Cuny, C.; Dedecker, J.; Merlevède, F.; Peligrad, M. Berry-Esseen type bounds for the left random walk on \({\mathrm{GL}_d}(\mathbb{R})\) under polynomial moment conditions. (English) Zbl 1519.60031 Ann. Probab. 51, No. 2, 495-523 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60B15 60G50 PDFBibTeX XMLCite \textit{C. Cuny} et al., Ann. Probab. 51, No. 2, 495--523 (2023; Zbl 1519.60031) Full Text: DOI arXiv
Beliaev, Dmitry; Muirhead, Stephen; Rivera, Alejandro A covariance formula for topological events of smooth Gaussian fields. (English) Zbl 1468.60060 Ann. Probab. 48, No. 6, 2845-2893 (2020). Reviewer: Andriy Olenko (Melbourne) MSC: 60G60 60D05 60G15 PDFBibTeX XMLCite \textit{D. Beliaev} et al., Ann. Probab. 48, No. 6, 2845--2893 (2020; Zbl 1468.60060) Full Text: DOI arXiv Euclid
Aguilar, Enrique Guerra On the transient (T) condition for random walk in mixing environment. (English) Zbl 1457.60152 Ann. Probab. 47, No. 5, 3003-3054 (2019). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 60K37 82D30 PDFBibTeX XMLCite \textit{E. G. Aguilar}, Ann. Probab. 47, No. 5, 3003--3054 (2019; Zbl 1457.60152) Full Text: DOI arXiv Euclid
Fyodorov, Y. V.; Khoruzhenko, B. A.; Simm, N. J. Fractional Brownian motion with Hurst index \({H = 0}\) and the Gaussian unitary ensemble. (English) Zbl 1393.60037 Ann. Probab. 44, No. 4, 2980-3031 (2016). MSC: 60G22 60B20 60F17 60F05 60G15 60G25 PDFBibTeX XMLCite \textit{Y. V. Fyodorov} et al., Ann. Probab. 44, No. 4, 2980--3031 (2016; Zbl 1393.60037) Full Text: DOI arXiv Euclid
Berkes, István; Liu, Weidong; Wu, Wei Biao Komlós-Major-Tusnády approximation under dependence. (English) Zbl 1308.60037 Ann. Probab. 42, No. 2, 794-817 (2014). Reviewer: Jurgita Markeviciute (Vilnius) MSC: 60F17 60G10 60J65 PDFBibTeX XMLCite \textit{I. Berkes} et al., Ann. Probab. 42, No. 2, 794--817 (2014; Zbl 1308.60037) Full Text: DOI arXiv Euclid
Cuny, Christophe; Merlevède, Florence On martingale approximations and the quenched weak invariance principle. (English) Zbl 1354.60031 Ann. Probab. 42, No. 2, 760-793 (2014). MSC: 60F25 60G42 60G10 60F17 60F05 60F10 60F15 PDFBibTeX XMLCite \textit{C. Cuny} and \textit{F. Merlevède}, Ann. Probab. 42, No. 2, 760--793 (2014; Zbl 1354.60031) Full Text: DOI arXiv Euclid
Dedecker, Jérôme; Merlevède, Florence; Rio, Emmanuel Strong approximation results for the empirical process of stationary sequences. (English) Zbl 1284.60069 Ann. Probab. 41, No. 5, 3658-3696 (2013). Reviewer: Martin Wendler (Bochum) MSC: 60F17 60G10 PDFBibTeX XMLCite \textit{J. Dedecker} et al., Ann. Probab. 41, No. 5, 3658--3696 (2013; Zbl 1284.60069) Full Text: DOI arXiv Euclid
Ivanov, Alexander V.; Leonenko, Nikolai; Ruiz-Medina, María D.; Savich, Irina N. Limit theorems for weighted nonlinear transformations of Gaussian stationary processes with singular spectra. (English) Zbl 1329.60031 Ann. Probab. 41, No. 2, 1088-1114 (2013). MSC: 60F05 60G10 60G15 60G20 62J02 62M15 PDFBibTeX XMLCite \textit{A. V. Ivanov} et al., Ann. Probab. 41, No. 2, 1088--1114 (2013; Zbl 1329.60031) Full Text: DOI arXiv Euclid
Merlevède, Florence; Peligrad, Magda Rosenthal-type inequalities for the maximum of partial sums of stationary processes and examples. (English) Zbl 1274.60056 Ann. Probab. 41, No. 2, 914-960 (2013). Reviewer: Allan Gut (Uppsala) MSC: 60E15 60G10 PDFBibTeX XMLCite \textit{F. Merlevède} and \textit{M. Peligrad}, Ann. Probab. 41, No. 2, 914--960 (2013; Zbl 1274.60056) Full Text: DOI arXiv Euclid
Calka, Pierre; Schreiber, Tomasz; Yukich, J. E. Brownian limits, local limits and variance asymptotics for convex hulls in the ball. (English) Zbl 1278.60020 Ann. Probab. 41, No. 1, 50-108 (2013). Reviewer: Ilya S. Molchanov (Bern) MSC: 60D05 60F05 PDFBibTeX XMLCite \textit{P. Calka} et al., Ann. Probab. 41, No. 1, 50--108 (2013; Zbl 1278.60020) Full Text: DOI arXiv Euclid
Berkes, István; Hörmann, Siegfried; Schauer, Johannes Split invariance principles for stationary processes. (English) Zbl 1236.60037 Ann. Probab. 39, No. 6, 2441-2473 (2011). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60F17 60G10 60G17 PDFBibTeX XMLCite \textit{I. Berkes} et al., Ann. Probab. 39, No. 6, 2441--2473 (2011; Zbl 1236.60037) Full Text: DOI arXiv
Giné, Evarist; Nickl, Richard Uniform limit theorems for wavelet density estimators. (English) Zbl 1255.62103 Ann. Probab. 37, No. 4, 1605-1646 (2009). MSC: 62G07 42C40 60F05 60F15 60F17 62G20 PDFBibTeX XMLCite \textit{E. Giné} and \textit{R. Nickl}, Ann. Probab. 37, No. 4, 1605--1646 (2009; Zbl 1255.62103) Full Text: DOI arXiv
Roitershtein, Alexander Transient random walks on a strip in a random environment. (English) Zbl 1167.60023 Ann. Probab. 36, No. 6, 2354-2387 (2008). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60K37 60F05 60F10 PDFBibTeX XMLCite \textit{A. Roitershtein}, Ann. Probab. 36, No. 6, 2354--2387 (2008; Zbl 1167.60023) Full Text: DOI arXiv
Wu, Wei Biao Strong invariance principles for dependent random variables. (English) Zbl 1166.60307 Ann. Probab. 35, No. 6, 2294-2320 (2007). MSC: 60F05 60F17 PDFBibTeX XMLCite \textit{W. B. Wu}, Ann. Probab. 35, No. 6, 2294--2320 (2007; Zbl 1166.60307) Full Text: DOI arXiv Euclid
Roitershtein, Alexander A note on multitype branching processes with immigration in a random environment. (English) Zbl 1117.60079 Ann. Probab. 35, No. 4, 1573-1592 (2007). MSC: 60J80 60K37 60F05 60F15 PDFBibTeX XMLCite \textit{A. Roitershtein}, Ann. Probab. 35, No. 4, 1573--1592 (2007; Zbl 1117.60079) Full Text: DOI arXiv
Bojdecki, Tomasz; Gorostiza, Luis G.; Talarczyk, Anna A long range dependence stable process and an infinite variance branching system. (English) Zbl 1121.60028 Ann. Probab. 35, No. 2, 500-527 (2007). Reviewer: Michael Högele (Berlin) MSC: 60F17 60J80 60G18 60G52 PDFBibTeX XMLCite \textit{T. Bojdecki} et al., Ann. Probab. 35, No. 2, 500--527 (2007; Zbl 1121.60028) Full Text: DOI arXiv
Peligrad, Magda; Utev, Sergey Central limit theorem for stationary linear processes. (English) Zbl 1101.60014 Ann. Probab. 34, No. 4, 1608-1622 (2006). MSC: 60F05 60G10 60G42 60G48 PDFBibTeX XMLCite \textit{M. Peligrad} and \textit{S. Utev}, Ann. Probab. 34, No. 4, 1608--1622 (2006; Zbl 1101.60014) Full Text: DOI arXiv
Konstantinides, Dimitrios G.; Mikosch, Thomas Large deviations and ruin probabilities for solutions to stochastic recurrence equations with heavy-tailed innovations. (English) Zbl 1085.60017 Ann. Probab. 33, No. 5, 1992-2035 (2005). Reviewer: Zdzisław Rychlik (Lublin) MSC: 60F10 91B30 60G70 60G35 PDFBibTeX XMLCite \textit{D. G. Konstantinides} and \textit{T. Mikosch}, Ann. Probab. 33, No. 5, 1992--2035 (2005; Zbl 1085.60017) Full Text: DOI
Gamboa, Fabrice; Lozada-Chang, Li-Vang Large deviations for random power moment problem. (English) Zbl 1062.60023 Ann. Probab. 32, No. 3B, 2819-2837 (2004). Reviewer: Nikolai N. Leonenko (Cardiff) MSC: 60F10 60F05 60E05 60B10 60A10 PDFBibTeX XMLCite \textit{F. Gamboa} and \textit{L.-V. Lozada-Chang}, Ann. Probab. 32, No. 3B, 2819--2837 (2004; Zbl 1062.60023) Full Text: DOI arXiv
Comets, Francis; Zeitouni, Ofer A law of large numbers for random walks in random mixing environments. (English) Zbl 1078.60089 Ann. Probab. 32, No. 1B, 880-914 (2004). MSC: 60K37 60F15 82B41 82B44 PDFBibTeX XMLCite \textit{F. Comets} and \textit{O. Zeitouni}, Ann. Probab. 32, No. 1B, 880--914 (2004; Zbl 1078.60089) Full Text: DOI arXiv
Abadi, Miguel Sharp error terms and necessary conditions for exponential hitting times in mixing processes. (English) Zbl 1045.60018 Ann. Probab. 32, No. 1A, 243-264 (2004). MSC: 60F05 37A50 60G10 PDFBibTeX XMLCite \textit{M. Abadi}, Ann. Probab. 32, No. 1A, 243--264 (2004; Zbl 1045.60018) Full Text: DOI
Wu, Wei Biao; Woodroofe, Michael Martingale approximations for sums of stationary processes. (English) Zbl 1057.60022 Ann. Probab. 32, No. 2, 1674-1690 (2004). Reviewer: Erich Häusler (Gießen) MSC: 60F05 60F17 60G42 60J10 PDFBibTeX XMLCite \textit{W. B. Wu} and \textit{M. Woodroofe}, Ann. Probab. 32, No. 2, 1674--1690 (2004; Zbl 1057.60022) Full Text: DOI arXiv
Dedecker, Jérôme; Merlevède, Florence Necessary and sufficient conditions for the conditional central limit theorem. (English) Zbl 1015.60016 Ann. Probab. 30, No. 3, 1044-1081 (2002). MSC: 60F05 28D05 60F17 PDFBibTeX XMLCite \textit{J. Dedecker} and \textit{F. Merlevède}, Ann. Probab. 30, No. 3, 1044--1081 (2002; Zbl 1015.60016) Full Text: DOI
Merlevède, Florence; Peligrad, Magda The functional central limit theorem under the strong mixing condition. (English) Zbl 1023.60040 Ann. Probab. 28, No. 3, 1336-1352 (2000). MSC: 60F17 60F05 PDFBibTeX XMLCite \textit{F. Merlevède} and \textit{M. Peligrad}, Ann. Probab. 28, No. 3, 1336--1352 (2000; Zbl 1023.60040) Full Text: DOI
Nishiyama, Yoichi Weak convergence of some classes of martingales with jumps. (English) Zbl 1128.60305 Ann. Probab. 28, No. 2, 685-712 (2000). MSC: 60F05 60F17 60F20 PDFBibTeX XMLCite \textit{Y. Nishiyama}, Ann. Probab. 28, No. 2, 685--712 (2000; Zbl 1128.60305) Full Text: DOI
Peligrad, Magda On the blockwise bootstrap for empirical processes for stationary sequences. (English) Zbl 0932.62055 Ann. Probab. 26, No. 2, 877-901 (1998). MSC: 62G09 62G20 62G05 62G30 60F05 60G10 PDFBibTeX XMLCite \textit{M. Peligrad}, Ann. Probab. 26, No. 2, 877--901 (1998; Zbl 0932.62055) Full Text: DOI
Berkes, István; Philipp, Walter Limit theorems for mixing sequences without rate assumptions. (English) Zbl 0943.60020 Ann. Probab. 26, No. 2, 805-831 (1998). MSC: 60F05 60F17 PDFBibTeX XMLCite \textit{I. Berkes} and \textit{W. Philipp}, Ann. Probab. 26, No. 2, 805--831 (1998; Zbl 0943.60020) Full Text: DOI
Hennion, H. Limit theorems for products of positive random matrices. (English) Zbl 0903.60027 Ann. Probab. 25, No. 4, 1545-1587 (1997). MSC: 60F99 60F05 PDFBibTeX XMLCite \textit{H. Hennion}, Ann. Probab. 25, No. 4, 1545--1587 (1997; Zbl 0903.60027) Full Text: DOI
Peligrad, Magda; Utev, Sergey Central limit theorem for linear processes. (English) Zbl 0876.60013 Ann. Probab. 25, No. 1, 443-456 (1997). Reviewer: A.K.Basu (Calcutta) MSC: 60F05 60G09 PDFBibTeX XMLCite \textit{M. Peligrad} and \textit{S. Utev}, Ann. Probab. 25, No. 1, 443--456 (1997; Zbl 0876.60013) Full Text: DOI