Bobkov, Sergey G. Refinements of Berry-Esseen inequalities in terms of Lyapunov coefficients. (English) Zbl 07823635 J. Fourier Anal. Appl. 29, No. 6, Paper No. 72, 33 p. (2023). MSC: 60E15 42A38 60F05 PDFBibTeX XMLCite \textit{S. G. Bobkov}, J. Fourier Anal. Appl. 29, No. 6, Paper No. 72, 33 p. (2023; Zbl 07823635) Full Text: DOI
Jiang, Hui; Zhou, Jingying An exponential nonuniform Berry-Esseen bound for the fractional Ornstein-Uhlenbeck process. (English) Zbl 1519.60029 J. Theor. Probab. 36, No. 2, 1037-1058 (2023). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 60E15 60G22 60F10 62N02 PDFBibTeX XMLCite \textit{H. Jiang} and \textit{J. Zhou}, J. Theor. Probab. 36, No. 2, 1037--1058 (2023; Zbl 1519.60029) Full Text: DOI
Dedecker, Jérôme; Merlevède, Florence; Rio, Emmanuel Rates of convergence in the central limit theorem for martingales in the non stationary setting. (English. French summary) Zbl 1492.60054 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 2, 945-966 (2022). MSC: 60F05 60G42 60G48 PDFBibTeX XMLCite \textit{J. Dedecker} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 2, 945--966 (2022; Zbl 1492.60054) Full Text: DOI arXiv
Yu, Haichao; Zhang, Yong The law of iterated logarithm for a class of random variables satisfying Rosenthal type inequality. (English) Zbl 1525.60042 AIMS Math. 6, No. 10, 11076-11083 (2021). MSC: 60F15 60E15 60F05 PDFBibTeX XMLCite \textit{H. Yu} and \textit{Y. Zhang}, AIMS Math. 6, No. 10, 11076--11083 (2021; Zbl 1525.60042) Full Text: DOI
Sreehari, M. A bound in the stable \((\alpha)\), \(1 < \alpha \leq 2\), limit theorem for associated random variables with infinite variance. (English) Zbl 1473.60050 Theory Probab. Math. Stat. 104, 145-156 (2021). MSC: 60E15 60F10 60F05 PDFBibTeX XMLCite \textit{M. Sreehari}, Theory Probab. Math. Stat. 104, 145--156 (2021; Zbl 1473.60050) Full Text: DOI
Tanoh, Kouacou; N’zi, Modeste; Yodé, Armel Fabrice Large deviations and Berry-Esseen inequalities for estimators in nonhomogeneous diffusion driven by fractional Brownian motion. (English) Zbl 1462.62515 Random Oper. Stoch. Equ. 28, No. 3, 183-196 (2020). MSC: 62M05 62F12 60E15 60F10 60G22 60H10 60H07 60J60 PDFBibTeX XMLCite \textit{K. Tanoh} et al., Random Oper. Stoch. Equ. 28, No. 3, 183--196 (2020; Zbl 1462.62515) Full Text: DOI
Sreehari, M. Order of approximation in the central limit theorem for associated random variables and a moderate deviation result. (English) Zbl 1481.60059 Theory Probab. Math. Stat. 98, 229-242 (2019) and Teor. Jmovirn. Mat. Stat. 98, 215-227 (2018). MSC: 60F05 60E15 60F10 PDFBibTeX XMLCite \textit{M. Sreehari}, Theory Probab. Math. Stat. 98, 229--242 (2019; Zbl 1481.60059) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Pinelis, I. Exact bounds on the truncated-tilted mean, with applications. (English) Zbl 1442.62038 Theory Probab. Appl. 63, No. 3, 447-463 (2019) and Teor. Veroyatn. Primen. 63, No. 3, 545-564 (2018). MSC: 62E15 60E15 60F05 PDFBibTeX XMLCite \textit{I. Pinelis}, Theory Probab. Appl. 63, No. 3, 447--463 (2019; Zbl 1442.62038) Full Text: DOI arXiv
Rio, Emmanuel About the conditional value at risk of partial sums. (Valeur à risque conditionnelle de sommes de variables aléatoires réelles.) (English. French summary) Zbl 1375.60087 C. R., Math., Acad. Sci. Paris 355, No. 11, 1190-1195 (2017). MSC: 60G50 60E15 60F05 91B30 PDFBibTeX XMLCite \textit{E. Rio}, C. R., Math., Acad. Sci. Paris 355, No. 11, 1190--1195 (2017; Zbl 1375.60087) Full Text: DOI
Mattner, L.; Shevtsova, I. G. An optimal Berry-Esseen type inequality for expectations of smooth functions. (English. Russian original) Zbl 1381.60066 Dokl. Math. 95, No. 3, 250-253 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 5, 535-539 (2017). Reviewer: Giovanni Puccetti (Milano) MSC: 60E15 60E05 62E15 PDFBibTeX XMLCite \textit{L. Mattner} and \textit{I. G. Shevtsova}, Dokl. Math. 95, No. 3, 250--253 (2017; Zbl 1381.60066); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 474, No. 5, 535--539 (2017) Full Text: DOI
Shevtsova, I. G. On the absolute constants in the Berry-Esseen-type inequalities. (English. Russian original) Zbl 1307.60018 Dokl. Math. 89, No. 3, 378-381 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 6, 650-654 (2014). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 PDFBibTeX XMLCite \textit{I. G. Shevtsova}, Dokl. Math. 89, No. 3, 378--381 (2014; Zbl 1307.60018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 6, 650--654 (2014) Full Text: DOI
Adell, José A. Edgeworth expansions for smooth functions of standardized subordinators via differential calculus for linear operators. (English) Zbl 1227.60025 Jaen J. Approx. 2, No. 2, 215-239 (2010). Reviewer: Michael Voit (Dortmund) MSC: 60F05 41A17 PDFBibTeX XMLCite \textit{J. A. Adell}, Jaen J. Approx. 2, No. 2, 215--239 (2010; Zbl 1227.60025)
Tolli, Filippo A Berry-Esseen theorem on semisimple Lie groups. (English) Zbl 0961.60010 Ann. Inst. Henri Poincaré, Probab. Stat. 36, No. 3, 275-290 (2000). Reviewer: Nicko G.Gamkrelidze (Moskva) MSC: 60B15 60E15 PDFBibTeX XMLCite \textit{F. Tolli}, Ann. Inst. Henri Poincaré, Probab. Stat. 36, No. 3, 275--290 (2000; Zbl 0961.60010) Full Text: DOI Numdam EuDML
Einmahl, Uwe On the cluster set problem for the generalized law of the iterated logarithm in Euclidean space. (English) Zbl 0833.60029 Ann. Probab. 23, No. 2, 817-851 (1995). Reviewer: H.Hering (Göttingen) MSC: 60F15 60B12 PDFBibTeX XMLCite \textit{U. Einmahl}, Ann. Probab. 23, No. 2, 817--851 (1995; Zbl 0833.60029) Full Text: DOI
Christoph, G. On some differences in limit theorems with a normal or a non-normal stable limit law. (English) Zbl 0795.60021 Math. Nachr. 153, 247-256 (1991). MSC: 60F05 PDFBibTeX XMLCite \textit{G. Christoph}, Math. Nachr. 153, 247--256 (1991; Zbl 0795.60021) Full Text: DOI
Omey, E.; Rachev, S. T. Rates of convergence in multivariate extreme value theory. (English) Zbl 0735.60053 J. Multivariate Anal. 38, No. 1, 36-50 (1991). Reviewer: W.Dziubdziela (Kielce) MSC: 60G70 60F05 60E15 PDFBibTeX XMLCite \textit{E. Omey} and \textit{S. T. Rachev}, J. Multivariate Anal. 38, No. 1, 36--50 (1991; Zbl 0735.60053) Full Text: DOI
Korolyuk, V. S.; Borovskikh, Yu. V. Asymptotic theory of U-statistics. (English. Russian original) Zbl 0663.62059 Ukr. Math. J. 40, No. 2, 142-154 (1988); translation from Ukr. Mat. Zh. 40, No. 2, 169-182 (1988). Reviewer: B.L.S.Prakasa Rao MSC: 62G99 60F05 60E15 PDFBibTeX XMLCite \textit{V. S. Korolyuk} and \textit{Yu. V. Borovskikh}, Ukr. Math. J. 40, No. 2, 142--154 (1988; Zbl 0663.62059); translation from Ukr. Mat. Zh. 40, No. 2, 169--182 (1988) Full Text: DOI