Efficient estimation for semiparametric varying- coefficient partially linear regression models with current status data

This article considers a semiparametric varying-coefficient partially linear regression model with current status data. The semiparametric varying-coefficient partially linear regression model which is a generalization of the partially linear regression model and varying-coefficient regression model that allows one to explore the possibly nonlinear effect of a certain covariate on the response variable. A Sieve maximum likelihood estimation method is proposed and the asymptotic properties of the proposed estimators are discussed. Under some mild conditions, the estimators are shown to be strongly consistent. The convergence rate of the estimator for the unknown smooth function is obtained and the estimator for the unknown parameter is shown to be asymptotically efficient and normally distributed. Simulation studies are conducted to examine the small-sample properties of the proposed estimates and a real dataset is used to illustrate our approach.     

一类带有潜伏期和部分免疫的传染病模型的全局分析

通过假设被接种者具有部分免疫,建立了一类具有潜伏期和接种的SEIR传染病模型,借助再生矩阵得到了确定此接种模型动力学行为的基本再生数.当基本再生数小于1时,模型只有无病平衡点;当基本再生数大于1时,除无病平衡点外,模型还有唯一的地方病平衡点.借助Liapunov函数,证明了无病平衡点和地方病平衡点的全局稳定性.     

助剂CuO和La2O3对NiO/α-Al2O3甲烷催化部分氧化制合成气引发过程的影响

采用分步浸渍法制备了NiO/α-Al₂O₃、NiO-CuO/α-Al₂O₃和NiO-La₂O₃/α-Al₂O₃三种催化剂,运用程序升温表面反应（TPSR）技术考察了助剂CuO和La₂O₃对NiO/α-Al₂O₃甲烷催化部分氧化（CPOM）反应引发过程的影响。结果表明,无论是否经过预还原处理,NiO/α-Al₂O₃催化剂在CH₄/O₂混合气氛下进行程序升温表面反应（CH₄/O₂-TPSR）时,即使升高到910℃也不能引发CPOM反应。添加助剂CuO或La₂O₃后,NiO-CuO/α-Al₂O₃和NiO-La₂O₃/α-Al₂O₃催化剂在CH₄/O₂-TPSR过程中均可以引发CPOM反应。原因分别是CuO促进了CH₄对NiO的还原以及抑制了O₂对Ni0的再氧化,La₂O₃减小了Ni晶粒粒径和还原时扩散阻力促进NiO的还原。     

固定效应部分线性可加面板数据模型的惩罚二次推断估计

具有较强解释力和灵活性的部分线性可加面板数据模型在各学科领域应用广泛.针对个体内存在相关结构的固定效应部分线性可加面板数据模型,本文在结合幂样条函数和最小二乘虚拟变量(LSDV)法的基础上,利用惩罚二次推断函数(PQIF)法对模型进行估计,在一定的正则条件下,证明了参数估计的渐近正态性和非参数估计的收敛性,Monte Carlo数值模拟显示所述估计方法具有良好的有限样本表现,同时,我们还将估计技术应用于实际数据分析中.     

Partial oxidation of simulated hot coke oven gas to syngas over Ru-Ni/Mg（Al）O catalyst in a ceramic membrane reactor

Hydrogen amplification from simulated hot coke oven gas (HCOG) was investigated in a BaCo0.7Fe0.2Nb0.1O3−δ (BCFNO) membrane reactor combined with a Ru-Ni/Mg(Al)O catalyst by the partial oxidation of hydrocarbon compounds under atmospheric pressure. Under optimized reaction conditions, the dense oxygen permeable membrane had an oxygen permeation flux around 13.3 ml/(cm2·min). By reforming of the toluene and methane, the amount of H2 in the reaction effluent gas was about 2 times more than that of original H2 in simulated HCOG. The Ru-Ni/Mg(Al)O catalyst used in the membrane reactor possessed good catalytic activity and resistance to coking. After the activity test, a small amount of whisker carbon was observed on the used catalyst, and most of them could be removed in the hydrogen-rich atmosphere, implying that the carbon deposition formed on the catalyst might be a reversible process.     

三羟甲基苯酚与部分水解聚丙烯酰胺成胶机理研究

采用13C固体核磁共振技术、X-射线电子能谱及红外光谱技术对部分水解聚丙烯酰胺(HPAM)与三羟甲基苯酚交联前后的结构进行了表征,发现体系中生成仲胺基团的同时伯胺基团有所减少;进一步采用两种表征手段对一系列交联样品进行了测试,定量地计算了仲胺基团含量的增加和伯胺基团含量的减少,得到一致的结果;在此基础上提出了水溶性酚醛交联剂与HPAM的交联机理.     

Two new flavanone glycosides from Macrothelypteris torresiana （Gaud.） Ching

Two new flavanone glycosides 1 and 2 were isolated from the aerial parts oi Macrothelypteris torresiana(Gaud.)Ching.The structures of two products were identified as(2S)-5,7,2',5'-tetrahydroxyfiavanone-2'-O-β-D-6"-O-acetylglucopyranoside and(2S)- 5,7,2',5'-tetrahydroxyflavanone-2'-O-β-D-glucopyranoside on the basis of their chemical and spectral analysis,respectively.     

因变量缺失下部分线性变系数模型的稳健估计

本文讨论因变量缺失下部分线性变系数模型在误差项和解释变量都含有异常点时的稳健估计问题。首先用局部加权线性光滑方法得到非参数部分的稳健估计,然后再得到参数部分的估计,并证明参数和非参数估计量的渐近正态性。最后模拟研究有限样本下估计量的表现。     

矩阵方法分解有理函数

有理函数积分的难点在于求出有理函数分解为部分分式之和的系数.目标是通过一个可逆矩阵求出分解系数.这种方法克服了待定系数法、极限法以及奥氏(M. V. Ostrogradsik)方法等通常方法的不足,给出的分解公式简洁明了,有利于理论分析,有利于教学实践,有利于借助计算机解决实际问题.     

Keldysh型算子的基本解

本文研究Keldysh型算子Lαu=△δ^2u/δx^2＋yδ^2u/δy^2＋αδu＊δy-与Tricomi算子不同的另一类基本的混合型算子-的基本解．得到了α〉1/2时Keldysh型算子基本解的显式表示．这类基本解一般比Tricomi算子的基本解具有更强的奇性．当α〈1/2时Keldysh型算子的基本解需用发散积分的有限部分来表示．