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Joint asymptotic distribution of exceedances point process and partial sum of stationary Gaussian sequence

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Applied Mathematics(A Journal of Chinese Universities) 2011年第3期26卷 319-326页

作者： TAN Zhong-quan PENG zuo-xiang Department of Mathematics Zunyi Normal College Zunyi 563002 China Department of Mathematics Soochow University Suzhou 215006 China School of Mathematics and Statistics Southwest University Chongqing 400715 China

Let {Xi}i=1^∞ be a standardized stationary Gaussian sequence with covariance function τ（n） =EX1Xn＋1, Sn =∑i=1^nXi,and X^-n=Sn/*** let Nn be the point process formed by the exceedances of random level （x/√2 log n＋√2 log n-log（4π log n）/2√log n） √1-τ（n）＋ X^-n by X1,X2,…, Xn. Under some mild conditions, Nn and Sn are asymptotically independent, and Nn converges weakly to a Poisson process on （0,1].

关键词： stationary Gaussian sequence exceedances point process partial sum.

Almost sure limit theorem for the maximum of a class of quasi-stationary sequences

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Applied Mathematics(A Journal of Chinese Universities) 2014年第1期29卷 44-52页

作者： ZHUANG Guang-ming PENG zuo-xiang School of Mathematical Sciences Liaocheng University School of Automation Nanjing University of Science and Technology School of Mathematics and Statistics Southwest University

This paper investigates the problem of almost sure limit theorem for the maximum of quasi-stationary sequence based on the result of Turkman and Walker. We prove an almost sure limit theorem for the maximum of a class of quasi-stationary sequence under weak dependence conditions of D （uk, un） and αtm,ln = 0 （（log log n）-（1＋ε））.

关键词： quasi-stationary sequence maximum limit distribution almost sure central limit theorem

Limit theorems for supremum of Gaussian processes over a random interval

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Applied Mathematics(A Journal of Chinese Universities) 2018年第3期33卷 335-343页

作者： LIN Fu-ming PENG zuo-xiang School of Statistics and Management Shanghai University of Finance and Economics School of Mathematics and Statistics Sichuan University of Science & Engineering School of Mathematics and Statistics Southwestern University

Let {X(t), t ≥ 0} be a centered stationary Gaussian process with correlation r(t)such that 1-r(t) is asymptotic to a regularly varying function. With T being a nonnegative random variable and independent of X(t), the... 详细信息

关键词： stationary Gaussian process supremum of a process regularly varying functions random intervals

Distributional expansion of maximum from logarithmic general error distribution

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Applied Mathematics(A Journal of Chinese Universities) 2016年第2期31卷 157-164页

作者： YANG Geng LIAO Xin PENG zuo-xiang School of Mathematics and Statistics Southwest University Business School University of Shanghai for Science and Technology

Logarithmic general error distribution is an extension of lognormal distribution. In this paper, with optimal norming constants the higher-order expansion of distribution of partial maximum of logarithmic general erro... 详细信息

关键词： Extreme value distribution Higher-order expansion Logarithmic general error distribution,Maximum

Second-order Asymptotics on Distributions of Maxima of Bivariate Elliptical Arrays

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Acta Mathematica Sinica,English Series 2018年第7期34卷 1159-1178页

作者： Xin LIAO Zhi Chao WENG zuo xiang PENG Business School University of Shanghai for Science and Technology Shanghai 200093 P. R. China School of Economics and Management Fuzhou University Fujian 350116 P. R. China School of Mathematics and Statistics Southwest University Chongqing 400715 P. R. China

Let {（ξni, ηni）, 1 ≤ i ≤ n, n ≥ 1} be a triangular array of independent bivariate elliptical random vectors with the same distribution function as （S1,ρnS1 ＋ √1- ρ2nS2）, ρn ∈（0, 1）, where （S1,S2） is a bivariate spherical random vector. For the distribution function of radius√S12 ＋ S22 belonging to the max-domain of attraction of the Weibull distribution, the limiting distribution of maximum of this triangular array is known as the convergence rate of p~ to 1 is given. In this paper, under the refinement of the rate of convergence of p~ to 1 and the second-order regular variation of the distributional tail of radius, precise second-order distributional expansions of the normalized maxima of bivariate elliptical triangular arrays are established.

关键词： Bivariate elliptical triangular array maximum second-order expansion second-order regular variation

Joint Limit Distributions of Exceedances Point Processes and Partial Sums of Gaussian Vector Sequence

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Acta Mathematica Sinica,English Series 2012年第8期28卷 1647-1662页

作者： zuo xiang PENG Jin Jun TONG Zhi Chao WENG School of Mathematics and Statistics Southwest University Department of Actuarial Science Faculty of Business and EconomicsUniversity of LausanneUNIL-Dorigny 1015 LausanneSwitzerland

In this paper, we study the joint limit distributions of point processes of exceedances and partial sums of multivariate Gaussian sequences and show that the point processes and partial sums are asymptotically independent under some mild conditions. As a result, for a sequence of standardized stationary Gaussian vectors, we obtain that the point process of exceedances formed by the sequence （centered at the sample mean） converges in distribution to a Poisson process and it is asymptotically independent of the partial sums. The asymptotic joint limit distributions of order statistics and partial sums are also investigated under different conditions.

关键词： Multivariate Gaussian sequence exceedances point process partial sum order statistic joint limit distribution

A square root information filter for multi-GNSS real-time precise clock estimation

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Satellite Navigation 2021年第1期2卷 400-413页

作者： xiang zuo Xinyuan Jiang Pan Li Jungang Wang Maorong Ge Harald Schuh Department of Geodesy GeoForschungsZentrum(GFZ)Telegrafenberg14473 PotsdamGermany Institut Für Geodäsie Und Geoinformationstechnik Technische Universität BerlinKaiserin-Augusta-Allee 104-10610553 BerlinGermany.

Real-time satellite orbit and clock estimations are the prerequisite for Global Navigation Satellite System(GNSS)real-time precise positioning *** meet the high-rate update requirement of satellite clock corrections,the computational efficiency is a key factor and a challenge due to the rapid development of multi-GNSS *** Square Root Information Filter(SRIF)is widely used in real-time GNSS data processing thanks to its high numerical stability and computational *** real-time clock estimation,the outlier detection and elimination are critical to guarantee the precision and stability of the product but could be *** this study,we developed a new quality control procedure including the three standard steps:i.e.,detection,identification,and adaption,for real-time data processing of huge GNSS *** is made to improve the computational efficiency by optimizing the algorithm to provide only the essential information required in the processing,so that it can be applied in real-time and high-rate estimation of satellite *** processing procedure is implemented in the PANDA(Positioning and Navigation Data Analyst)software package and evaluated in the operational generation of real-time GNSS orbit and clock *** demonstrated that the new algorithm can efficiently eliminate outliers,and a clock precision of 0.06 ns,0.24 ns,0.06 ns,and 0.11 ns can be achieved for the GPS,GLONASS,Galileo,and BDS-2 IGSO/MEO satellites,*** computation time per epoch is about 2 to 3 s depending on the number of existing ***,the algorithm can satisfy the IGS real-time clock estimation in terms of both the computational efficiency and product quality.

关键词： SRIF Precise clock estimation Quality control Real-time GNSS

The deleterious effects and potential therapeutic strategy of fluorene-9-bisphenol on circadian activity and liver diseases in zebrafish and mice

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Journal of Environmental Sciences 2024年第11期145卷 13-27页

作者： Shuhui Zhang xiang zuo Jialu Luan Huijuan Bai Zhenhua Fu Mingzhu Sun Xin Zhao Xizeng Feng College of Life Science State Key Laboratory of Medicinal Chemical BiologyThe Key Laboratory of Bioactive MaterialsMinistry of EducationNankai UniversityTianjin 300071China Institute of Robotics&Automatic Information System College of Artificial IntelligenceNankai UniversityTianjin 300071China

Increasing evidence indicates that disturbance of the clock genes,which leads to systemic endocrine perturbation,plays a crucial role in the pathogenesis of metabolic and liver ***-9-bisphenol(BHPF)is utilized in the manufacturing of plastic materials but its biological effects on liver homeostasis remain *** impacts and involved mechanisms of BHPF on the liver diseases,metabolism,and circadian clock were comprehensively studied by zebrafish andmouse *** therapeutic effect of melatonin(MT)was also *** and mousemodels with either acute exposure(0.5 and 1μmol/L,1-4 days post-fertilization)or chronic oral exposure(0.5 and 50 mg/(kg·2 days),30 days)were established with various BHPF ***,we identified a crucial role for estrogenic regulation in liver development and circadian locomotor rhythms damaged by BHPF in a zebrafish *** mice showed chaos in circadian activity through the imbalance of circadian clock component Brain and Muscle Aryl hydrocarbon receptor nuclear translocator-like 1 in the liver and *** liver sexual dimorphic alteration alongwith reduced growth hormone and estrogens played a critical role in damaged glucose metabolism,hepatic inflammation,and fibrosis induced by ***,sleep improvement by exogenous MT alleviated BHPF-related glucose metabolism and liver injury in *** proposed the pathogenesis of metabolic and liver disease resulting from BHPF and promising targeted therapy for livermetabolism disorders associated with endocrine perturbation *** results might play a warning role in the administration of endocrine-disrupting chemicals in everyday life and various industry applications.

关键词： Fluorene-9-bisphenol(BHPF) Melatonin Circadian activity Endocrine perturbation Liver diseases Female behavior Hepatic sexual dimorphism

Orthographic Processing of Developmental Dyslexic Children in China: Evidence from an Event-Related Potential Study

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Current Medical Science 2021年第6期41卷 1239-1246页

作者： Shu-ting TANG Fang-fang LIU Zeng-chun LI Ke-gao DENG Ran-ran SONG Peng-xiang zuo Medical College Shihezi UniversityShihezi 832002China School of Public Health Tongji Medical CollegeHuazhong University of Science and TechnologyWuhan 430030China

Objective:This study aimed to explore the orthographic processing of simplified Chinese characters in developmental dyslexic children in Kashgar,Xinjiang,China,and provide a theoretical basis for intervention strategies for developmental dyslexia in ***:Using event-related potential(ERP)measures,18 developmental dyslexic children and 23 typically developing children performed a character decision task with three types of stimuli:real characters(RCs),pseudocharacters(PCs),and noncharacters(NCs).Results:Behavioral results showed that the control children displayed a faster and higher accurate performance than the dyslexic children across PCs and *** data revealed that the RCs and PCs elicited a stronger P200 than the *** with the RCs and NCs,children in the control group showed more N400 negatives for *** is worth mentioning that dyslexic children did not show any difference on N400,which reflected the insufficient orthographic processing of dyslexic children in ***:These results show that Chinese dyslexic children had orthographic processing defects.

关键词： developmental dyslexia orthographic processing radical position simplified Chinese characters event-related potential