Testing for Ordered Trends of Binary Responses between Contingency Tables

In this article, likelihood ratio tests (LRTs) are developed for detecting that stochastic trends of binary responses are ordered between 2×k contingency tables. We provide a simple iterative algorithm for the maximum likelihood estimators under the order restriction and construct the LRTs using those estimators. All the distributional results of these tests are based on the large sampling theory. The finite-sample behaviors of these tests are investigated through a simulation study. As an illustration of these tests, we analyze a set of data on wheeziness of smoking coalminers.     

均聚物结晶与熔融化转变的稳态和亚稳态统计理论Ⅵ. 分子分凝统计结晶动力学-结晶增长速率对结晶生长机制和溶液浓度和的依赖性

首先对结晶增长速率同浓度和链柔性依赖性进行总结,然后基于微晶核和粒———高分子键组网络结构模型和高分子分子分凝统计结晶动力学,根据高分子链组是微晶粒同连接链段复合体的结构特征及它们间存在的四个相关性(并存性、简并性、顺反式构象共存性和物料守恒性)的事实,成功地把连接链段缩短增长动力方程同微晶粒体积增大增长动力方程有机结合在一起,从理论上创建出一种微晶粒数增长速率和微晶粒尺寸增长速率表达式的一般化计算法,推导出结晶体系的微晶粒数增长速率、微晶粒尺寸增长速率同四种增长机制(近邻折叠,近邻伸直,近邻折叠同近邻伸直并联并存和近邻折叠同近邻伸直串联并存)、结晶温度和和结晶浓度间定量表达式.当把浓度指数同链的构象分数相连后,就又从理论上得到了浓度指数同温度和链柔性间的关系式,并讨论了它们同增长机制间的关系.最后以大量结晶动力学实验数据对上述所得到的关系式进行了验证,结果表明它们均能同实验结果很好符合.     

剖面隐马氏模型训练算法的改进

利用剖面隐马氏模型获得多序列联配，一般需要经过初始化、训练、联配三个过程．然而，目前广泛采用的Baum—welch训练算法假设各条可观察序列互相独立，这与实际情况有所不符．本文对剖面隐马氏模型，给出可观察序列在互相不独立情况下的改进Baum—wlelch算法，在可观察序列两种特殊情况下（互相独立和一致依赖），得到了改进算法的具体表达式，讨论了一般情况下权重的选取方法．最后通过一个具体的蛋白质家族的多序列联配来说明改进算法的效果．     

Temperature-controlled change of charge transport mechanisms in nonionic water-in-oil microemulsions

 The temperature-controlled transition from the Stokes charge transport of aqueous nanodroplets to the intrinsic conduction of nanodroplet clusters in nonionic microemulsions was studied. Two different charge transport processes apparent from a minimum value of the conductance have been simulated based on straightforward physical models. Their predictions compare favourably with the observations. Received: 4 September 2001 Accepted: 20 September 2001     

强相关平稳Gauss过程高水平穿过和最大值的弱收敛

设｛ξ（ｔ），ｔ≥０｝是强相关不可微Ｇａｕｓ过程，即其相关函数Ｒ（ｔ）满足：Ｒ（ｔ）ｌｏｇｔ→γ＞０（ｔ→∞）和Ｒ（ｔ）＝１－Ｃ｜ｔ｜^α＋ｏ（｜ｔ｜^α）（ｔ→０），且０＜α≤２，Ｃ＞０．本文建立了｛ξ（ｔ），ｔ≥０｝对一个和多个高水平的ε-上穿点过程的极限定理，并给出了最大值的极限分布和局部ε-最大值的联合渐近分布．     

Scaling Limits of Solutions of the Heat Equation for Singular Non-Gaussian Data

Limiting distributions of the parabolically rescaled solutions of the heat equation with singular non-Gaussian initial data with long-range dependence are described in terms of their multiple stochastic integral representations.     

Spline approximation method

A system of relations is presented for determining optimal coefficients for a set consisting of an arbitrary number of smoothly matched cubic polynomial dependences. As an example, the method is used to construct optimal approximating formulas for the viscosity of air in thermochemical equilibrium as a function of enthalpy.     

强相依高斯序列的最大值与和的联合渐近分布

{X_n,n≥1)是标准高斯序列,T_(ij)=cov(X_i,X_j)。本文在强相依条件rijlog(j-i)→r∈(0,∞)(j-i→ ∞)下,得到了高斯序列的最大值M_n与标准化部分和S_n=sum from i=1 to n(X_i/(E(sum from i=1 to n X_i)~2)/(1/2))     

The ground state well depth position Rm of Van der Waals molecules and the spectral line shapes

As the ground state potential curve is strongly related to spectral line shapes, the minumum position of the ground state potential is obtained from the experiemental absorption profile k(Δν, T) at high density of the radiating atoms. The temperature dependence of the absorption processes of Hg and Cd lines 253.65 and 326.1 nm, respectively perturbed by inert gases (Xe, Kr, Ar and Ne) had been carefully studied over a wide spectral range. Using the point of the maximum temperature dependence Δν_m in each case, we are able to calculate the position of the ground state potential R_m using a simple formula.     

Boundedness, global existence and continuous dependence for nonlinear dynamical systems describing physiologically structured populations

The paper is aimed as a contribution to the general theory of nonlinear infinite dimensional dynamical systems describing interacting physiologically structured populations. We carry out continuation of local solutions to maximal solutions in a functional analytic setting. For maximal solutions we establish global existence via exponential boundedness and by a contraction argument, adapted to derive uniform existence time. Moreover, within the setting of dual Banach spaces, we derive results on continuous dependence with respect to time and initial state.To achieve generality the paper is organized top down, in the way that we first treat abstract nonlinear dynamical systems under very few but rather strong hypotheses and thereafter work our way down towards verifiable assumptions in terms of more basic biological modelling ingredients that guarantee that the high level hypotheses hold.