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pro vyhledávání: '"Qi, Man"'
In this paper, we obtain the Berry-Esseen bound for multivariate normal approximation for the Polyak-Ruppert averaged iterates of the linear stochastic approximation (LSA) algorithm with decreasing step size. Our findings reveal that the fastest rate
Externí odkaz:
http://arxiv.org/abs/2405.16644
Autor:
Gadd, Matthew, De Martini, Daniele, Pitt, Luke, Tubby, Wayne, Towlson, Matthew, Prahacs, Chris, Bartlett, Oliver, Jackson, John, Qi, Man, Newman, Paul, Hector, Andrew, Salguero-Gómez, Roberto, Hawes, Nick
We describe a challenging robotics deployment in a complex ecosystem to monitor a rich plant community. The study site is dominated by dynamic grassland vegetation and is thus visually ambiguous and liable to drastic appearance change over the course
Externí odkaz:
http://arxiv.org/abs/2404.10446
The question of whether the central limit theorem (CLT) holds for the total number of edges in exponential random graph models (ERGMs) in the subcritical region of parameters has remained an open problem. In this paper, we establish the CLT in a subs
Externí odkaz:
http://arxiv.org/abs/2404.01666
Autor:
Fan, Xiequan, Shao, Qi-Man
Cram\'er's moderate deviations give a quantitative estimate for the relative error of the normal approximation and provide theoretical justifications for many estimator used in statistics. In this paper, we establish self-normalized Cram\'{e}r type m
Externí odkaz:
http://arxiv.org/abs/2309.05266
Autor:
Dao-Han Zhang, Chen Liang, Shu-Yang Hu, Xiao-Yong Huang, Lei Yu, Xian-Long Meng, Xiao-Jun Guo, Hai-Ying Zeng, Zhen Chen, Lv Zhang, Yan-Zi Pei, Mu Ye, Jia-Bin Cai, Pei-Xin Huang, Ying-Hong Shi, Ai-Wu Ke, Yi Chen, Yuan Ji, Yujiang Geno Shi, Jian Zhou, Jia Fan, Guo-Huan Yang, Qi-Man Sun, Guo-Ming Shi, Jia-Cheng Lu
Publikováno v:
Journal of Translational Medicine, Vol 22, Iss 1, Pp 1-15 (2024)
Abstract Single-cell technology depicts integrated tumor profiles including both tumor cells and tumor microenvironments, which theoretically enables more robust diagnosis than traditional diagnostic standards based on only pathology. However, the in
Externí odkaz:
https://doaj.org/article/e9d2b0231e9149bfa667fd275a856f8c
Autor:
Leung, Dennis, Shao, Qi-Man
We establish nonuniform Berry-Esseen (B-E) bounds for Studentized U-statistics of the rate $1/\sqrt{n}$ under a third-moment assumption, which covers the t-statistic that corresponds to a kernel of degree $1$ as a special case. While an interesting d
Externí odkaz:
http://arxiv.org/abs/2303.08619
We take another look at using Stein's method to establish uniform Berry-Esseen bounds for Studentized nonlinear statistics, highlighting variable censoring and an exponential randomized concentration inequality for a sum of censored variables as the
Externí odkaz:
http://arxiv.org/abs/2301.02098
Autor:
Fan, Xiequan, Shao, Qi-Man
Let $(\xi_i,\mathcal{F}_i)_{i\geq1}$ be a sequence of martingale differences. Set $X_n=\sum_{i=1}^n \xi_i $ and $ \langle X \rangle_n=\sum_{i=1}^n \mathbf{E}(\xi_i^2|\mathcal{F}_{i-1}).$ We prove Cram\'er's moderate deviation expansions for $\display
Externí odkaz:
http://arxiv.org/abs/2204.02562
Publikováno v:
In Chemical Engineering Journal 15 October 2024 498
Publikováno v:
In Ecological Indicators October 2024 167