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Self-normalized Cramer-type Moderate Deviations for Functionals of Markov Chain

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Acta Mathematicae Applicatae Sinica 2020年第2期36卷 294-313页

作者： Xin-wei FENG qi-man shao Zhongtai Securities Institute for Financial Studies Shandong UniversityJinan 250100China Department of Statistics The Chinese University of Hong KongShatinN.T.Hong KongChina Department of Statistics and Data Science Southern University of Science and TechnologyShenzhen 518000China

Let{xn,n≥0}be a Markov chain with a countable state space S and let f(·)be a measurable function from S to R and consider the functionals of the Markov chain yn:=f(xn).We construct a new type of self-normalized sums based on the random-block scheme and establish a Crame′r-type moderate deviations for self-normalized sums of functionals of the Markov chain.

关键词： self-normalized partial sums Cramer-type moderate deviations Markov Chain ergodic

On the Longest Length of Consecutive Integers

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Acta Mathematica Sinica,English Series 2011年第2期27卷 329-338页

作者： Min Zhi ZHAO qi-man shao Department of Mathematics Zhejiang University Hangzhou 310027 P. R. China Department of Mathematics Hong Kong University of Science and Technology Clear Water Bay Kowloon Hong Kong P. R. China

Choose m numbers from the set {1,2,... ,n} at random without replacement. In this paper we first establish the limiting distribution of the longest length of consecutive integers and then apply the result to test rand... 详细信息

关键词： Sampling without replacement consecutive integers limit distribution test of randomness

Berry-Esseen Bounds for Self-Normalized Martingales

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Communications in Mathematics and Statistics 2018年第1期6卷 13-27页

作者： Xiequan Fan qi-man shao Center for Applied Mathematics Tianjin UniversityTianjin 300072China Department of Statistics Chinese University of Hong KongShatinNTHong Kong

A Berry–Esseen bound is obtained for self-normalized martingales under the assumption of finite *** bound coincides with the classical Berry–*** of the *** to Student’s statistic and autoregressive process are also... 详细信息

关键词： Self-normalized process Berry-Esseen bounds Martingales Student’s statistic Autoregressive process

Non-uniform Berry–Esseen Bounds forWeighted U-Statistics and Generalized L-Statistics

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Communications in Mathematics and Statistics 2013年第3期1卷 351-367页

作者： Haojun Hu qi-man shao Department of Mathematics Zhejiang UniversityHangzhouZhejiangChina Department of Statistics The Chinese University of Hong KongShatinNTHong KongChina

Weighted U-statistics and generalized L-statistics are commonly used in statistical inference and their asymptotic properties have been well *** this paper sharp non-uniform Berry–Esseen bounds for weighted U-statist... 详细信息

关键词： Weighted U-statistics Generalized L-statistic L-statistic U-statistic·Non-uniform Berry-Esseen bound Normal approximation

Single-cell omics: experimental workflow, data analyses and applications

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Science China Life Sciences 2025年第1期68卷 5-102页

作者： Fengying Sun Haoyan Li Dongqing Sun Shaliu Fu Lei Gu Xin shao qinqin Wang Xin Dong Bin Duan Feiyang Xing Jun Wu Minmin Xiao Fangqing Zhao Jing-Dong J.Han qi Liu Xiaohui Fan Chen Li Chenfei Wang Tieliu Shi Department of Clinical Laboratory the Affiliated Wuhu Hospital of East China Normal University (The Second People's Hospital of Wuhu City) Pharmaceutical Informatics Institute College of Pharmaceutical SciencesZhejiang University Key Laboratory of Spine and Spinal Cord Injury Repair and Regeneration (Tongji University) Ministry of EducationOrthopaedic DepartmentTongji HospitalBioinformatics DepartmentSchool of Life Sciences and TechnologyTongji University Frontier Science Center for Stem Cells School of Life Sciences and TechnologyTongji University Translational Medical Center for Stem Cell Therapy and Institute for Regenerative Medicine Shanghai East HospitalBioinformatics DepartmentSchool of Life Sciences and TechnologyTongji University Research Institute of Intelligent Computing Zhejiang Lab Shanghai Research Institute for Intelligent Autonomous Systems Center for Single-cell Omics School of Public HealthShanghai Jiao Tong University School of Medicine National Key Laboratory of Chinese Medicine Modernization Innovation Center of Yangtze River DeltaZhejiang University Center for Bioinformatics and Computational Biology Shanghai Key Laboratory of Regulatory Biologythe Institute of Biomedical Sciences and School of Life SciencesEast China Normal University Beijing Institutes of Life Science Chinese Academy of Sciences Peking-Tsinghua Center for Life Sciences Academy for Advanced Interdisciplinary StudiesCenter for Quantitative Biology (CQB)Peking University Zhejiang Key Laboratory of Precision Diagnosis and Therapy for Major Gynecological Diseases Women's HospitalZhejiang University School of Medicine Key Laboratory of Advanced Theory and Application in Statistics and Data Science-MOE School of StatisticsEast China Normal University

Cells are the fundamental units of biological systems and exhibit unique development trajectories and molecular features. Our exploration of how the genomes orchestrate the formation and maintenance of each cell, and control the cellular phenotypes of various organismsis, is both captivating and intricate. Since the inception of the first single-cell RNA technology, technologies related to single-cell sequencing have experienced rapid advancements in recent years. These technologies have expanded horizontally to include single-cell genome, epigenome,proteome, and metabolome, while vertically, they have progressed to integrate multiple omics data and incorporate additional information such as spatial sc RNA-seq and CRISPR screening. Single-cell omics represent a groundbreaking advancement in the biomedical field,offering profound insights into the understanding of complex diseases, including cancers. Here, we comprehensively summarize recent advances in single-cell omics technologies, with a specific focus on the methodology section. This overview aims to guide researchers in selecting appropriate methods for single-cell sequencing and related data analysis.

关键词： single-cell sequencing genome epigenome proteomics metabolomics multimodal spatial transcriptomics CRISPR screening

Identifying the limiting distribution by a general approach of Stein's method

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Science China Mathematics 2016年第12期59卷 2379-2392页

作者： shao qi-man ZHANG Zhuo-Song Department of Statistics The Chinese University of Hong Kong

A general exchange pair approach is developed to identify the limiting distribution for any sequence of random variables, by calculating the conditional mean and the conditional second moments. The error of approximation is also studied. In particular, a Berry-Esseen type bound of O(n^(-3/4)) is obtained for the Curie-Weiss model at the critical temperature.

关键词： Stein's method exchangeable pair limiting distribution Berry-Esseen bounds Curie-Weiss model

Self-normalization:Taming a wild population in a heavy-tailed world

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Applied Mathematics(A Journal of Chinese Universities) 2017年第3期32卷 253-269页

作者： shao qi-man ZHOU Wen-xin Department of Statistics The Chinese University of Hong Kong Department of Mathematics University of California

The past two decades have witnessed the active development of a rich probability theory of Studentized statistics or self-normalized processes, typified by Student’s t-statistic as introduced by W. S. Gosset more than a century ago, and their applications to statistical problems in high dimensions, including feature selection and ranking, large-scale multiple testing and sparse, high dimensional signal detection. many of these applications rely on the robustness property of Studentization/self-normalization against heavy-tailed sampling distributions. This paper gives an overview of the salient progress of self-normalized limit theory, from Student’s t-statistic to more general Studentized nonlinear statistics. Prototypical examples include Studentized one- and two-sample U-statistics. Furthermore, we go beyond independence and glimpse some very recent advances in self-normalized moderate deviations under dependence.

关键词： Berry-Esseen inequality Hotelling’s T 2-statistic large deviation moderate deviation self-normalization Student’s t-statistic U-statistic

Responses of soil nitrogen, phosphorous and organic matter to vegetation succession on the Loess Plateau of China

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Journal of Arid Land 2015年第2期7卷 216-223页

作者： man CHENG shao Shan AN College of Natural Resources and Environment Northwest A&F University State Key Laboratory of Soil Erosion and Dryland Farming on the Loess Plateau Northwest A&F University

Revegetation is a traditional practice widely used for soil protection. We evaluated the effect of natural revegetation succession on soil chemical properties and carbon fractions （particulate organic carbon （POC）, humus carbon （HS-C）, humic acid carbon （HA-C） and fulvic acid carbon （FA-C）） on the Loess Plateau of China. The vegetation types, in order from the shortest to the longest enclosure duration, were：（a） abandoned overgrazed grassland （AbG3; 3 years）; （b） Hierochloe odorata Beauv. （HiO7; 7 years）; （c） Thymus mongoficus Ronnm （ThM15; 15 years）; （d） Artemisia sacrorum Ledeb （AtS25; 25 years）; （e） Stipa bungeana Trin Ledeb （StB36; 36 years） and （f） Stipa grandis P. Smirn （StG56; 56 years）. The results showed that the concentrations of soil organic carbon, total nitrogen and available phosphorus increased with the increase of restoration time except for ThM15. The concen- tration of NH4-N increased in the medium stage （for ThM15 and AtS25） and decreased in the later stage （for StB36 and StG56） of vegetation restoration. However, NO3-N concentration significantly increased in the later stage （for StB36 and StG56）. Carbon fractions had a similar increasing trend during natural vegetation restoration. The con- centrations of POC, HS-C, FA-C and HA-C accounted for 24.5%-49.1%, 10.6%-15.2%, 5.8%-9.1% and 4.6%-6.1% of total carbon, respectively. For AbG3, the relative changes of POC, HS-C and FA-C were significantly higher than that of total carbon during the process of revegetation restoration. The higher relative increases in POC, HS-C and FA-C confirmed that soil carbon induced by vegetation restoration was sequestrated by higher physical and chemical protection. The increases of soil C fractions could also result in higher ecological function in semiarid grassland ecosystems.

关键词： particulate organic carbon humus carbon humic acid carbon fulvic acid carbon carbon fraction natural vegetation succession

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膝骨关节炎疼痛领域热点与前沿的可视化分析

中国组织工程研究 2025年第15期29卷 3280-3289页

作者：赵盾祁令臣徐金凡邵敏广州中医药大学广东省广州市510000 广州中医药大学顺德医院广东省广州市510000

背景:疼痛是膝骨关节炎的主要症状,严重影响老年患者的生活质量。膝骨关节炎疼痛机制复杂,涉及多组织、多学科,需要可视化分析了解其主要内容与研究热点。目的:运用文献计量学可视化软件分析归纳膝骨关节炎疼痛领域的前沿内容和研究热... 详细信息

背景:疼痛是膝骨关节炎的主要症状,严重影响老年患者的生活质量。膝骨关节炎疼痛机制复杂,涉及多组织、多学科,需要可视化分析了解其主要内容与研究热点。目的:运用文献计量学可视化软件分析归纳膝骨关节炎疼痛领域的前沿内容和研究热点。方法:从Web of Science核心合集(Web of Science Core Collection,WoSCC)中检索2014-2024年膝骨关节炎疼痛领域的相关文献,运用Citespace、VOSviewer和Bibliometrix R-package三个可视化软件进行文献计量与可视化分析。结果与结论:①膝骨关节炎疼痛研究的发文量呈现逐年递增的趋势;②美国、中国、澳大利亚是该领域10年内发文量排名前三的国家;波士顿大学、悉尼大学、弗洛里达大学是发文量前三的科研机构;《OSTEOARTHRITIS AND CARTILAGE》是出版该领域文献最多的期刊,《PAIN》则是该领域被引次数最多的期刊;发文量最多的作者是Fillingim Roger B,该领域的核心作者之间已经建立了一些稳定的团队,但国际性合作尚有欠缺;③膝骨关节炎疼痛患者的日常管理(运动、心理、智能管理)、疼痛的炎症机制、蛋白组学、联合用药、中枢敏化和疼痛调节是膝骨关节炎疼痛研究的重点内容;人工智能辅助、体外冲击波疗法、射频消融术、神经冷冻术、关节腔内注射血液或细胞制剂可能是该领域的研究前沿。

关键词： VOSviewer软件 Citespace软件 Bibliometrix R-package 文献计量学炎症因子体外冲击波疗法疼痛管理神经阻滞蛋白组学