半变系数模型PLS估计的渐近正态性

半变系数模型在统计建模中具有重要的应用．最近几年，人们提出了许多方法来估计其常系数和函数系数，但是估计的渐近性质还没有被系统的研究．本文介绍了半变系数模型的PLS估计，在Fan和Huang对常系数渐近性质研究的基础上，给出了函数系数的渐近正态性。     

半变系数模型约束PLS估计的渐近正态性

变系数模型已获得了广泛的应用,半变系数模型是变系数模型的有效推广,本文给出半变系数模型在线性约束条件下的PLS估计,并证明了常系数和函数系数估计的渐近正态性.     

相依数据下一般函数核估计的一致收敛速度

不论数据是独立的还是相依的,在非参数和半参数模型中,都涉及到对未知均值函数或者对某函数的未知条件期望的估计.本文针对这一问题,在比较弱的条件下,给出在数据是α-混合相依时一般函数的条件数学期望的估计,并讨论了它的一致收敛速度.     

变系数模型小波估计的渐近性

变系数模型是线性模型的有用推广,它允许回归系数是某个变量的函数,近年来在统计分析中得到广泛的应用.文中研究回归变量都是随机时的变系数模型,提出运用小波的方法估计变系数模型中的函数系数,并在较弱的条件下得到了变系数模型小波估计的渐近正态性.     

Gini Correlation for Feature Screening

Acta Mathematicae Applicatae Sinica, English Series - In this paper we propose the Gini correlation screening (GCS) method to select the important variables with ultrahigh dimensional data. The new...     

The proportional hazards model for multiple type recurrent gap times

Recurrent events data and gap times between recurrent events are frequently encountered in many clinical and observational studies, and often more than one type of recurrent events is of interest. In this paper, we consider a proportional hazards model for multiple type recurrent gap times data to assess the effect of covariates on the censored event processes of interest. An estimating equation approach is used to obtain the estimators of regression coefficients and baseline cumulative hazard functions. We examine asymptotic properties of the proposed estimators. Finite sample properties of these estimators are demonstrated by simulations.     

铝合金表面复合陶瓷防火涂层的制备及性能研究

以无机胶粘剂及陶瓷粉体为原料,制备用于地铁内饰的铝合金板表面阻燃陶瓷涂层.研究了胶粘剂、无机阻燃剂的加入量及料浆粒度与涂层致密度的关系.按照饰面型防火涂料的国家标准(GB12441-2005)和材料非燃性的英国标准(BS476-4)对涂层的理化性能进行检测.结果表明:当粘结剂的用量为60;、添加剂粒度为1～2 μm时,涂层表面均匀、致密、无缩孔.所制备的陶瓷涂层均达到上述标准.涂层的耐火极限高于30 min,不燃,不脱落,无烟,不产生有毒的气体,具有很好的防火阻燃作用.     

Bayesian regularized regression based on composite quantile method

Acta Mathematicae Applicatae Sinica, English Series - Recently, variable selection based on penalized regression methods has received a great deal of attention, mostly through frequentist’s...     

Tests for nonparametric parts on partially linear single index models

Tests for nonparametric parts on partially linear single index models are considered in this paper. Based on the estimates obtained by the local linear method, the generalized likelihood ratio tests for the models are established. Under the null hypotheses the normalized tests follow asymptotically the χ2-distribution with the scale constants and the degrees of freedom being independent of the nuisance parameters, which is called the Wilks phenomenon. A simulated example is used to evaluate the performances of the testing procedures empirically.