检索结果-南通市图书馆

Science China Mathematics 2024年

作者： Yanqing Yin Huiqin Li zhidong bai School of Mathematics and Statistics Chongqing University School of Mathematics and Statistics Northeast Normal University

In this paper, we focus on the test for high-dimensional covariance structures using doublenormalized observations for an elliptical population. By investigating the limiting spectral properties of the sample covariance matrix of double-normalized observations, we propose test statistics applicable for testing the diagonality of the population covariance matrix. Extensive simulations are conducted to investigate the performances of the proposed test in various situations.

关键词：

A review of 20 years of naive tests of significance for high-dimensional mean vectors and covariance matrices

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 2016年第12期59卷 2281-2300页

作者： HU Jiang bai zhidong Key Laboratory for Applied Statistics of Ministry of Education Northeast Normal University

We introduce the so-called naive tests and give a brief review of the new developments. Naive testing methods are easy to understand and perform robustly, especially when the dimension is large. We focus mainly on reviewing some naive testing methods for the mean vectors and covariance matrices of high-dimensional populations, and we believe that this naive testing approach can be used widely in many other testing problems.

关键词： naive testing methods hypothesis testing high-dimensional data multivariate analysis of variance(MANOVA)

Limiting spectral distribution of high-dimensional noncentral Fisher matrices and its analysis

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2023年第2期66卷 393-408页

作者： Xiaozhuo Zhang zhidong bai Jiang Hu Key Laboratory of Applied Statistics of MOE School of Mathematics and StatisticsNortheast Normal UniversityChangchun 130024China

Fisher matrix is one of the most important statistics in multivariate statistical *** eigenvalues are of primary importance for many applications,such as testing the equality of mean vectors,testing the equality of covariance matrices and signal detection *** this paper,we establish the limiting spectral distribution of high-dimensional noncentral Fisher matrices and investigate its analytic *** particular,we show the determination criterion for the support of the limiting spectral distribution of the noncentral Fisher matrices,which is the base of investigating the high-dimensional problems concerned with noncentral Fisher matrices.

关键词： random matrix Fisher matrix empirical distribution function MANOVA Stieltjes transform

Weighted estimating equation： modified GEE in longitudinal data analysis

在线全文

学校读者我要写书评

暂无评论

Frontiers of Mathematics in China 2014年第2期9卷 329-353页

作者： Tianqing LIU zhidong bai Baoxue ZHANG School of Mathematics Jilin University Changchun 130012 China Key Laboratory for Applied Statistics of MOE and School of Mathematics and Statistics Northeast Normal University Changchun 130024 China

The method of generalized estimating equations （GEE） introduced by K. Y. Liang and S. L. Zeger has been widely used to analyze longitudinal data. Recently, this method has been criticized for a failure to protect against misspecification of working correlation models, which in some cases leads to loss of efficiency or infeasibility of solutions. In this paper, we present a new method named as ＇weighted estimating equations （WEE）＇ for estimating the correlation parameters. The new estimates of correlation parameters are obtained as the solutions of these weighted estimating equations. For some commonly assumed correlation structures, we show that there exists a unique feasible solution to these weighted estimating equations regardless the correlation structure is correctly specified or not. The new feasible estimates of correlation parameters are consistent when the working correlation structure is correctly specified. Simulation results suggest that the new method works well in finite samples.

关键词： Consistency correlation efficiency (GEE) longitudinal data positive definite estimating equation (WEE) generalized estimating equation repeated measures weighted

Testing the independence of sets of large-dimensional variables

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 2013年第1期56卷 135-147页

作者： JIANG DanDan bai zhidong ZHENG ShuRong School of Mathematics Jilin University KLAS and School of Mathematics and Statistics Northeast Normal University

This paper proposes the corrected likelihood ratio test （LRT） and large-dimensional trace criterion to test the independence of two large sets of multivariate variables of dimensions P1 and P2 when the dimensions P = P1 ＋ P2 and the sample size n tend to infinity simultaneously and proportionally. Both theoretical and simulation results demonstrate that the traditional X2 approximation of the LRT performs poorly when the dimension p is large relative to the sample size n, while the corrected LRT and large-dimensional trace criterion behave well when the dimension is either small or large relative to the sample size. Moreover, the trace criterion can be used in the case of p 〉 n, while the corrected LRT is unfeasible due to the loss of definition.

关键词： large-dimensional data analysis independence test random F-matrices

A KIND OF URN MODEL FOR ADAPTIVE SEQUENTIAL DESIGN

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2001年第2期21卷 224-228页

作者：白志东陈桂景胡飞芳 Department of Statistics & Applied Probability National University of Singapore Singapore Department of Mathematics Anhui University Hefei 230039 China

This paper proposes a new kind of generalized Friendman's urn model,which with adaptive nonhomogeneous generating *** model may be applied in sequential medical *** this model some limit theorems (strong consistency a... 详细信息

关键词： Generalized Friedman's urn,adaptive sequetial design,generating matrix strong consistency,asymptotical normality

Transport of intensity diffraction tomography with non-interferometric synthetic aperture for three-dimensional label-free microscopy

在线全文

学校读者我要写书评

暂无评论

Light(Science & Applications) 2022年第10期11卷 2294-2307页

作者： Jiaji Li Ning Zhou Jiasong Sun Shun Zhou zhidong bai Linpeng Lu Qian Chen Chao Zuo School of Electronic and Optical Engineering Nanjing University of Science and TechnologyNo.200 Xiaolingwei StreetNanjingJiangsu Province 210094China Jiangsu Key Laboratory of Spectral Imaging&Intelligent Sense Nanjing University of Science and TechnologyNanjingJiangsu Province 210094China Smart Computational Imaging Laboratory(SCILab) Nanjing University of Science and TechnologyNanjingJiangsu Province 210094China

We present a new label-free three-dimensional(3D)microscopy technique,termed transport of intensity diffraction tomography with non-interferometric synthetic aperture(TIDT-NSA).Without resorting to interferometric detection,TIDT-NSA retrieves the 3D refractive index(RI)distribution of biological specimens from 3D intensity-only measurements at various illumination angles,allowing incoherent-diffraction-limited quantitative 3D phase-contrast *** unique combination of z-scanning the sample with illumination angle diversity in TIDT-NSA provides strong defocus phase contrast and better optical sectioning capabilities suitable for high-resolution tomography of thick biological *** on an off-the-shelf bright-field microscope with a programmable light-emitting-diode(LED)illumination source,TIDT-NSA achieves an imaging resolution of 206 nm laterally and 520 nm axially with a high-NA oil immersion *** validate the 3D RI tomographic imaging performance on various unlabeled fixed and live samples,including human breast cancer cell lines MCF-7,human hepatocyte carcinoma cell lines HepG2,mouse macrophage cell lines RAW 264.7,Caenorhabditis elegans(***),and live Henrietta Lacks(HeLa)*** results establish TIDT-NSA as a new non-interferometric approach to optical diffraction tomography and 3D label-free microscopy,permitting quantitative characterization of cell morphology and time-dependent subcellular changes for widespread biological and medical applications.

关键词： illumination intensity synthetic

A NECESSARY AND SUFFICIENT CONDITION FOR A DISTRIBU TION SATISFYING LIP-φ

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1984年第7期29卷 985-986页

作者：白志东 University of Science and Technology of China Hefei

Let ψ(x) be a continuous and strictly increasing function defined on [0,∞) with ψ(0)=0 and ψ(x)/x is nonincreasing. A function φ(x) is said to satisfy the condition Lip-ψ (denoted byφ ∈Lip-ψ) if there exists ... 详细信息

关键词： instead satisfy usual strictly 落口侧冲生七蔚云 holds 九式

A NEGATIVE ANSWER TO A QUESTION OF LINNIK AND OSTROVSKI'S

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1982年第12期27卷 1259-1261页

作者：白志东 University of Science and Technology of China Hefei

Ⅰ. INTRODUCTION Let ■ denote the set of those 1-dimensional characteristic functions which never vanish on the real line and let ■ denote the set of all 1-dimensional characteristic functions. Let ■ be the closure... 详细信息

关键词： closure topology univariate never answer winding 才全沁阳 otherwise 毛口

A SUFFICIENT CONDITION FOR AN INFINITELY DIVISIBLE DISTRIBUTION WITH ABSOLUTE CONTINUITY

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1981年第12期26卷 1061-1067页

作者：苏淳白志东 University of Science and Technology of China University of Science and Technology of China? INTRODUCTION It is well known that the characteristic function of an infinitely divisible distribution F(x) can be written as

Ⅰ. INTRODUCTION It is well known that the characteristic function of an infinitely divisible distribution F(x) can be written

关键词： infinitely absolutely constants Borel latter satisfied validity 场曲 noted hence