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A.S.Convergence Rate and L^(p)-Convergence of Bisexual Branching Processes in a Random Environment and Varying Environment
《Acta Mathematicae Applicatae Sinica》2023年第2期337-353,共17页Sheng XIAO Xiang-dong LIU Ying-qiu LI 
supported by the Fundamental Research Funds for the Central University (Grant No.19JNLH09);Innovation Team Project in Guangdong Province,P.R.China (Grant No.2016WCXTD004);supported by the National Natural Science Foundation of China (Grants no.11731012,12271062);Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science&Technology)。
Let(Z_(n))be a supercritical bisexual branching process in a random environmentξ.We study the almost sure(a.s.)convergence rate of the submartingale W_(n)=Z_(n)/In to its limit W,where(In)is an usually used norming s...
关键词：bisexual branching process convergence rate varying environment random environment 
Feature Screening for Ultrahigh-dimensional Censored Data with Varying Coefficient Single-index Model
《Acta Mathematicae Applicatae Sinica》2019年第4期845-861,共17页Yi LIU 
Supported by the National Natural Science Foundation of China(No.11801567)
In this paper, we study the sure independence screening of ultrahigh-dimensional censored data with varying coefficient single-index model. This general model framework covers a large number of commonly used survival ...
关键词：censored data consistency in ranking PROPERTY FEATURE selection HIGH-DIMENSIONAL data sure SCREENING PROPERTY VARYING COEFFICIENT single-index model 
A Double Varying-coefficient Modeling Approach for Analyzing Longitudinal Observations
《Acta Mathematicae Applicatae Sinica》2019年第3期671-688,共18页Qun-fang XU Rui LI 
supported by MOE(Ministry of Education in China),Project of Humanities and Social Sciences(No.15YJA910004);Sponsored by K.C.Wong Magna Fund in Ningbo University;supported by the National Social Science Foundation of China(No.17BTJ025);the Open Research Fund of Key Laboratory of Advanced Theory and Application in Statistics and Data Science(East China Normal University),Ministry of Education(No.KLATASDS1802)
The identification of within-subject dependence is important for constructing efficient estimation in longitudinal data models.In this paper,we proposed a flexible way to study this dependence by using nonparametric r...
关键词：AUTOREGRESSIVE process DOUBLE VARYING COEFFICIENT IRREGULAR time quantum LOCALLY linear 
Local Least Product Relative Error Estimation for Varying Coefficient Multiplicative Regression Model被引量：2
《Acta Mathematicae Applicatae Sinica》2019年第2期274-286,共13页Da-hai HU 
In this article, we consider the varying coefficient multiplicative regression model, which is very useful to model the positive response. The criterion of least product relative error(LPRE) is extended to the varying...
关键词：VARYING COEFFICIENT MODEL MULTIPLICATIVE regression MODEL relative error KERNEL SMOOTHING 
Empirical Likelihood for Varying Coefficient EV Models under Longitudinal Data被引量：2
《Acta Mathematicae Applicatae Sinica》2018年第3期585-596,共12页Qiang LIU 
Supported by National Social Science Foundation of China(16BTJ015)
In this paper, a varying coefficient errors-in-variables model under longitudinal data is investigated.An empirical likelihood based bias-correction approach is proposed. It is proved that the proposed statistics are ...
关键词：varying coefficient EV model longitudinal Data empirical likelihood bias-correction asymptotic normality 
Inference on Varying-Coefficient Partially Linear Regression Model
《Acta Mathematicae Applicatae Sinica》2015年第1期139-156,共18页Jing-yan FENG Ri-quan ZHANG Yi-qiang LU 
supported in part by National Natural Science Foundation of China(11171112,11201190);Doctoral Fund of Ministry of Education of China(20130076110004);Program of Shanghai Subject Chief Scientist(14XD1401600);the 111 Project of China(B14019)
The varying-coefficient partially linear regression model is proposed by combining nonparametric and varying-coefficient regression procedures. Wong, et al. （2008） proposed the model and gave its estimation by the l...
关键词：asymptotic normality varying-coefficient partially linear regression model generalized likelihoodratio test Wilks phenomenon xi-distribution. 
Efcient Estimation of Varying Coefcient Seemly Unrelated Regression Model
《Acta Mathematicae Applicatae Sinica》2014年第1期119-144,共26页Qun-fang XU Yang BAI 
Xu’s research was supported by Key Academic Project from Bureau of Statistics of Zhejiang Province(201325);Research Project of the National Statistics(2013LY119);Bai’s work was partially supported by National Natural Science Funds for Young Scholar(No.11001162);Shanghai University of Finance and Economics through Project 211 Phase IV and Shanghai Leading Academic Discipline Project(No.B804)
In this paper, we propose a class of varying coefficient seemingly unrelated regression models, in which the errors are correlated across the equations. By applying the series approximation and taking the contemporane...
关键词：series approximation varying coefficient seemingly unrelated regression contemporaneous correlation asymptotic normality 
Generalized Profile LSE in Varying-Coefficient Partially Linear Models with Measurement Errors
《Acta Mathematicae Applicatae Sinica》2013年第3期477-490,共14页Yun-bei MA Jin-hong YOU Yong ZHOU 
supported by National Natural Science Funds for Distinguished Young Scholar(No.70825004) and (No.71271128);Creative Research Groups of China(No.71271128);NCMIS and Shanghai University of Finance and Economics through Project 211 Phase Ⅲ;Shanghai Leading Academic Discipline Project(No.B803)
This paper is concerned with the estimating problem of a semiparametric varying-coefficient partially linear errors-in-variables model Yi=Xτiβ＋Zτiα（Ui）＋εi , Wi=Xi＋ξi,i=1, · · · , n. Due to measurement er...
关键词：Semiparametric modeling varying-coefficient measurement error local polynomial profile least squares asymptotic normality 
Estimates for the Finite-time Ruin Probability with Insurance and Financial Risks被引量：8
《Acta Mathematicae Applicatae Sinica》2012年第4期795-806,共12页Min ZHOU Kai-yong WANG Yue-bao WANG 
Supported by the National Natural Science Foundation of China (No.10671139)
The paper gives estimates for the finite-time ruin probability with insurance and financial risks. When the distribution of the insurance risk belongs to the class L（γ） for some γ〉0 or the subexponential distribu...
关键词：finite-time ruin probability dominated varying tail insurance risk financial risk 
Variable Selection for Generalized Varying Coefficient Partially Linear Models with Diverging Number of Parameters被引量：1
《Acta Mathematicae Applicatae Sinica》2012年第2期237-246,共10页Zheng-yan Lin Yu-ze Yuan 
Supported by the National Natural Science Foundation of China (No. 10871177);Specialized Research Fund for the Doctoral Program of Higher Education (No. 20090101110020)
Semiparametric models with diverging number of predictors arise in many contemporary scientific areas. Variable selection for these models consists of two components： model selection for non-parametric components and...
关键词：generalized linear model varying coefficient high dimensionality SCAD basis function. 
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