofia) MSC: 60F15 60F17 60G50 PDF BibTeX XML Cite \textit{I. A. Ibragimov} and \textit{M. A. Lifshits}, Theory Probab. Appl. 44, No. 2, 254--272 (1999; Zbl 0970.60032); translation from Teor. Veroyatn. Primen. 44, No. 2, 328--350 (1999) Full Text: DOI
Chuprunov, Alexey; Fazekas, István Almost sure versions of some analogues of the invariance principle. (English) Zbl 0930.60017 Publ. Math. 54, No. 3-4, 457-471 (1999). Reviewer: Ludwig Paditz (Dresden) MSC: 60F17 PDF BibTeX XML Cite \textit{A. Chuprunov} and \textit{I. Fazekas}, Publ. Math. 54, No. 3--4, 457--471 (1999; Zbl 0930.60017)
Hamana, Yuji An almost sure invariance principle for the range of random walks. (English) Zbl 0934.60044 Stochastic Processes Appl. 78, No. 2, 131-143 (1998). Reviewer: I.Křivý (Ostrava) MSC: 60G50 60G15 60G17 60J65 PDF BibTeX XML Cite \textit{Y. Hamana}, Stochastic Processes Appl. 78, No. 2, 131--143 (1998; Zbl 0934.60044) Full Text: DOI
Heck, Matthias K. The principle of large deviations for almost everywhere central limit theorem. (English) Zbl 0934.60022 Stochastic Processes Appl. 76, No. 1, 61-75 (1998). Reviewer: P. Lachout (Praha) MSC: 60F10 60F15 PDF BibTeX XML Cite \textit{M. K. Heck}, Stochastic Processes Appl. 76, No. 1, 61--75 (1998; Zbl 0934.60022) Full Text: DOI
Major, P. Almost sure functional limit theorems. I: The general case. (English) Zbl 0921.60033 Stud. Sci. Math. Hung. 34, No. 1-3, 273-304 (1998). Reviewer: Tadeusz Inglot (Wroclaw) MSC: 60F17 60F15 60G18 28D05 PDF BibTeX XML Cite \textit{P. Major}, Stud. Sci. Math. Hung. 34, No. 1--3, 273--304 (1998; Zbl 0921.60033)
Zinchenko, Nadiya M. Asymptotic properties of stable processes and fields. (English) Zbl 0936.60026 Theory Stoch. Process. 3(19), No. 3-4, 491-500 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F15 60F17 60G60 PDF BibTeX XML Cite \textit{N. M. Zinchenko}, Theory Stoch. Process. 3(19), No. 3--4, 491--500 (1997; Zbl 0936.60026)
Sun, Shan; Chiang, Ching-Yuan Limiting behavior of the perturbed empirical distribution functions evaluated at \(U\)-statistics for strongly mixing sequences of random variables. (English) Zbl 0873.62050 J. Appl. Math. Stochastic Anal. 10, No. 1, 3-20 (1997). MSC: 62G20 62G30 60F17 60F15 62E20 PDF BibTeX XML Cite \textit{S. Sun} and \textit{C.-Y. Chiang}, J. Appl. Math. Stochastic Anal. 10, No. 1, 3--20 (1997; Zbl 0873.62050) Full Text: DOI EuDML
Dabrowski, André Robert; Fang, Youjian; Ivanoff, B. Gail Strong approximations for multiparameter martingales. (English) Zbl 0888.60032 Stochastics Stochastics Rep. 56, No. 3-4, 241-270 (1996). Reviewer: K.Kubilius (Vilnius) MSC: 60F15 60G42 60G60 60G48 PDF BibTeX XML Cite \textit{A. R. Dabrowski} et al., Stochastics Stochastics Rep. 56, No. 3--4, 241--270 (1996; Zbl 0888.60032) Full Text: DOI
Degenhardt, H. J. A. Strong limit theorems for the difference of the perturbed empirical distribution function and the classical empirical distribution function. (English) Zbl 0864.62031 Scand. J. Stat. 23, No. 3, 331-351 (1996). MSC: 62G30 60F17 60F15 62G20 PDF BibTeX XML Cite \textit{H. J. A. Degenhardt}, Scand. J. Stat. 23, No. 3, 331--351 (1996; Zbl 0864.62031)
Samur, Jorge D. Some remarks on a probability limit theorem for continued fractions. (English) Zbl 0863.11048 Trans. Am. Math. Soc. 348, No. 4, 1411-1428 (1996). Reviewer: L.Heinrich (Freiberg) MSC: 11K50 60F17 11K60 PDF BibTeX XML Cite \textit{J. D. Samur}, Trans. Am. Math. Soc. 348, No. 4, 1411--1428 (1996; Zbl 0863.11048) Full Text: DOI
Hurelbaatar, G. A strong approximation for logarithmic averages of partial sums of random variables. (English) Zbl 0846.60029 Period. Math. Hung. 31, No. 3, 189-200 (1995). MSC: 60F15 60F05 PDF BibTeX XML Cite \textit{G. Hurelbaatar}, Period. Math. Hung. 31, No. 3, 189--200 (1995; Zbl 0846.60029) Full Text: DOI
Kouritzin, Michael A. Strong approximation for cross-covariances of linear variables with long-range dependence. (English) Zbl 0841.60021 Stochastic Processes Appl. 60, No. 2, 343-353 (1995). MSC: 60F17 60F15 PDF BibTeX XML Cite \textit{M. A. Kouritzin}, Stochastic Processes Appl. 60, No. 2, 343--353 (1995; Zbl 0841.60021) Full Text: DOI
Shao, Qi-Man Strong approximation theorems for independent random variables and their applications. (English) Zbl 0817.60027 J. Multivariate Anal. 52, No. 1, 107-130 (1995). Reviewer: Su Chun (Hefei) MSC: 60F15 60F17 60G50 PDF BibTeX XML Cite \textit{Q.-M. Shao}, J. Multivariate Anal. 52, No. 1, 107--130 (1995; Zbl 0817.60027) Full Text: DOI
He, Xuming; Wang, Gang Law of the iterated logarithm and invariance principle for M-estimators. (English) Zbl 0855.62017 Proc. Am. Math. Soc. 123, No. 2, 563-573 (1995). MSC: 62F12 60F17 60F15 62H12 62F35 PDF BibTeX XML Cite \textit{X. He} and \textit{G. Wang}, Proc. Am. Math. Soc. 123, No. 2, 563--573 (1995; Zbl 0855.62017) Full Text: DOI
Heunis, Andrew Rates of convergence for an adaptive filtering algorithm driven by stationary dependent data. (English) Zbl 0789.60027 SIAM J. Control Optimization 32, No. 1, 116-139 (1994). MSC: 60F15 60F17 93E10 PDF BibTeX XML Cite \textit{A. Heunis}, SIAM J. Control Optim. 32, No. 1, 116--139 (1994; Zbl 0789.60027) Full Text: DOI
Kanagawa, S.; Yoshihara, K. The almost sure invariance principles of degenerate \(U\)-statistics of degree two for stationary random variables. (English) Zbl 0805.60026 Stochastic Processes Appl. 49, No. 2, 347-356 (1994). Reviewer: H.Dehling (Groningen) MSC: 60F17 60F15 62G20 PDF BibTeX XML Cite \textit{S. Kanagawa} and \textit{K. Yoshihara}, Stochastic Processes Appl. 49, No. 2, 347--356 (1994; Zbl 0805.60026) Full Text: DOI
Shao, Qi-Man Almost sure invariance principles for mixing sequences of random variables. (English) Zbl 0793.60038 Stochastic Processes Appl. 48, No. 2, 319-334 (1993). Reviewer: S.A.Solntsev (Kiev) MSC: 60F17 60F15 PDF BibTeX XML Cite \textit{Q.-M. Shao}, Stochastic Processes Appl. 48, No. 2, 319--334 (1993; Zbl 0793.60038) Full Text: DOI
Frolíková, Ivana Robbins-Monro stochastic approximation procedure with delayed observations. (English) Zbl 0788.62076 Information theory, statistical decision functions, random processes, Trans. 11th Prague Conf., Prague/Czech. 1990, Vol. A, 419-427 (1992). Reviewer: T.Fiala (Praha) MSC: 62L20 60F17 PDF BibTeX XML Cite \textit{I. Frolíková}, in: Information theory, statistical decision functions, random processes. Transactions of the 11th Prague conference, held from August 27-31, 1990 in Prague, Czechoslovakia. Volume A. Dordrecht: Kluwer Academic Publishers. 419--427 (1992; Zbl 0788.62076)
Fisher, Evan A Skorohod representation and an invariance principle for sums of weighted i.i.d. random variables. (English) Zbl 0758.60032 Rocky Mt. J. Math. 22, No. 1, 169-179 (1992). Reviewer: L.Heinrich (Freiberg) MSC: 60F17 60F15 60G50 PDF BibTeX XML Cite \textit{E. Fisher}, Rocky Mt. J. Math. 22, No. 1, 169--179 (1992; Zbl 0758.60032) Full Text: DOI
Besdziek, N. Strong approximations of semimartingales by processes with independent increments. (English) Zbl 0719.60029 Probab. Theory Relat. Fields 87, No. 4, 489-520 (1991). Reviewer: C.C.Heyde (Canberra) MSC: 60F15 60G42 60J99 PDF BibTeX XML Cite \textit{N. Besdziek}, Probab. Theory Relat. Fields 87, No. 4, 489--520 (1991; Zbl 0719.60029) Full Text: DOI
Berger, Erich An almost sure invariance principle for stationary ergodic sequences of Banach space valued random variables. (English) Zbl 0695.60041 Probab. Theory Relat. Fields 84, No. 2, 161-201 (1990). Reviewer: C.C.Heyde MSC: 60F17 PDF BibTeX XML Cite \textit{E. Berger}, Probab. Theory Relat. Fields 84, No. 2, 161--201 (1990; Zbl 0695.60041) Full Text: DOI
Lea, Cheun-Der; Puri, Madan L. Asymptotic properties of linear functions of order statistics. (English) Zbl 0652.62015 J. Stat. Plann. Inference 18, No. 2, 203-223 (1988). Reviewer: J.Galambos MSC: 62E20 62G30 60F17 PDF BibTeX XML Cite \textit{C.-D. Lea} and \textit{M. L. Puri}, J. Stat. Plann. Inference 18, No. 2, 203--223 (1988; Zbl 0652.62015) Full Text: DOI
Csörgö, Miklós; Horváth, Lajos A note on strong approximations of multivariate empirical processes. (English) Zbl 0651.60040 Stochastic Processes Appl. 28, No. 1, 101-109 (1988). Reviewer: J.D.Samur MSC: 60F15 60F17 PDF BibTeX XML Cite \textit{M. Csörgö} and \textit{L. Horváth}, Stochastic Processes Appl. 28, No. 1, 101--109 (1988; Zbl 0651.60040) Full Text: DOI
Lea, Cheun-Der; Puri, Madan L. Asymptotic properties of perturbed empirical distribution functions evaluated at a random point. (English) Zbl 0641.62013 J. Stat. Plann. Inference 19, No. 2, 201-215 (1988). MSC: 62E20 62G30 60F05 60F17 PDF BibTeX XML Cite \textit{C.-D. Lea} and \textit{M. L. Puri}, J. Stat. Plann. Inference 19, No. 2, 201--215 (1988; Zbl 0641.62013) Full Text: DOI
Walk, Harro A stochastic Remes algorithm. (English) Zbl 0623.62078 J. Approximation Theory 49, 79-92 (1987). Reviewer: R.Wegmann MSC: 62L20 41A50 65D15 62J02 PDF BibTeX XML Cite \textit{H. Walk}, J. Approx. Theory 49, 79--92 (1987; Zbl 0623.62078) Full Text: DOI
Dehling, Herold Almost sure approximations for U-statistics. (English) Zbl 0607.60027 Dependence in probability and statistics, Conf. Oberwolfach 1985, Prog. Probab. Stat. 11, 119-135 (1986). MSC: 60F15 62E20 60F17 PDF BibTeX XML
Dehling, Herold Limit theorems for sums of weakly dependent Banach space valued random variables. (English) Zbl 0496.60004 Z. Wahrscheinlichkeitstheor. Verw. Geb. 63, 393-432 (1983). MSC: 60B12 60F05 60F17 60J65 PDF BibTeX XML Cite \textit{H. Dehling}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 63, 393--432 (1983; Zbl 0496.60004) Full Text: DOI
Ruppert, David Almost sure approximations to the Robbins-Monro and Kiefer-Wolfowitz processes with dependent noise. (English) Zbl 0485.62083 Ann. Probab. 10, 178-187 (1982). MSC: 62L20 60F17 60F15 62L12 PDF BibTeX XML Cite \textit{D. Ruppert}, Ann. Probab. 10, 178--187 (1982; Zbl 0485.62083) Full Text: DOI
Neaderhouser, Carla C. An almost sure invariance principle for partial sums associated with a random field. (English) Zbl 0453.60037 Stochastic Processes Appl. 11, 1-10 (1981). MSC: 60F15 60G60 60J65 82B05 PDF BibTeX XML Cite \textit{C. C. Neaderhouser}, Stochastic Processes Appl. 11, 1--10 (1981; Zbl 0453.60037) Full Text: DOI
Wegman, Edward J.; Davies, H. I. Remarks on some recursive estimators of a probability density. (English) Zbl 0405.62031 Ann. Stat. 7, 316-327 (1979). MSC: 62G05 62L12 60F20 PDF BibTeX XML Cite \textit{E. J. Wegman} and \textit{H. I. Davies}, Ann. Stat. 7, 316--327 (1979; Zbl 0405.62031) Full Text: DOI