Bouzebda, Salim; Taachouche, Nourelhouda Rates of the strong uniform consistency with rates for conditional \(U\)-statistics estimators with general kernels on manifolds. (English) Zbl 07897523 Math. Methods Stat. 33, No. 2, 95-153 (2024). MSC: 62Gxx × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Goldfeld, Ziv; Kato, Kengo; Rioux, Gabriel; Sadhu, Ritwik Limit theorems for entropic optimal transport maps and Sinkhorn divergence. (English) Zbl 07823233 Electron. J. Stat. 18, No. 1, 980-1041 (2024). MSC: 62G20 60F05 60F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chiang, Harold D.; Kato, Kengo; Sasaki, Yuya Inference for high-dimensional exchangeable arrays. (English) Zbl 07751793 J. Am. Stat. Assoc. 118, No. 543, 1595-1605 (2023). MSC: 62-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bouzebda, Salim; Taachouche, Nourelhouda On the variable bandwidth kernel estimation of conditional \(U\)-statistics at optimal rates in sup-norm. (English) Zbl 07723542 Physica A 625, Article ID 129000, 72 p. (2023). MSC: 82-XX 60F05 60G15 60G10 62G05 62G07 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Tao; Kato, Kengo; Ruppert, David Bootstrap inference for quantile-based modal regression. (English) Zbl 1514.62069 J. Am. Stat. Assoc. 118, No. 541, 122-134 (2023). MSC: 62G08 62G09 62P20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koike, Yuta High-dimensional central limit theorems for homogeneous sums. (English) Zbl 1514.60036 J. Theor. Probab. 36, No. 1, 1-45 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 62E17 47D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Song, Yanglei; Chen, Xiaohui; Kato, Kengo Stratified incomplete local simplex tests for curvature of nonparametric multiple regression. (English) Zbl 07634394 Bernoulli 29, No. 1, 323-349 (2023). MSC: 62Gxx 62Exx 60Fxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Chernozhuokov, Victor; Chetverikov, Denis; Kato, Kengo; Koike, Yuta Improved central limit theorem and bootstrap approximations in high dimensions. (English) Zbl 1539.62057 Ann. Stat. 50, No. 5, 2562-2586 (2022). MSC: 62E17 60F05 62F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Mengjia; Chen, Xiaohui A robust bootstrap change point test for high-dimensional location parameter. (English) Zbl 1493.62148 Electron. J. Stat. 16, No. 1, 1096-1152 (2022). MSC: 62F40 62G35 62E17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Döbler, Christian; Kasprzak, Mikołaj J.; Peccati, Giovanni Functional convergence of sequential \(U\)-processes with size-dependent kernels. (English) Zbl 1485.60037 Ann. Appl. Probab. 32, No. 1, 551-601 (2022). MSC: 60F17 62G20 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xiaohui; Kato, Kengo Randomized incomplete \(U\)-statistics in high dimensions. (English) Zbl 1435.62075 Ann. Stat. 47, No. 6, 3127-3156 (2019). Reviewer: Fraser Daly (Edinburgh) MSC: 62E17 62F40 62H15 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Song, Yanglei; Chen, Xiaohui; Kato, Kengo Approximating high-dimensional infinite-order \(U\)-statistics: statistical and computational guarantees. (English) Zbl 1434.62071 Electron. J. Stat. 13, No. 2, 4794-4848 (2019). MSC: 62G30 62E20 62H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid