Döbler, Christian Normal approximation via non-linear exchangeable pairs. (English) Zbl 07662451 ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 1, 167-224 (2023). MSC: 60F05 60H07 60J25 62E20 60G55 PDF BibTeX XML Cite \textit{C. Döbler}, ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 1, 167--224 (2023; Zbl 07662451) Full Text: arXiv Link OpenURL
Paguyo, J. E. Cycle structure of random parking functions. (English) Zbl 07637358 Adv. Appl. Math. 144, Article ID 102458, 24 p. (2023). MSC: 60C05 60F05 PDF BibTeX XML Cite \textit{J. E. Paguyo}, Adv. Appl. Math. 144, Article ID 102458, 24 p. (2023; Zbl 07637358) Full Text: DOI arXiv OpenURL
Fang, Xiao; Koike, Yuta New error bounds in multivariate normal approximations via exchangeable pairs with applications to Wishart matrices and fourth moment theorems. (English) Zbl 1485.60023 Ann. Appl. Probab. 32, No. 1, 602-631 (2022). MSC: 60F05 62E17 PDF BibTeX XML Cite \textit{X. Fang} and \textit{Y. Koike}, Ann. Appl. Probab. 32, No. 1, 602--631 (2022; Zbl 1485.60023) Full Text: DOI arXiv OpenURL
Cheng, Guanghui; Liu, Zhi; Peng, Liuhua Gaussian approximations for high-dimensional non-degenerate \(U\)-statistics via exchangeable pairs. (English) Zbl 1478.60086 Stat. Probab. Lett. 182, Article ID 109295, 9 p. (2022). MSC: 60F05 62E17 62E20 PDF BibTeX XML Cite \textit{G. Cheng} et al., Stat. Probab. Lett. 182, Article ID 109295, 9 p. (2022; Zbl 1478.60086) Full Text: DOI OpenURL
Liu, Da-li; Li, Zheng; Wang, Han-chao; Chen, Zeng-jing Non-uniform Berry-Esseen bound by unbounded exchangeable pairs approach. (English) Zbl 1488.60026 Appl. Math., Ser. B (Engl. Ed.) 36, No. 2, 256-268 (2021). MSC: 60E15 60F05 PDF BibTeX XML Cite \textit{D.-l. Liu} et al., Appl. Math., Ser. B (Engl. Ed.) 36, No. 2, 256--268 (2021; Zbl 1488.60026) Full Text: DOI arXiv OpenURL
Fang, Xiao; Koike, Yuta High-dimensional central limit theorems by Stein’s method. (English) Zbl 1476.60049 Ann. Appl. Probab. 31, No. 4, 1660-1686 (2021). MSC: 60F05 62E17 PDF BibTeX XML Cite \textit{X. Fang} and \textit{Y. Koike}, Ann. Appl. Probab. 31, No. 4, 1660--1686 (2021; Zbl 1476.60049) Full Text: DOI arXiv Link OpenURL
Döbler, Christian; Kasprzak, Mikołaj J. Stein’s method of exchangeable pairs in multivariate functional approximations. (English) Zbl 1470.60110 Electron. J. Probab. 26, Paper No. 28, 50 p. (2021). MSC: 60G15 60B10 60F17 60J65 PDF BibTeX XML Cite \textit{C. Döbler} and \textit{M. J. Kasprzak}, Electron. J. Probab. 26, Paper No. 28, 50 p. (2021; Zbl 1470.60110) Full Text: DOI arXiv OpenURL
Kasprzak, Mikołaj J. Functional approximations via Stein’s method of exchangeable pairs. (English. French summary) Zbl 1470.60007 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 4, 2540-2564 (2020). Reviewer: Dominique Lépingle (Orléans) MSC: 60B10 60F17 60B12 60J65 60E05 60E15 60G15 PDF BibTeX XML Cite \textit{M. J. Kasprzak}, Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 4, 2540--2564 (2020; Zbl 1470.60007) Full Text: DOI arXiv Euclid OpenURL
Zheng, Guangqu A Peccati-Tudor type theorem for Rademacher chaoses. (English) Zbl 07661349 ESAIM, Probab. Stat. 23, 874-892 (2019). MSC: 60F05 60B10 60H07 PDF BibTeX XML Cite \textit{G. Zheng}, ESAIM, Probab. Stat. 23, 874--892 (2019; Zbl 07661349) Full Text: DOI arXiv OpenURL
Nourdin, Ivan; Zheng, Guangqu Exchangeable pairs on Wiener chaos. (English) Zbl 1448.60100 Gozlan, Nathael (ed.) et al., High dimensional probability VIII. The Oaxaca volume. Selected papers based on the presentations at the 8th conference on high-dimensional probability, HDP VIII, Casa Matemática Oaxaca (CMO), Mexico, May 28 – June 2, 2017. Cham: Birkhäuser. Prog. Probab. 74, 277-303 (2019). MSC: 60G50 60H07 60H05 PDF BibTeX XML Cite \textit{I. Nourdin} and \textit{G. Zheng}, Prog. Probab. 74, 277--303 (2019; Zbl 1448.60100) Full Text: DOI arXiv OpenURL
Banerjee, Debapratim; Sordello, Matteo A Bernstein type inequality for sums of selections from three dimensional arrays. (English) Zbl 1454.60029 Stat. Probab. Lett. 154, Article ID 108534, 7 p. (2019). MSC: 60E15 60C05 82C22 PDF BibTeX XML Cite \textit{D. Banerjee} and \textit{M. Sordello}, Stat. Probab. Lett. 154, Article ID 108534, 7 p. (2019; Zbl 1454.60029) Full Text: DOI arXiv OpenURL
Poly, Guillaume; Zheng, Guangqu Almost sure convergence on chaoses. (English) Zbl 1481.60055 Proc. Am. Math. Soc. 147, No. 9, 4055-4065 (2019). MSC: 60F05 60H05 60G15 PDF BibTeX XML Cite \textit{G. Poly} and \textit{G. Zheng}, Proc. Am. Math. Soc. 147, No. 9, 4055--4065 (2019; Zbl 1481.60055) Full Text: DOI arXiv OpenURL
Shao, Qi-Man; Zhang, Zhuo-Song Berry-Esseen bounds of normal and nonnormal approximation for unbounded exchangeable pairs. (English) Zbl 1466.60052 Ann. Probab. 47, No. 1, 61-108 (2019). MSC: 60F05 60E15 60K35 PDF BibTeX XML Cite \textit{Q.-M. Shao} and \textit{Z.-S. Zhang}, Ann. Probab. 47, No. 1, 61--108 (2019; Zbl 1466.60052) Full Text: DOI arXiv Euclid OpenURL
Döbler, Christian; Peccati, Giovanni Quantitative CLTs for symmetric \(U\)-statistics using contractions. (English) Zbl 1442.60034 Electron. J. Probab. 24, Paper No. 5, 43 p. (2019). MSC: 60F05 60D05 62G99 PDF BibTeX XML Cite \textit{C. Döbler} and \textit{G. Peccati}, Electron. J. Probab. 24, Paper No. 5, 43 p. (2019; Zbl 1442.60034) Full Text: DOI arXiv Euclid OpenURL
Döbler, Christian; Peccati, Giovanni The Gamma Stein equation and noncentral de Jong theorems. (English) Zbl 1407.60034 Bernoulli 24, No. 4B, 3384-3421 (2018). MSC: 60F05 60H07 PDF BibTeX XML Cite \textit{C. Döbler} and \textit{G. Peccati}, Bernoulli 24, No. 4B, 3384--3421 (2018; Zbl 1407.60034) Full Text: DOI arXiv Euclid OpenURL
Döbler, Christian; Vidotto, Anna; Zheng, Guangqu Fourth moment theorems on the Poisson space in any dimension. (English) Zbl 1387.60045 Electron. J. Probab. 23, Paper No. 36, 27 p. (2018). MSC: 60F05 60H07 60H05 PDF BibTeX XML Cite \textit{C. Döbler} et al., Electron. J. Probab. 23, Paper No. 36, 27 p. (2018; Zbl 1387.60045) Full Text: DOI arXiv Euclid OpenURL
Döbler, Christian; Peccati, Giovanni Quantitative de Jong theorems in any dimension. (English) Zbl 1357.60023 Electron. J. Probab. 22, Paper No. 2, 35 p. (2017). MSC: 60F05 62E17 62E20 PDF BibTeX XML Cite \textit{C. Döbler} and \textit{G. Peccati}, Electron. J. Probab. 22, Paper No. 2, 35 p. (2017; Zbl 1357.60023) Full Text: DOI arXiv Euclid OpenURL
Cook, Nicholas A. Discrepancy properties for random regular digraphs. (English) Zbl 1352.05164 Random Struct. Algorithms 50, No. 1, 23-58 (2017). MSC: 05C80 05C20 60K35 60E15 PDF BibTeX XML Cite \textit{N. A. Cook}, Random Struct. Algorithms 50, No. 1, 23--58 (2017; Zbl 1352.05164) Full Text: DOI arXiv Backlinks: MO MO OpenURL
Paulin, Daniel; Mackey, Lester; Tropp, Joel A. Efron-Stein inequalities for random matrices. (English) Zbl 1378.60025 Ann. Probab. 44, No. 5, 3431-3473 (2016). Reviewer: Ludwig Paditz (Dresden) MSC: 60B20 15B52 60E15 60G09 60F10 PDF BibTeX XML Cite \textit{D. Paulin} et al., Ann. Probab. 44, No. 5, 3431--3473 (2016; Zbl 1378.60025) Full Text: DOI arXiv Euclid OpenURL
Döbler, Christian Stein’s method of exchangeable pairs for the Beta distribution and generalizations. (English) Zbl 1328.60064 Electron. J. Probab. 20, Paper No. 109, 34 p. (2015). MSC: 60F05 60E99 PDF BibTeX XML Cite \textit{C. Döbler}, Electron. J. Probab. 20, Paper No. 109, 34 p. (2015; Zbl 1328.60064) Full Text: DOI arXiv OpenURL
Chen, Louis H. Y.; Fang, Xiao On the error bound in a combinatorial central limit theorem. (English) Zbl 1354.60011 Bernoulli 21, No. 1, 335-359 (2015). Reviewer: Ping Sun (Shenyang) MSC: 60C05 60F05 PDF BibTeX XML Cite \textit{L. H. Y. Chen} and \textit{X. Fang}, Bernoulli 21, No. 1, 335--359 (2015; Zbl 1354.60011) Full Text: DOI arXiv Euclid OpenURL
Eichelsbacher, Peter; Martschink, Bastian On rates of convergence in the Curie-Weiss-Potts model with an external field. (English. French summary) Zbl 1321.60038 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 1, 252-282 (2015). MSC: 60F05 60K35 82B20 82B26 PDF BibTeX XML Cite \textit{P. Eichelsbacher} and \textit{B. Martschink}, Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 1, 252--282 (2015; Zbl 1321.60038) Full Text: DOI arXiv Euclid OpenURL
Johnson, Tobias Exchangeable pairs, switchings, and random regular graphs. (English) Zbl 1307.05205 Electron. J. Comb. 22, No. 1, Research Paper P1.33, 28 p. (2015). MSC: 05C80 60B10 60B20 PDF BibTeX XML Cite \textit{T. Johnson}, Electron. J. Comb. 22, No. 1, Research Paper P1.33, 28 p. (2015; Zbl 1307.05205) Full Text: arXiv Link OpenURL
Paulin, Daniel The convex distance inequality for dependent random variables, with applications to the stochastic travelling salesman and other problems. (English) Zbl 1330.60039 Electron. J. Probab. 19, Paper No. 68, 34 p. (2014). Reviewer: Fraser Daly (Edinburgh) MSC: 60E15 82B44 PDF BibTeX XML Cite \textit{D. Paulin}, Electron. J. Probab. 19, Paper No. 68, 34 p. (2014; Zbl 1330.60039) Full Text: DOI arXiv OpenURL
Fang, Xiao Discretized normal approximation by Stein’s method. (English) Zbl 1310.62021 Bernoulli 20, No. 3, 1404-1431 (2014). Reviewer: Ravi Sreenivasan (Mysore) MSC: 62E17 62E10 60G50 60F05 PDF BibTeX XML Cite \textit{X. Fang}, Bernoulli 20, No. 3, 1404--1431 (2014; Zbl 1310.62021) Full Text: DOI arXiv Euclid OpenURL
Eichelsbacher, Peter; Martschink, Bastian Rates of convergence in the Blume-Emery-Griffiths model. (English) Zbl 1291.82036 J. Stat. Phys. 154, No. 6, 1483-1507 (2014). MSC: 82B26 60F05 82B20 82B27 PDF BibTeX XML Cite \textit{P. Eichelsbacher} and \textit{B. Martschink}, J. Stat. Phys. 154, No. 6, 1483--1507 (2014; Zbl 1291.82036) Full Text: DOI arXiv OpenURL
Martschink, Bastian Bounds on convergence for the empirical vector of the Curie-Weiss-Potts model with a non-zero external field vector. (English) Zbl 1302.82024 Stat. Probab. Lett. 88, 118-126 (2014). MSC: 82B20 60F05 82B27 PDF BibTeX XML Cite \textit{B. Martschink}, Stat. Probab. Lett. 88, 118--126 (2014; Zbl 1302.82024) Full Text: DOI OpenURL
Mackey, Lester; Jordan, Michael I.; Chen, Richard Y.; Farrell, Brendan; Tropp, Joel A. Matrix concentration inequalities via the method of exchangeable pairs. (English) Zbl 1294.60008 Ann. Probab. 42, No. 3, 906-945 (2014). MSC: 60B20 60E15 60G09 60F10 PDF BibTeX XML Cite \textit{L. Mackey} et al., Ann. Probab. 42, No. 3, 906--945 (2014; Zbl 1294.60008) Full Text: DOI arXiv Euclid OpenURL
Chen, Louis H. Y.; Fang, Xiao; Shao, Qi-Man From Stein identities to moderate deviations. (English) Zbl 1275.60029 Ann. Probab. 41, No. 1, 262-293 (2013). Reviewer: Anatoli Mogulskij (Novosibirsk) MSC: 60F10 60F05 PDF BibTeX XML Cite \textit{L. H. Y. Chen} et al., Ann. Probab. 41, No. 1, 262--293 (2013; Zbl 1275.60029) Full Text: DOI arXiv Euclid OpenURL
Chen, Yanchu; Shao, Qi-Man Berry-Esseen inequality for unbounded exchangeable pairs. (English) Zbl 1323.60039 Barbour, Andrew D. (ed) et al., Probability approximations and beyond. Papers based on the presentations at the conference, Singapore, June 25–26, 2010 to honor Louis Chen on his 70th birthday. New York, NY: Springer (ISBN 978-1-4614-1965-5/hbk; 978-1-4614-1966-2/ebook). Lecture Notes in Statistics 205, 13-30 (2012). Reviewer: N. G. Gamkrelidze (Moskva) MSC: 60F05 60G09 60E15 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{Q.-M. Shao}, Lect. Notes Stat. 205, 13--30 (2012; Zbl 1323.60039) Full Text: DOI OpenURL
Ross, Nathan Fundamentals of Stein’s method. (English) Zbl 1245.60033 Probab. Surv. 8, 210-293 (2011). MSC: 60F05 60C05 05C80 PDF BibTeX XML Cite \textit{N. Ross}, Probab. Surv. 8, 210--293 (2011; Zbl 1245.60033) Full Text: DOI arXiv Euclid OpenURL
Döbler, Christian; Stolz, Michael Stein’s method and the multivariate CLT for traces of powers on the compact classical groups. (English) Zbl 1243.15023 Electron. J. Probab. 16, Paper No. 86, 2375-2405 (2011). MSC: 15B52 60F05 60B15 58J65 PDF BibTeX XML Cite \textit{C. Döbler} and \textit{M. Stolz}, Electron. J. Probab. 16, Paper No. 86, 2375--2405 (2011; Zbl 1243.15023) Full Text: DOI OpenURL
Eichelsbacher, Peter; Loewe, Matthias Stein’s method for dependent random variables occuring in statistical mechanics. (English) Zbl 1225.60042 Electron. J. Probab. 15, Paper No. 30, 962-988 (2010). MSC: 60F05 82B20 82B26 PDF BibTeX XML Cite \textit{P. Eichelsbacher} and \textit{M. Loewe}, Electron. J. Probab. 15, Paper No. 30, 962--988 (2010; Zbl 1225.60042) Full Text: DOI arXiv EMIS OpenURL
Chatterjee, Sourav; Meckes, Elizabeth Multivariate normal approximation using exchangeable pairs. (English) Zbl 1162.60310 ALEA, Lat. Am. J. Probab. Math. Stat. 4, 257-283 (2008). MSC: 60F05 60B15 PDF BibTeX XML Cite \textit{S. Chatterjee} and \textit{E. Meckes}, ALEA, Lat. Am. J. Probab. Math. Stat. 4, 257--283 (2008; Zbl 1162.60310) Full Text: arXiv OpenURL
Trotter, William T.; Winkler, Peter Ramsey theory and sequences of random variables. (English) Zbl 0911.05057 Comb. Probab. Comput. 7, No. 2, 221-238 (1998). Reviewer: P.Braß (Berlin) MSC: 05D10 05C15 06A07 60C05 PDF BibTeX XML Cite \textit{W. T. Trotter} and \textit{P. Winkler}, Comb. Probab. Comput. 7, No. 2, 221--238 (1998; Zbl 0911.05057) Full Text: DOI OpenURL
Stein, Charles A way of using auxiliary randomization. (English) Zbl 0759.62008 Probability theory, Proc. Singapore Probab. Conf., Singapore/Singapore 1989, 159-180 (1992). Reviewer: A.D.Barbour (Zürich) MSC: 62E17 60F99 60C05 62E20 PDF BibTeX XML Cite \textit{C. Stein}, in: Probability theory. Proceedings of the 1989 Singapore probability conference, held at the National University of Singapore, June 8-16, 1989. Berlin: Walter de Gruyter. 159--180 (1992; Zbl 0759.62008) OpenURL