非齐次等式约束下奇异型线性回归模型的广义条件岭估计

文章对线性回归模型参数有偏估计做进一步研究,提出了在非齐次等式约束下奇异型线性回归模型参数的广义条件岭估计,并给出它的一些性质,而且证明了在一定条件下,在均方误差阵和广义均方误差意义下,广义条件岭估计都优于约束最小二乘估计.最后,通过实际数据进行实证分析,得到了取不同岭参数矩阵时对应的广义条件岭估计及其MSE,验证了广义条件岭估计优于约束最小二乘估计的充分条件的正确性.     

线性限制下联立方程组模型的可识别性与参数估计

给出了带线性方程间限制的联立方程组模型的可识别定义及间接最小二乘估计量、两步最小二乘估计量、三步最小二乘估计量的解析表达式．进一步在可以理解的条件下证明了这些估计量的一相合性和渐近正态性．随机模拟的例子表明这些方法中三步最小二乘估计是最好的．     

均方误差准则下的几乎无偏Stein岭型主成分估计的优良性

将Stein岭型主成分估计利用几乎无偏估计思想进行优化,得到几乎无偏Stein岭型主成分估计.并考虑均方误差准则,得到了几乎无偏Stein岭型主成分估计优于最小二乘估计、Stein岭型主成分估计的充分条件.并通过数值实验证明在给定k或p时,几乎无偏Stein岭型主成分估计的均方误差与Stein岭型主成分估计的均方误差较为接近,且远大于最小二乘估计的均方误差.     

Correlation between the standard formation enthalpy and the path index of pyridine-derivatives

A formulated as △fH _m ^◯ (PPDs,g)=a+Σb_iP_i + c_if_i is put forward for estimating standard formation enthalpies of pyridine-derivatives (PDDs), in which,P _i is path index andc _i f _i is an amended term of interaction between substituent and N atom on pyridine ring. The Calculations based on the model were carried out for some pyridine-derivatives. The values of standard formation enthalpy calculated are consistent with those in literature. Foundation item: Supported by the National Natural Science Foundation of China (29971024) Biography: LI Liang-chao (1958-), male, Associate professor, Research direction: calculating chemistry.     

具p-Laplacian非线性奇异边值系统正解的存在性

研究了下面带有p-Laplacian算子的非线性奇异边值系统:(ф_p(u'_i))'+a_i(t)f_i(u₁,u₂)=0, 0＜t＜1,α_iф_p(u_i(0))-β_iф_p(u'_i(0))=0, γ_iф_p(u_i(1))+δ_iф_p(u'_i(1))=0,(i=1,2)正解的存在性。其中ф_p(s)为p-Laplacian 算子，即ф_p(s)=|s|^p-2s, p>1, (ф_p)^-1=ф_q,1/p+1/q=1, α_i＞0, β_i≥0, γ_i＞0, δ_i≥0, i=1,2.这里f_{i是下半连续函数(i=1,2). 通过使用锥上的不动点定理,在相当弱的条件下, 获得了这类奇异边值系统正解的存在性.}     

Jackknifed Liu estimator in linear regression models

In this paper, we introduce a generalized Liu estimator and jackknifed Liu estimator in a linear regression model with correlated or heteroscedastic errors. Therefore, we extend the Liu estimator. Under the mean square error(MSE), the jackknifed estimator is superior to the Liu estimator and the jackknifed ridge estimator. We also give a method to select the biasing parameter for d. Furthermore, a numerical example is given to illustvate these theoretical results.     

混合线性模型最小二乘估计的模拟分析

本文首先用最小二乘估计的方法构造混合线性模型参数的估计量,在一定的假设条件下,进行数值模拟,以说明所构造的估计量的有效性。并给出一个实际算例来体现混合线性模型在实际当中的重要应用。     

油菜籽焦磷酸:果糖-6-磷酸1-磷酸转移酶的动力学研究

采用DEAE-Sephadex A-50及磷酸纤维素柱层析,用底物亲和洗脱法从萌发油菜(Brassica napus)种子中分离纯化了焦磷酸:果糖-6-磷酸1-磷酸转移酶(PFP).纯化倍数679.7倍,比活力为21.75 单位/毫克.蛋白,活力回收率22.9%.酶的最适pH值为7.5,Mg2+和M2+n对酶有激活作用.进行酶的初级动力学及稳态动力学研究,对果糖-6-磷酸(F6P)表现为典型的米氏规律,Km值为3.33 mmol/L;对焦磷酸(PPi)的活力变化,在PPi浓度小于1.0 mmol/L时具有部分米氏酶特点(Km＝1.0 mmol/L),大于1.0 mmol/L时,PPi对酶有抑制作用.从两底物F6P和PPi的相互作用以及产物磷酸(Pi)与底物(F6P和PPi)的相互关系分析,初步推断油菜籽PFP的催化反应为双底物双产物的有序机制.     

q对称熵损失函数下正态总体刻度参数的估计

用参数估计的方法, 研究均值为0的正态分布中刻度参数在q对称熵损失函数下的最小风险同变估计、 Bayes估计和Minimax估计, 并讨论了 ［cT+d］^1/2形式的估计量当0≤c*, d>0; c=c^*, d≥0时是可容许的, 当0*, d=0; c>c^*, d>0时是不可容许的.     

p,q-对称熵损失函数下指数分布的参数估计

用参数估计方法, 研究指数分布的刻度参数在p,q-对称熵损失函数下的最小风险同变估计(MRE)、 Bayes估计和Minimax估计, 并讨论了具有［cT+d］^-1形式的估计量当0≤c*, d>0; c=c^*, d>0时是可容许的, 当c<0或 d<0; 0*且d=0; c>c^*且d>0时是不可容许的.     

线性模型广义最小二乘估计的中偏差、重对数律与相对效率

对回归模型进行适当变换,得到了线性模型广义最小二乘估计的中偏差及重对数律,并且在均方误差矩阵准则下得到了Bayes（BE）估计与广义最小二乘估计的2种不同相对效率的上下界．     

几类非线性回归模型的LS估计与非线性度量

研究了一类推广的非线性回归模型的最小二乘估计,证明了其收敛性,并推广到不满足高斯–马尔可夫条件的情形。研讨了几类特殊的部分非线性回归模型的参数估计及非线性程度度量,探讨了参数最小二乘估计求法中迭代初值的选取,提出了改进方向。     

Guass-Markov模型的广义抗差岭估计

对可能影响测量平差精度与稳定性的各种因素进行了分析,提出了一种新估计——广义抗差岭估计,理论分析和模拟计算结果均表明新估计不仅能同时抵抗设计阵病态性和观测值粗差的影响,而且能有效的消除高杠杆点的干扰,是一种性能良好的估计.     

非齐次等式约束线性回归模型回归系数的条件岭型估计

对非齐次等式约束线性回归模型提出一种有偏估计,即条件岭型估计,证明了在一定的条件下,在均方误差及均方误差矩阵意义下都优于回归系数的约束最小二乘估计,并给出了两次随机数据模拟的结果,模拟数据结果表明在一定的条件下,条件岭型估计优于最小二乘估计.     

多元回归中时变参数的非参数估计

本文讨论了参数随时间变化的一类多元回归模型,提出了一种非参数估计方法——准最小二乘核函数估计方法。证明了在一定的条件下所得的估计具有相容性,推广了Robinson的结果。     

部分线性模型中非参数估计的强相合性

考虑部分线性模型:y_i=x_iβ+g(t_i)+σ_ie_i,1≤i≤n,其中σ_i~2=f(u_i),(x_i,t_i,u_i)是固定非随机设计点列,f(·)和 g(·)是未知函数,β是待估参数,e_i 是随机误差。我们研究了基于β的最小二乘估计β_n 和加权最小二乘估计_n 的非参数 g(·)的估计,并证明了他们的强相合性。     

Julia sets of the random iteration systems and its subsystems

Suppose that P=(p\-1, p\-2, ..., p\-M)\% is a probability vector with p\-i>0 and Y={1, 2, ..., M}. Let (Y, 2\+Y, μ) be a probability space with μ(i)=p\-i, i=1, 2, ..., M, and (∑\-M, B, m)= Π \+∞\-0(Y, 2\+U, μ). It is shown that for any a \%(0≤a ≤1) \%, there exists a set U∈B such that m(U)=a and the Julia set associated with U is equal to the Julia set associated with ∑\-M\%. Moreover repelling fixed points with respect to U are dense in the Julia set associated with U.     

Mechanisms of peroxynitrite-induced [Ca2+]i increase in single neuronal cell

The mechanism of peroxynitrite (ONOO⁻)-induced [ca²⁺]_i increase in single MN9D cell (Dopaminergic neuroblastoma cell line) was studied by using Fura-2 microfluorometric technique. The results show that ONOO⁻ caused a rapid increase of [Ca²⁺]_i when ONOO₋ was puffed to the cell. Removing Ca²⁺ from the bath or using calcium channel antagonist (CdCl₂, Nifedipine) greatly inhibited the [Ca²⁺]_i increase induced by ONOO⁻¹, suggesting that the opening of L-Ca²⁺ channel makes a great contribution to the [Ca²⁺]_i increase. The effect of sulfhydryl reductive agent (DTT) on ONOO⁻-induced [Ca²⁺]_i increase suggests that ONOO⁻-activating L-Ca²⁺ channel is partly related to its oxidative speciality.     

线性模型参数一类新的s-K估计

基于线性回归模型参数向量的先验信息提出一类新的s-K估计--改进s-K估计, 并在均方误差阵意义下, 得到了这类估计分别优于最小二乘估计、 广义岭估计、 Stein估计及s-K估计的充要条件.     

The new sideway of CNTF signal transduction pathway

The action of ciliary neurotrophic factor (CNTF) on intercellular free Ca²⁺ concentrations [Ca²⁺]_i induced by glutamate (Glu) in primary cultured hippocampal neurons were detected with Fura2/AM, a Ca²⁺-sensitive fluorophore, and the morphological influence of G-protein on it was objected. Glu could induce rapid increase of [Ca²⁺]_i in hippocampal neurons. CNTF had no significant action on [Ca²⁺]_i in resting hippocampal neurons. However, after incubation of CNTF for 5 min, the increase of [Ca²⁺]_i in hippocampal neurons rapidly induced by Glu was inhibited. Pretussis toxin (PTX)-sensitive G protein could block the action. These results indicate that a new non-genomic rapid sideway might exist in the upper stream of CNTF signal transduction pathway, which was related to Ca²⁺ signal transduction. Keywords: