Kolesnik, O. V. Central limit theorem of records and law of the iterated logarithm in an \(F^\alpha\) scheme. (Ukrainian. English summary) Zbl 07909394 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 44, No. 1, 15-25 (2024). MSC: 60F05 60G70 PDFBibTeX XMLCite \textit{O. V. Kolesnik}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 44, No. 1, 15--25 (2024; Zbl 07909394) Full Text: DOI
Goel, Advay; Lopatto, Patrick; Xie, Xiaoyu Central limit theorem for the complex eigenvalues of Gaussian random matrices. (English) Zbl 07905733 Electron. Commun. Probab. 29, Paper No. 16, 13 p. (2024). Reviewer: Pavel Stoynov (Sofia) MSC: 60F05 60B20 PDFBibTeX XMLCite \textit{A. Goel} et al., Electron. Commun. Probab. 29, Paper No. 16, 13 p. (2024; Zbl 07905733) Full Text: DOI arXiv Link OA License
Angst, Jürgen; Dalmao, Federico; Poly, Guillaume A total variation version of Breuer-Major central limit theorem under \(\mathbb{D}^{1, 2}\) assumption. (English) Zbl 07905730 Electron. Commun. Probab. 29, Paper No. 13, 8 p. (2024). MSC: 60F05 60G10 60H07 PDFBibTeX XMLCite \textit{J. Angst} et al., Electron. Commun. Probab. 29, Paper No. 13, 8 p. (2024; Zbl 07905730) Full Text: DOI arXiv Link OA License
Yamagishi, Hayate; Yoshida, Nakahiro Asymptotic expansion of the quadratic variation of fractional stochastic differential equation. (English) Zbl 07904801 Stochastic Processes Appl. 175, Article ID 104389, 37 p. (2024). MSC: 60F05 60G22 60H05 60H07 60H10 PDFBibTeX XMLCite \textit{H. Yamagishi} and \textit{N. Yoshida}, Stochastic Processes Appl. 175, Article ID 104389, 37 p. (2024; Zbl 07904801) Full Text: DOI arXiv
Juhos, Michael L.; Kabluchko, Zakhar; Prochno, Joscha Limit theorems for mixed-norm sequence spaces with applications to volume distribution. (English) Zbl 07904056 Electron. J. Probab. 29, Paper No. 94, 44 p. (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 52A23 46B06 60D05 PDFBibTeX XMLCite \textit{M. L. Juhos} et al., Electron. J. Probab. 29, Paper No. 94, 44 p. (2024; Zbl 07904056) Full Text: DOI arXiv Link OA License
Bonis, Thomas Improved rates of convergence for the multivariate central limit theorem in Wasserstein distance. (English) Zbl 07904040 Electron. J. Probab. 29, Paper No. 78, 18 p. (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 62E17 PDFBibTeX XMLCite \textit{T. Bonis}, Electron. J. Probab. 29, Paper No. 78, 18 p. (2024; Zbl 07904040) Full Text: DOI arXiv Link OA License
Gao, Fuqing; Gao, Yunshi; Xia, Xianjie Asymptotic behaviors for random geometric series. (English) Zbl 07900865 J. Theor. Probab. 37, No. 3, 2818-2842 (2024). MSC: 60F05 60F17 30B20 60F10 PDFBibTeX XMLCite \textit{F. Gao} et al., J. Theor. Probab. 37, No. 3, 2818--2842 (2024; Zbl 07900865) Full Text: DOI
Jiang, Lianzi; Liang, Gechun A robust \(\alpha \)-stable central limit theorem under sublinear expectation without integrability condition. (English) Zbl 07900853 J. Theor. Probab. 37, No. 3, 2394-2424 (2024). MSC: 60F05 60G65 45K05 PDFBibTeX XMLCite \textit{L. Jiang} and \textit{G. Liang}, J. Theor. Probab. 37, No. 3, 2394--2424 (2024; Zbl 07900853) Full Text: DOI arXiv OA License
Goldfeld, Ziv; Kato, Kengo; Nietert, Sloan; Rioux, Gabriel Limit distribution theory for smooth \(p\)-Wasserstein distances. (English) Zbl 07899450 Ann. Appl. Probab. 34, No. 2, 2447-2487 (2024). MSC: 60F05 62E20 62G09 PDFBibTeX XMLCite \textit{Z. Goldfeld} et al., Ann. Appl. Probab. 34, No. 2, 2447--2487 (2024; Zbl 07899450) Full Text: DOI arXiv Link
Fang, Xiao; Koike, Yuta Large-dimensional central limit theorem with fourth-moment error bounds on convex sets and balls. (English) Zbl 07899440 Ann. Appl. Probab. 34, No. 2, 2065-2106 (2024). Reviewer: Pavel Stoynov (Sofia) MSC: 60F05 62E17 PDFBibTeX XMLCite \textit{X. Fang} and \textit{Y. Koike}, Ann. Appl. Probab. 34, No. 2, 2065--2106 (2024; Zbl 07899440) Full Text: DOI arXiv Link
Leung, Dennis; Shao, Qi-Man Nonuniform Berry-Esseen bounds for studentized U-statistics. (English) Zbl 07898718 Bernoulli 30, No. 4, 3276-3302 (2024). MSC: 60F05 60E15 62Exx 62Gxx PDFBibTeX XMLCite \textit{D. Leung} and \textit{Q.-M. Shao}, Bernoulli 30, No. 4, 3276--3302 (2024; Zbl 07898718) Full Text: DOI arXiv Link
Zaitsev, A. Yu. On proximity of distributions of successive sums with respect to the Prokhorov distance. (English. Russian original) Zbl 07898577 Theory Probab. Appl. 69, No. 2, 217-226 (2024); translation from Teor. Veroyatn. Primen. 69, No. 1, 272-284 (2024). MSC: 60F05 60E05 60G50 PDFBibTeX XMLCite \textit{A. Yu. Zaitsev}, Theory Probab. Appl. 69, No. 2, 217--226 (2024; Zbl 07898577); translation from Teor. Veroyatn. Primen. 69, No. 1, 272--284 (2024) Full Text: DOI
Ratibenyakool, Yuttana; Neammanee, Kritsana Rate of convergence of trinomial formula to Black-Scholes formula. (English) Zbl 07898551 Stat. Probab. Lett. 213, Article ID 110167, 8 p. (2024). MSC: 60F05 62P05 PDFBibTeX XMLCite \textit{Y. Ratibenyakool} and \textit{K. Neammanee}, Stat. Probab. Lett. 213, Article ID 110167, 8 p. (2024; Zbl 07898551) Full Text: DOI
Hotz, Thomas; Le, Huiling; Wood, Andrew T. A. Central limit theorem for intrinsic Fréchet means in smooth compact Riemannian manifolds. (English) Zbl 07891482 Probab. Theory Relat. Fields 189, No. 3-4, 1219-1246 (2024). MSC: 60F05 62R30 PDFBibTeX XMLCite \textit{T. Hotz} et al., Probab. Theory Relat. Fields 189, No. 3--4, 1219--1246 (2024; Zbl 07891482) Full Text: DOI arXiv OA License
Kock, Anders Bredahl; Preinerstorfer, David A remark on moment-dependent phase transitions in high-dimensional Gaussian approximations. (English) Zbl 07888223 Stat. Probab. Lett. 211, Article ID 110149, 6 p. (2024). MSC: 60F05 62E17 60F10 62G09 PDFBibTeX XMLCite \textit{A. B. Kock} and \textit{D. Preinerstorfer}, Stat. Probab. Lett. 211, Article ID 110149, 6 p. (2024; Zbl 07888223) Full Text: DOI arXiv
Lê Vǎn Thành Mean convergence theorems for arrays of dependent random variables with applications to dependent bootstrap and non-homogeneous Markov chains. (English) Zbl 07887479 Stat. Pap. 65, No. 3, 1135-1162 (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60F25 PDFBibTeX XMLCite \textit{Lê Vǎn Thành}, Stat. Pap. 65, No. 3, 1135--1162 (2024; Zbl 07887479) Full Text: DOI
Yonghint, N.; Neammanee, K. Poisson approximation for the expectation of call function with application in collateralized debt obligation. (English) Zbl 07881566 Commun. Stat., Theory Methods 53, No. 14, 5265-5279 (2024). MSC: 60F05 PDFBibTeX XMLCite \textit{N. Yonghint} and \textit{K. Neammanee}, Commun. Stat., Theory Methods 53, No. 14, 5265--5279 (2024; Zbl 07881566) Full Text: DOI
Kammoo, Punyapat; Neammanee, Kritsana; Laipaporn, Kittipong The local limit theorem for general weighted sums of Bernoulli random variables. (English) Zbl 07881547 Commun. Stat., Theory Methods 53, No. 13, 4918-4926 (2024). MSC: 60F05 PDFBibTeX XMLCite \textit{P. Kammoo} et al., Commun. Stat., Theory Methods 53, No. 13, 4918--4926 (2024; Zbl 07881547) Full Text: DOI
Bouzebda, Salim; Nezzal, Amel Asymptotic properties of conditional \(U\)-statistics using delta sequences. (English) Zbl 07881531 Commun. Stat., Theory Methods 53, No. 13, 4602-4657 (2024). MSC: 60F05 60G15 60G10 62G05 62G07 62H12 PDFBibTeX XMLCite \textit{S. Bouzebda} and \textit{A. Nezzal}, Commun. Stat., Theory Methods 53, No. 13, 4602--4657 (2024; Zbl 07881531) Full Text: DOI
Ebina, Masahisa Central limit theorems for nonlinear stochastic wave equations in dimension three. (English) Zbl 07880265 Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 2, 1141-1200 (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60G15 60H07 60H15 60F17 PDFBibTeX XMLCite \textit{M. Ebina}, Stoch. Partial Differ. Equ., Anal. Comput. 12, No. 2, 1141--1200 (2024; Zbl 07880265) Full Text: DOI arXiv
Davydov, Youri; Tempelman, Arkady Randomized limit theorems for stationary ergodic random processes and fields. (English) Zbl 07879394 Stochastic Processes Appl. 174, Article ID 104380, 20 p. (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60G10 37A30 60F17 PDFBibTeX XMLCite \textit{Y. Davydov} and \textit{A. Tempelman}, Stochastic Processes Appl. 174, Article ID 104380, 20 p. (2024; Zbl 07879394) Full Text: DOI arXiv
Peligrad, Magda; Sang, Hailin; Zhang, Na On the local limit theorems for linear sequences of lower psi-mixing Markov chains. (English) Zbl 07878520 Stat. Probab. Lett. 210, Article ID 110108, 11 p. (2024). MSC: 60F05 60J05 PDFBibTeX XMLCite \textit{M. Peligrad} et al., Stat. Probab. Lett. 210, Article ID 110108, 11 p. (2024; Zbl 07878520) Full Text: DOI
Zhang, Li-Xin Functional Shige Peng’s central limit theorems for martingale vectors. (English) Zbl 07873906 Commun. Math. Stat. 12, No. 2, 357-383 (2024). MSC: 60F05 60F17 60G48 60H05 PDFBibTeX XMLCite \textit{L.-X. Zhang}, Commun. Math. Stat. 12, No. 2, 357--383 (2024; Zbl 07873906) Full Text: DOI
Janson, Svante; Pratelli, Luca; Rigo, Pietro Quantitative bounds in the central limit theorem for \(m\)-dependent random variables. (English) Zbl 07873645 ALEA, Lat. Am. J. Probab. Math. Stat. 21, No. 1, 245-265 (2024). MSC: 60F05 PDFBibTeX XMLCite \textit{S. Janson} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 21, No. 1, 245--265 (2024; Zbl 07873645) Full Text: arXiv Link
Peigné, Marc; Pham, Da Cam A conditioned local limit theorem for nonnegative random matrices. (English) Zbl 07865988 J. Theor. Probab. 37, No. 2, 1882-1901 (2024). MSC: 60F05 60B20 60G50 PDFBibTeX XMLCite \textit{M. Peigné} and \textit{D. C. Pham}, J. Theor. Probab. 37, No. 2, 1882--1901 (2024; Zbl 07865988) Full Text: DOI arXiv
Auer, Martin; Voit, Michael; Woerner, Jeannette H. C. Wigner- and marchenko-Pastur-type limit theorems for Jacobi processes. (English) Zbl 07865982 J. Theor. Probab. 37, No. 2, 1674-1709 (2024). MSC: 60F05 60F15 60J60 60K35 70F10 82C22 PDFBibTeX XMLCite \textit{M. Auer} et al., J. Theor. Probab. 37, No. 2, 1674--1709 (2024; Zbl 07865982) Full Text: DOI arXiv OA License
Li, Huiqin; Pan, Guangming; Yin, Yanqing; Zhou, Wang Separable sample covariance matrices under elliptical populations with applications. (English) Zbl 07853744 Trans. Am. Math. Soc. 377, No. 6, 3805-3843 (2024). MSC: 60F05 60H10 PDFBibTeX XMLCite \textit{H. Li} et al., Trans. Am. Math. Soc. 377, No. 6, 3805--3843 (2024; Zbl 07853744) Full Text: DOI
Yang, Wenzhi; Ding, Ran; Hu, Shuhe; Yao, Chunyu Exact laws of large numbers for \(k\)-th order statistics from the asymmetrical Cauchy distribution. (English) Zbl 07850708 Commun. Stat., Theory Methods 53, No. 8, 2757-2770 (2024). MSC: 60F05 60F15 PDFBibTeX XMLCite \textit{W. Yang} et al., Commun. Stat., Theory Methods 53, No. 8, 2757--2770 (2024; Zbl 07850708) Full Text: DOI
Huang, Shuo; Liang, Gechun A monotone scheme for \(\mathrm{G}\)-equations with application to the explicit convergence rate of robust central limit theorem. (English) Zbl 1539.60020 J. Differ. Equations 398, 1-37 (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60H30 65M15 35D40 PDFBibTeX XMLCite \textit{S. Huang} and \textit{G. Liang}, J. Differ. Equations 398, 1--37 (2024; Zbl 1539.60020) Full Text: DOI arXiv
Heerten, Nils; Sambale, Holger; Thäle, Christoph Probabilistic limit theorems induced by the zeros of polynomials. (English) Zbl 07849109 Math. Nachr. 297, No. 5, 1772-1792 (2024). MSC: 60F05 05A15 20F55 30B20 30C15 PDFBibTeX XMLCite \textit{N. Heerten} et al., Math. Nachr. 297, No. 5, 1772--1792 (2024; Zbl 07849109) Full Text: DOI arXiv OA License
Ottolini, Andrea; Tripathi, Raghavendra Central limit theorem in complete feedback games. (English) Zbl 1537.60029 J. Appl. Probab. 61, No. 2, 654-666 (2024). MSC: 60F05 60G70 91A60 PDFBibTeX XMLCite \textit{A. Ottolini} and \textit{R. Tripathi}, J. Appl. Probab. 61, No. 2, 654--666 (2024; Zbl 1537.60029) Full Text: DOI arXiv
Auld, Graeme; Neammanee, Kritsana A nonuniform local limit theorem for Poisson binomial random variables via Stein’s method. (English) Zbl 1537.60028 J. Inequal. Appl. 2024, Paper No. 10, 18 p. (2024). MSC: 60F05 60G50 62E17 62E20 60E10 PDFBibTeX XMLCite \textit{G. Auld} and \textit{K. Neammanee}, J. Inequal. Appl. 2024, Paper No. 10, 18 p. (2024; Zbl 1537.60028) Full Text: DOI OA License
Zhou, Qianqian; Sakhanenko, Alexander; Guo, Junyi Central limit theorem with rate of convergence under sublinear expectations. (English) Zbl 07842662 Stochastic Processes Appl. 172, Article ID 104353, 16 p. (2024). MSC: 60F05 60F15 91G05 PDFBibTeX XMLCite \textit{Q. Zhou} et al., Stochastic Processes Appl. 172, Article ID 104353, 16 p. (2024; Zbl 07842662) Full Text: DOI
Tudor, Ciprian A.; Zurcher, Jérémy The spatial sojourn time for the solution to the wave equation with moving time: central and non-central limit theorems. (English) Zbl 1539.60021 Stochastic Processes Appl. 172, Article ID 104333, 22 p. (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60H40 60H15 60H07 60G35 35L05 35R60 PDFBibTeX XMLCite \textit{C. A. Tudor} and \textit{J. Zurcher}, Stochastic Processes Appl. 172, Article ID 104333, 22 p. (2024; Zbl 1539.60021) Full Text: DOI
Araújo, G.; Fenoy, M.; Fernández-Sánchez, J.; López-Salazar, J.; Seoane-Sepúlveda, J. B.; Vecina, J. M. Modes of convergence of random variables and algebraic genericity. (English) Zbl 1535.60036 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 2, Paper No. 63, 24 p. (2024). MSC: 60F05 46B87 26A27 PDFBibTeX XMLCite \textit{G. Araújo} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 2, Paper No. 63, 24 p. (2024; Zbl 1535.60036) Full Text: DOI OA License
Barbour, A. D.; Ross, Nathan; Zheng, Guangqu Stein’s method, smoothing and functional approximation. (English) Zbl 1536.60025 Electron. J. Probab. 29, Paper No. 20, 29 p. (2024). MSC: 60F05 60F17 60G15 PDFBibTeX XMLCite \textit{A. D. Barbour} et al., Electron. J. Probab. 29, Paper No. 20, 29 p. (2024; Zbl 1536.60025) Full Text: DOI arXiv
Gaunt, Robert E.; Sutcliffe, Heather Improved bounds in Stein’s method for functions of multivariate normal random vectors. (English) Zbl 1535.60041 J. Theor. Probab. 37, No. 1, 642-670 (2024). MSC: 60F05 62E17 PDFBibTeX XMLCite \textit{R. E. Gaunt} and \textit{H. Sutcliffe}, J. Theor. Probab. 37, No. 1, 642--670 (2024; Zbl 1535.60041) Full Text: DOI arXiv OA License
Peligrad, Magda On the quenched CLT for stationary Markov chains. (English) Zbl 1536.60028 J. Theor. Probab. 37, No. 1, 603-622 (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60F15 60J05 60G10 PDFBibTeX XMLCite \textit{M. Peligrad}, J. Theor. Probab. 37, No. 1, 603--622 (2024; Zbl 1536.60028) Full Text: DOI arXiv
Berkes, István; Hörmann, Siegfried Some optimal conditions for the ASCLT. (English) Zbl 1535.60039 J. Theor. Probab. 37, No. 1, 209-227 (2024). MSC: 60F05 60F15 60G50 PDFBibTeX XMLCite \textit{I. Berkes} and \textit{S. Hörmann}, J. Theor. Probab. 37, No. 1, 209--227 (2024; Zbl 1535.60039) Full Text: DOI OA License
Lê Vǎn Thành On Rio’s proof of limit theorems for dependent random fields. (English) Zbl 1535.60046 Stochastic Processes Appl. 171, Article ID 104313, 23 p. (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60F15 60F25 60E15 PDFBibTeX XMLCite \textit{Lê Vǎn Thành}, Stochastic Processes Appl. 171, Article ID 104313, 23 p. (2024; Zbl 1535.60046) Full Text: DOI
Cipolloni, Giorgio; Erdős, László; Schröder, Dominik Mesoscopic central limit theorem for non-Hermitian random matrices. (English) Zbl 07819902 Probab. Theory Relat. Fields 188, No. 3-4, 1131-1182 (2024). MSC: 60F05 60B20 15B52 PDFBibTeX XMLCite \textit{G. Cipolloni} et al., Probab. Theory Relat. Fields 188, No. 3--4, 1131--1182 (2024; Zbl 07819902) Full Text: DOI arXiv
Maini, Leonardo; Nourdin, Ivan Spectral central limit theorem for additive functionals of isotropic and stationary Gaussian fields. (English) Zbl 1534.60036 Ann. Probab. 52, No. 2, 737-763 (2024). MSC: 60F05 60H07 60G15 PDFBibTeX XMLCite \textit{L. Maini} and \textit{I. Nourdin}, Ann. Probab. 52, No. 2, 737--763 (2024; Zbl 1534.60036) Full Text: DOI arXiv Link
Dung, Nguyen Tien; Hang, Nguyen Thu; Cuong, Tran Manh Optimal total variation bounds for stochastic differential delay equations with small noises. (English) Zbl 1534.60033 J. Stat. Phys. 191, No. 2, Paper No. 24, 20 p. (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60H07 60H10 35R60 PDFBibTeX XMLCite \textit{N. T. Dung} et al., J. Stat. Phys. 191, No. 2, Paper No. 24, 20 p. (2024; Zbl 1534.60033) Full Text: DOI
Gavalakis, Lampros; Kontoyiannis, Ioannis Entropy and the discrete central limit theorem. (English) Zbl 1534.60034 Stochastic Processes Appl. 170, Article ID 104294, 10 p. (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 94A17 60E15 PDFBibTeX XMLCite \textit{L. Gavalakis} and \textit{I. Kontoyiannis}, Stochastic Processes Appl. 170, Article ID 104294, 10 p. (2024; Zbl 1534.60034) Full Text: DOI arXiv
Csörgő, Miklós Randomized empirical processes and confidence bands via virtual resampling. (English) Zbl 1534.60032 Stochastic Processes Appl. 170, Article ID 104290, 15 p. (2024). MSC: 60F05 62G20 62G09 62G30 PDFBibTeX XMLCite \textit{M. Csörgő}, Stochastic Processes Appl. 170, Article ID 104290, 15 p. (2024; Zbl 1534.60032) Full Text: DOI arXiv
Cong, Tianshu; Xia, Aihua Normal approximation in total variation for statistics in geometric probability. (English) Zbl 1534.60031 Adv. Appl. Probab. 56, No. 1, 106-155 (2024). Reviewer: Pavel Stoynov (Sofia) MSC: 60F05 60D05 60G55 62E20 PDFBibTeX XMLCite \textit{T. Cong} and \textit{A. Xia}, Adv. Appl. Probab. 56, No. 1, 106--155 (2024; Zbl 1534.60031) Full Text: DOI arXiv
Bryc, Włodzimierz; Wang, Yizao Fluctuations of random Motzkin paths. II. (English) Zbl 1533.60026 ALEA, Lat. Am. J. Probab. Math. Stat. 21, No. 1, 73-94 (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60K35 PDFBibTeX XMLCite \textit{W. Bryc} and \textit{Y. Wang}, ALEA, Lat. Am. J. Probab. Math. Stat. 21, No. 1, 73--94 (2024; Zbl 1533.60026) Full Text: arXiv Link
Chen, Huiping Optimal rate of convergence for vector-valued Wiener-Itô integral. (English) Zbl 1534.60030 ALEA, Lat. Am. J. Probab. Math. Stat. 21, No. 1, 179-214 (2024). Reviewer: Javad Asadzade (Famagusta) MSC: 60F05 60G15 60H05 PDFBibTeX XMLCite \textit{H. Chen}, ALEA, Lat. Am. J. Probab. Math. Stat. 21, No. 1, 179--214 (2024; Zbl 1534.60030) Full Text: arXiv Link
Barman, Kalyan; Upadhye, Neelesh S. On Stein factors for Laplace approximation and their application to random sums. (English) Zbl 1535.60038 Stat. Probab. Lett. 206, Article ID 109996, 8 p. (2024). Reviewer: Carlo Sempi (Lecce) MSC: 60F05 60E05 60E10 62E17 PDFBibTeX XMLCite \textit{K. Barman} and \textit{N. S. Upadhye}, Stat. Probab. Lett. 206, Article ID 109996, 8 p. (2024; Zbl 1535.60038) Full Text: DOI
Weber, Michel J. G. On Mukhin’s necessary and sufficient condition for the validity of the local limit theorem. (English) Zbl 1531.60025 Forum Math. 36, No. 1, 1-4 (2024). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{M. J. G. Weber}, Forum Math. 36, No. 1, 1--4 (2024; Zbl 1531.60025) Full Text: DOI arXiv
Chang, Jinyuan; Chen, Xiaohui; Wu, Mingcong Central limit theorems for high dimensional dependent data. (English) Zbl 1530.60022 Bernoulli 30, No. 1, 712-742 (2024). MSC: 60F05 62F35 62F40 PDFBibTeX XMLCite \textit{J. Chang} et al., Bernoulli 30, No. 1, 712--742 (2024; Zbl 1530.60022) Full Text: DOI arXiv
Das, Debraj Central limit theorem and near classical Berry-Esseen rate for self normalized sums in high dimensions. (English) Zbl 1530.60023 Bernoulli 30, No. 1, 278-303 (2024). MSC: 60F05 PDFBibTeX XMLCite \textit{D. Das}, Bernoulli 30, No. 1, 278--303 (2024; Zbl 1530.60023) Full Text: DOI arXiv
Addario-Berry, Louigi; Beckman, Erin; Lin, Jessica Symmetric cooperative motion in one dimension. (English) Zbl 1530.60020 Probab. Theory Relat. Fields 188, No. 1-2, 625-666 (2024). MSC: 60F05 60K35 39A12 35K61 35K92 65M12 PDFBibTeX XMLCite \textit{L. Addario-Berry} et al., Probab. Theory Relat. Fields 188, No. 1--2, 625--666 (2024; Zbl 1530.60020) Full Text: DOI arXiv
Huang, Jiaoyang Edge statistics for Lozenge tilings of polygons. I: Concentration of height function on strip domains. (English) Zbl 1534.60035 Probab. Theory Relat. Fields 188, No. 1-2, 337-485 (2024). Reviewer: Viktor Ohanyan (Erevan) MSC: 60F05 60K35 82B20 PDFBibTeX XMLCite \textit{J. Huang}, Probab. Theory Relat. Fields 188, No. 1--2, 337--485 (2024; Zbl 1534.60035) Full Text: DOI arXiv
Liu, Hui; Xiong, Yudan; Xu, Fangjun Limit theorems for functionals of long memory linear processes with infinite variance. (English) Zbl 1530.60025 Stochastic Processes Appl. 167, Article ID 104237, 23 p. (2024). Reviewer: Edward Omey (Brussel) MSC: 60F05 60G10 60E07 60E10 60K99 26A12 PDFBibTeX XMLCite \textit{H. Liu} et al., Stochastic Processes Appl. 167, Article ID 104237, 23 p. (2024; Zbl 1530.60025) Full Text: DOI arXiv
Wang, Ya; Wu, Fuke; Yin, George Limit theorems of additive functionals for regime-switching diffusions with infinite delay. (English) Zbl 1531.60024 Stochastic Processes Appl. 167, Article ID 104215, 28 p. (2024). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 60F05 60B12 60H20 PDFBibTeX XMLCite \textit{Y. Wang} et al., Stochastic Processes Appl. 167, Article ID 104215, 28 p. (2024; Zbl 1531.60024) Full Text: DOI
Kongkam, Pronsuda; Teerapaolarn, Kanint A new uniform bound on Poisson approximation. (English) Zbl 1538.60039 Int. J. Math. Comput. Sci. 19, No. 2, 411-417 (2024). MSC: 60F05 62E17 60E15 PDFBibTeX XMLCite \textit{P. Kongkam} and \textit{K. Teerapaolarn}, Int. J. Math. Comput. Sci. 19, No. 2, 411--417 (2024; Zbl 1538.60039) Full Text: Link
Kabluchko, Zakhar; Marynych, Alexander; Pitters, Helmut Mod-\( \phi\) convergence of Stirling distributions and limit theorems for zeros of their generating functions. (English) Zbl 1527.60022 J. Math. Anal. Appl. 529, No. 1, Article ID 127571, 27 p. (2024). Reviewer: Ludwig Paditz (Dresden) MSC: 60F05 60C05 05A15 11B73 PDFBibTeX XMLCite \textit{Z. Kabluchko} et al., J. Math. Anal. Appl. 529, No. 1, Article ID 127571, 27 p. (2024; Zbl 1527.60022) Full Text: DOI arXiv
Aljovin, Enzo; Jara, Milton; Xiang, Yangrui Thermalization And Convergence To Equilibrium Of The Noisy Voter Model. arXiv:2409.05722 Preprint, arXiv:2409.05722 [math.PR] (2024). MSC: 60F05 60J27 92D25 BibTeX Cite \textit{E. Aljovin} et al., ``Thermalization And Convergence To Equilibrium Of The Noisy Voter Model'', Preprint, arXiv:2409.05722 [math.PR] (2024) Full Text: arXiv OA License
Trauthwein, Tara Multivariate Second-Order \(p\)-Poincaré Inequalities. arXiv:2409.02843 Preprint, arXiv:2409.02843 [math.PR] (2024). MSC: 60F05 60H07 60G55 60D05 BibTeX Cite \textit{T. Trauthwein}, ``Multivariate Second-Order $p$-Poincaré Inequalities'', Preprint, arXiv:2409.02843 [math.PR] (2024) Full Text: arXiv OA License
Roos, Bero On the Poisson approximation of random diagonal sums of Bernoulli matrices. arXiv:2409.01845 Preprint, arXiv:2409.01845 [math.PR] (2024). MSC: 60F05 62E17 BibTeX Cite \textit{B. Roos}, ``On the Poisson approximation of random diagonal sums of Bernoulli matrices'', Preprint, arXiv:2409.01845 [math.PR] (2024) Full Text: arXiv OA License
Aida, Shigeki; Naganuma, Nobuaki Hölder estimates and weak convergences of certain weighted sum processes. arXiv:2408.05255 Preprint, arXiv:2408.05255 [math.PR] (2024). MSC: 60F05 60H35 60G15 BibTeX Cite \textit{S. Aida} and \textit{N. Naganuma}, ``Hölder estimates and weak convergences of certain weighted sum processes'', Preprint, arXiv:2408.05255 [math.PR] (2024) Full Text: arXiv OA License
Dorogovtsev, Andrey; Konarovskyi, Vitalii; von Renesse, Max A Central Limit Theorem for Modified Massive Arratia Flow. arXiv:2408.05030 Preprint, arXiv:2408.05030 [math.PR] (2024). MSC: 60F05 60K35 60H40 60G57 BibTeX Cite \textit{A. Dorogovtsev} et al., ``A Central Limit Theorem for Modified Massive Arratia Flow'', Preprint, arXiv:2408.05030 [math.PR] (2024) Full Text: arXiv OA License
Döring, Hanna; de Jonge, Lianne Limit theorems for the number of crossings and stress in projections of the random geometric graph. arXiv:2408.03218 Preprint, arXiv:2408.03218 [math.PR] (2024). MSC: 60F05 60D05 BibTeX Cite \textit{H. Döring} and \textit{L. de Jonge}, ``Limit theorems for the number of crossings and stress in projections of the random geometric graph'', Preprint, arXiv:2408.03218 [math.PR] (2024) Full Text: arXiv OA License
Häusler, Erich; Luschgy, Harald On stable central limit theorems for multivariate discrete-time martingales. arXiv:2407.18633 Preprint, arXiv:2407.18633 [math.PR] (2024). MSC: 60F05 60G42 62F12 62H12 62M10 BibTeX Cite \textit{E. Häusler} and \textit{H. Luschgy}, ``On stable central limit theorems for multivariate discrete-time martingales'', Preprint, arXiv:2407.18633 [math.PR] (2024) Full Text: arXiv OA License
Spodarev, Evgeny A Fubini-type limit theorem for the integrated hyperuniform infinitely divisible moving averages. arXiv:2407.06806 Preprint, arXiv:2407.06806 [math.PR] (2024). MSC: 60F05 BibTeX Cite \textit{E. Spodarev}, ``A Fubini-type limit theorem for the integrated hyperuniform infinitely divisible moving averages'', Preprint, arXiv:2407.06806 [math.PR] (2024) Full Text: arXiv OA License
Chen, Huiping; Chen, Yong; Liu, Yong Berry-Esséen bound for complex Wiener-Itô integral. arXiv:2407.05353 Preprint, arXiv:2407.05353 [math.PR] (2024). MSC: 60F05 60G15 60H05 BibTeX Cite \textit{H. Chen} et al., ``Berry-Esséen bound for complex Wiener-Itô integral'', Preprint, arXiv:2407.05353 [math.PR] (2024) Full Text: arXiv OA License
Kuba, Markus On Pólya-Young urn models and growth processes. arXiv:2406.19110 Preprint, arXiv:2406.19110 [math.PR] (2024). MSC: 60F05 60C05 60G42 BibTeX Cite \textit{M. Kuba}, ``On Pólya-Young urn models and growth processes'', Preprint, arXiv:2406.19110 [math.PR] (2024) Full Text: arXiv OA License
Lee, Mitchell Central limits from generating functions. arXiv:2406.17874 Preprint, arXiv:2406.17874 [math.PR] (2024). MSC: 60F05 BibTeX Cite \textit{M. Lee}, ``Central limits from generating functions'', Preprint, arXiv:2406.17874 [math.PR] (2024) Full Text: arXiv OA License
Veretennikov, Alexander; Nurieva, Aisha On Dobrushin’s central limit theorem for non-homogeneous Markov chain array scheme. arXiv:2406.16156 Preprint, arXiv:2406.16156 [math.PR] (2024). MSC: 60F05 BibTeX Cite \textit{A. Veretennikov} and \textit{A. Nurieva}, ``On Dobrushin's central limit theorem for non-homogeneous Markov chain array scheme'', Preprint, arXiv:2406.16156 [math.PR] (2024) Full Text: arXiv OA License
Krishnan, Kesav; Ray, Gourab Uniqueness and CLT for the Ground State of the Disordered Monomer-Dimer Model on \(\mathbb{Z}^{d}\). arXiv:2406.13089 Preprint, arXiv:2406.13089 [math-ph] (2024). MSC: 60F05 82B44 82B20 BibTeX Cite \textit{K. Krishnan} and \textit{G. Ray}, ``Uniqueness and CLT for the Ground State of the Disordered Monomer-Dimer Model on $\mathbb{Z}^{d}$'', Preprint, arXiv:2406.13089 [math-ph] (2024) Full Text: arXiv OA License
Bourguin, Solesne; Dang, Thanh; Hu, Yaozhong Non-central limit of densities of some functionals of Gaussian processes. arXiv:2406.12722 Preprint, arXiv:2406.12722 [math.PR] (2024). MSC: 60F05 60H07 BibTeX Cite \textit{S. Bourguin} et al., ``Non-central limit of densities of some functionals of Gaussian processes'', Preprint, arXiv:2406.12722 [math.PR] (2024) Full Text: arXiv OA License
Ulyanov, Vladimir V. From classical to modern central limit theorems. arXiv:2405.19828 Preprint, arXiv:2405.19828 [math.PR] (2024). MSC: 60F05 60-03 BibTeX Cite \textit{V. V. Ulyanov}, ``From classical to modern central limit theorems'', Preprint, arXiv:2405.19828 [math.PR] (2024) Full Text: arXiv OA License
Akhmiarova, Alina; Veretennikov, Alexander On the Law of Large Numbers for non-equally distributed weakly dependent random variables. arXiv:2405.17850 Preprint, arXiv:2405.17850 [math.PR] (2024). MSC: 60F05 BibTeX Cite \textit{A. Akhmiarova} and \textit{A. Veretennikov}, ``On the Law of Large Numbers for non-equally distributed weakly dependent random variables'', Preprint, arXiv:2405.17850 [math.PR] (2024) Full Text: arXiv OA License
Dunlap, Alexander; Graham, Cole Edwards-Wilkinson fluctuations in subcritical 2D stochastic heat equations. arXiv:2405.09520 Preprint, arXiv:2405.09520 [math.PR] (2024). MSC: 60F05 60H15 35R60 82B44 BibTeX Cite \textit{A. Dunlap} and \textit{C. Graham}, ``Edwards-Wilkinson fluctuations in subcritical 2D stochastic heat equations'', Preprint, arXiv:2405.09520 [math.PR] (2024) Full Text: arXiv OA License
Bhar, Suprio; Mukherjee, Ritwik; Patil, Prathmesh An improved version of Kac’s Central Limit Theorem. arXiv:2405.06881 Preprint, arXiv:2405.06881 [math.PR] (2024). MSC: 60F05 37A99 BibTeX Cite \textit{S. Bhar} et al., ``An improved version of Kac's Central Limit Theorem'', Preprint, arXiv:2405.06881 [math.PR] (2024) Full Text: arXiv OA License
Levy, Matthew; Squillace, Joseph A Generalization of the Erdős-Kac Theorem. arXiv:2405.06860 Preprint, arXiv:2405.06860 [math.NT] (2024). MSC: 60F05 11N37 BibTeX Cite \textit{M. Levy} and \textit{J. Squillace}, ``A Generalization of the Erdős-Kac Theorem'', Preprint, arXiv:2405.06860 [math.NT] (2024) Full Text: arXiv OA License
Kroll, Marius Asymptotic Normality of \(U\)-Statistics is Equivalent to Convergence in the Wasserstein Distance. arXiv:2405.06477 Preprint, arXiv:2405.06477 [math.ST] (2024). MSC: 60F05 60F25 60G50 BibTeX Cite \textit{M. Kroll}, ``Asymptotic Normality of $U$-Statistics is Equivalent to Convergence in the Wasserstein Distance'', Preprint, arXiv:2405.06477 [math.ST] (2024) Full Text: arXiv OA License
Bai, Tianyi; Delmas, Jean-François; Hu, Yueyun Branching capacity of a random walk in \(\mathbb Z^5\). arXiv:2404.19447 Preprint, arXiv:2404.19447 [math.PR] (2024). MSC: 60F05 60J45 60J80 BibTeX Cite \textit{T. Bai} et al., ``Branching capacity of a random walk in $\mathbb Z^5$'', Preprint, arXiv:2404.19447 [math.PR] (2024) Full Text: arXiv OA License
Ekström, Henrik A Central Limit Theorem and Exponential Correlation Decay for the Coulomb Chain. arXiv:2404.14884 Preprint, arXiv:2404.14884 [math.PR] (2024). MSC: 60F05 82D05 BibTeX Cite \textit{H. Ekström}, ``A Central Limit Theorem and Exponential Correlation Decay for the Coulomb Chain'', Preprint, arXiv:2404.14884 [math.PR] (2024) Full Text: arXiv OA License
Magnanini, Elena; Passuello, Giacomo Statistics for the triangle density in ERGM and its mean-field approximation. arXiv:2404.10106 Preprint, arXiv:2404.10106 [math.PR] (2024). MSC: 60F05 60F15 05C80 60F10 60B10 BibTeX Cite \textit{E. Magnanini} and \textit{G. Passuello}, ``Statistics for the triangle density in ERGM and its mean-field approximation'', Preprint, arXiv:2404.10106 [math.PR] (2024) Full Text: arXiv OA License
Kevei, Péter; Viharos, László Generalized Rényi statistics. arXiv:2404.03548 Preprint, arXiv:2404.03548 [math.ST] (2024). MSC: 60F05 62G32 BibTeX Cite \textit{P. Kevei} and \textit{L. Viharos}, ``Generalized Rényi statistics'', Preprint, arXiv:2404.03548 [math.ST] (2024) Full Text: arXiv OA License
Fang, Xiao; Liu, Song-Hao; Shao, Qi-Man Normal approximation for exponential random graphs. arXiv:2404.01666 Preprint, arXiv:2404.01666 [math.PR] (2024). MSC: 60F05 05C80 BibTeX Cite \textit{X. Fang} et al., ``Normal approximation for exponential random graphs'', Preprint, arXiv:2404.01666 [math.PR] (2024) Full Text: arXiv OA License
Angst, Jürgen; Herry, Ronan; Malicet, Dominique; Poly, Guillaume Sharp total variation rates of convergence for fluctuations of linear statistics of \(\beta\)-ensembles. arXiv:2403.17211 Preprint, arXiv:2403.17211 [math.PR] (2024). MSC: 60F05 60K35 60B10 60B20 82B05 60G15 BibTeX Cite \textit{J. Angst} et al., ``Sharp total variation rates of convergence for fluctuations of linear statistics of $\beta$-ensembles'', Preprint, arXiv:2403.17211 [math.PR] (2024) Full Text: arXiv OA License
Döbler, Christian New bounds for normal approximation on product spaces with applications to monochromatic edges, random sums and an infinite de Jong CLT. arXiv:2403.14334 Preprint, arXiv:2403.14334 [math.PR] (2024). MSC: 60F05 60H07 BibTeX Cite \textit{C. Döbler}, ``New bounds for normal approximation on product spaces with applications to monochromatic edges, random sums and an infinite de Jong CLT'', Preprint, arXiv:2403.14334 [math.PR] (2024) Full Text: arXiv OA License
Chin, Calvin Wooyoung A Proof of the Central Limit Theorem Using the \(2\)-Wasserstein Metric. arXiv:2402.17085 Preprint, arXiv:2402.17085 [math.PR] (2024). MSC: 60F05 BibTeX Cite \textit{C. W. Chin}, ``A Proof of the Central Limit Theorem Using the $2$-Wasserstein Metric'', Preprint, arXiv:2402.17085 [math.PR] (2024) Full Text: arXiv OA License
Isopi, Marco; Scoppola, Benedetto; Troiani, Alessio On some features of Quadratic Unconstrained Binary Optimization with random coefficients. arXiv:2402.17059 Preprint, arXiv:2402.17059 [math.PR] (2024). MSC: 60F05 82B44 90C20 BibTeX Cite \textit{M. Isopi} et al., ``On some features of Quadratic Unconstrained Binary Optimization with random coefficients'', Preprint, arXiv:2402.17059 [math.PR] (2024) Full Text: arXiv OA License
Cosco, Clément; Donadini, Anna On the Central Limit Theorem for the log-partition function of 2D directed polymers. arXiv:2402.14647 Preprint, arXiv:2402.14647 [math.PR] (2024). MSC: 60F05 82D60 82B44 60G50 BibTeX Cite \textit{C. Cosco} and \textit{A. Donadini}, ``On the Central Limit Theorem for the log-partition function of 2D directed polymers'', Preprint, arXiv:2402.14647 [math.PR] (2024) Full Text: arXiv OA License
Bai, Tianyi; Delmas, Jean-François; Hu, Yueyun Branching capacity and Brownian snake capacity. arXiv:2402.13735 Preprint, arXiv:2402.13735 [math.PR] (2024). MSC: 60F05 60J45 60J80 BibTeX Cite \textit{T. Bai} et al., ``Branching capacity and Brownian snake capacity'', Preprint, arXiv:2402.13735 [math.PR] (2024) Full Text: arXiv OA License
Dey, Partha S.; Terlov, Grigory Random optimization problems at fixed temperatures. arXiv:2402.07825 Preprint, arXiv:2402.07825 [math.PR] (2024). MSC: 60F05 82B44 90C27 BibTeX Cite \textit{P. S. Dey} and \textit{G. Terlov}, ``Random optimization problems at fixed temperatures'', Preprint, arXiv:2402.07825 [math.PR] (2024) Full Text: arXiv OA License
Loomis, Alex; Sethuraman, Sunder Higher energy state approximations in the ‘Many Interacting Worlds’ model. arXiv:2401.15512 Preprint, arXiv:2401.15512 [math-ph] (2024). MSC: 60F05 81Q65 BibTeX Cite \textit{A. Loomis} and \textit{S. Sethuraman}, ``Higher energy state approximations in the `Many Interacting Worlds' model'', Preprint, arXiv:2401.15512 [math-ph] (2024) Full Text: arXiv OA License
Lin, Zeqin; Pan, Guangming; Zhao, Peng; Zhou, Jia Asymptotic distribution of spiked eigenvalues in the large signal-plus-noise models. arXiv:2401.11672 Preprint, arXiv:2401.11672 [math.ST] (2024). MSC: 60F05 60E05 BibTeX Cite \textit{Z. Lin} et al., ``Asymptotic distribution of spiked eigenvalues in the large signal-plus-noise models'', Preprint, arXiv:2401.11672 [math.ST] (2024) Full Text: arXiv OA License
Ma, Zhi-Ming; Yao, Liu-Quan; Yuan, Shuai; Zhang, Hua-Zi Entropic Conditional Central Limit Theorem and Hadamard Compression. arXiv:2401.11383 Preprint, arXiv:2401.11383 [math.PR] (2024). MSC: 60F05 28D20 68P30 94A17 62B10 94A29 BibTeX Cite \textit{Z.-M. Ma} et al., ``Entropic Conditional Central Limit Theorem and Hadamard Compression'', Preprint, arXiv:2401.11383 [math.PR] (2024) Full Text: arXiv OA License
Yao, Liu-Quan; Liu, Song-Hao Symmetric KL-divergence by Stein’s Method. arXiv:2401.11381 Preprint, arXiv:2401.11381 [math.PR] (2024). MSC: 60F05 60G50 BibTeX Cite \textit{L.-Q. Yao} and \textit{S.-H. Liu}, ``Symmetric KL-divergence by Stein's Method'', Preprint, arXiv:2401.11381 [math.PR] (2024) Full Text: arXiv OA License
Kapusteĭ, M. M.; Slyusarchuk, P. V.; Boyaryshcheva, T. V. Exactness of an approximation in the central limit theorem in the term of truncated pseudomoments. (Ukrainian. English summary) Zbl 07909377 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 42, No. 1, 46-54 (2023). MSC: 60F05 60E05 PDFBibTeX XMLCite \textit{M. M. Kapusteĭ} et al., Nauk. Visn. Uzhgorod. Univ., Ser. Mat. Inform. 42, No. 1, 46--54 (2023; Zbl 07909377) Full Text: DOI
Chebunin, Mikhail Georgievich; Kovalevskii, Artyom Pavlovich Limit theorems for forward and backward processes of numbers of non-empty urns in infinite urn schemes. (English) Zbl 07896803 Sib. Èlektron. Mat. Izv. 20, No. 2, 913-922 (2023). MSC: 60F05 62F03 62F12 PDFBibTeX XMLCite \textit{M. G. Chebunin} and \textit{A. P. Kovalevskii}, Sib. Èlektron. Mat. Izv. 20, No. 2, 913--922 (2023; Zbl 07896803) Full Text: DOI arXiv MNR
Chou, Yu-Lin A general weak law of large numbers for sequences of \(L^p\) random variables. (English) Zbl 07894527 Commun. Math. 31, No. 1, 131-135 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60F25 PDFBibTeX XMLCite \textit{Y.-L. Chou}, Commun. Math. 31, No. 1, 131--135 (2023; Zbl 07894527) Full Text: DOI
Kolesnik, O. V. Central limit theorem for the number of records in \(F^{\alpha}\)-scheme. (Ukrainian. English summary) Zbl 07877849 Mohyla Math. J. 6, 35-38 (2023). MSC: 60F05 PDFBibTeX XMLCite \textit{O. V. Kolesnik}, Mohyla Math. J. 6, 35--38 (2023; Zbl 07877849) Full Text: DOI
Bishwal, Jaya P. N. On the sieve estimator for fractional SPDEs from discrete observations. (English) Zbl 07850865 Markov Process. Relat. Fields 29, No. 3, 367-402 (2023). Reviewer: Luis Vázquez (Madrid) MSC: 60F05 60F25 60G22 60G44 60H10 60H15 60H35 62F12 62G05 62M07 62M09 PDFBibTeX XMLCite \textit{J. P. N. Bishwal}, Markov Process. Relat. Fields 29, No. 3, 367--402 (2023; Zbl 07850865) Full Text: Link
Asselah, Amine; Schapira, Bruno Extracting subsets maximizing capacity and folding of random walks. (Sous-ensembles de capacité maximale et marches aléatoires.) (English. French summary) Zbl 1539.60018 Ann. Sci. Éc. Norm. Supér. (4) 56, No. 5, 1565-1582 (2023). Reviewer: Hernando Burgos-Soto (Toronto) MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{A. Asselah} and \textit{B. Schapira}, Ann. Sci. Éc. Norm. Supér. (4) 56, No. 5, 1565--1582 (2023; Zbl 1539.60018) Full Text: DOI arXiv