Experimental earth tidal models in considering nearly diurnal free wobble of the Earth''''s liquid core

Based on the 28 series of the high precision and high minute sampling tidal gravity observations at 20 stations in Global Geodynamics Project (GGP) network, the resonant parameters of the Earth's nearly diurnal free wobble (including the eigenperiods, resonant strengths and quality factots) are precisely determined. The discrepancy of the eigenperiod between observed and theoretical values is studied, the important conclusion that the real dynamic ellipticity of the liquid core is about 5% larger than the one under the static equilibrium assumption is approved by using our gravity technique. The experimental Earth's tidal gravity models with considering the nearly diurnal free wobble of the Earth's liquid core are constructed in this study. The numerical results show that the difference among three experimental models is less than 0.1%, and the largest discrepancy compared to those widely used nowdays given by Dehant (1999) and Mathews (2001) is only about 0.4%. It can provide with the most recent real     

开关网络中开关过程的指数衰减型电源模型及其仿真

开关网络分析的主要困难在于电路的非线性和电路拓扑结构的周期性变化。基于实际开关换相期间，开关两端电压和流过的电流的连续性要求，本文提出采用指数衰减型电源模型来等效开关的导通和断开过程。利用这种模型，可以将开关网络变换为非开关网络，从而利用结点方程，对电路进行时域分析，避免了不连续初始值的求解。实例表明，这种模型具有电路结构简单、计算精度高、编程容易、仿真时间短等优点，适用于开关网络的建模仿真。     

一类Volterra反应扩散方程

我们在本文考虑带Robin边界条件的半线性Volterra生物群体反应扩散方程u_t=Lu-bu~2-uf*u其中L是具有光滑系数a_(ti),a_i的二阶线性一致椭圆算子。此外,a,b是某些正常数,f*u是由ds定义的卷积。我们确定了非负全局有界解的存在性和唯一性,并且证明了当t→∞时解的渐近性质。我们的主要工具是Banach不动点原理和比较方法。     

Forecasting with an econometric model: The issue of judgemental adjustment

The paper outlines the current state of forecasting with an econometric model. After briefly distinguishing econometric techniques from other statistical approaches and arguing the advantages of this approach the paper concentrates on the issue of judgemental adjustments to models for forecasting purposes. Two types of adjustment are distinguished and the conditions under which each is justified are stated. Guidance in the use of adjustment is offered through a review of considerations in an actual forecasting situation.     

结构关系度量误差模型中参数估计的渐近性质

考虑结构关系度量误差模型其中P维向量Y,q维向量Z为可观测随机变量,X为不可观测随机变量,U,F分别表示相应的度量误差,H（x,θ）是未知参数θ的非线性函数,参数空间是Rm中的有界闭区间．假设X,U,F相互独立,X服从包括正态分布的一类椭球等高分布,U～N（0,U）,F～N（0,F）,F＞0已知．在一定条件下给出了θ的一个强相合且渐近正态估计．     

Allosteric proteins after thirty years: The binding and state functions of the neuronalα7 nicotinic acetylcholine receptors

A key statement of the 1965 Monod-Wyman-Changeux (MWC) model for allosteric proteins concerns the distinction between the ligand-binding function ( ) and the relevant state function ( ). Sequential models predict overlapping behavior of the two functions. In contrast, a straightforward experimental consequence of the MWC model is that for an oligomeric protein the parameters which characterize the two functions should differ significantly. Two situations, where \bar Y$$ " align="middle" border="0"> and the system ishyper-responsive or where and the system ishypo-responsive, have been encountered. Indeed, the hyper-responsive pattern was first observed for the enzyme aspartate transcarbamoylase, by comparing with monitored by a change in sedimentation. Extensions of the theory to ligand-gated channels led to the suggestion that, on the one hand, hyper-responsive properties also occur with high-affinity mutants. On the other hand, native channels of the acetylcholine neuronal7 receptor and low-affinity mutants of the glycine receptor can be interpreted in terms of the hypo-responsive pattern. For the ligand-gated channels, whereas is detected directly by ion flux, ligand binding has rarely been measured and the formation of desensitized states may complicate the analysis. However, stochastic models incorporating both binding and channel opening for single molecules predict differences that should be measurable with new experimental approaches, particularly fluorescence correlation spectroscopy.     

Cluster analysis of dyad distributions in networks

Existing statistical models for network data that are easy to estimate and fit are based on the assumption of dyad independence or conditional dyad independence if the individuals are categorized into subgroups. We discuss how such models might be overparameterized and argue that there is a need for subgrouping methods to find appropriate models. We propose clustering of dyad distributions as such a method and illustrate it by analyzing how cooperative learning methods affect friendship data for school children.Work for this report was initiated while Frank and Komaska visited the Department of Statistics at the University of California, Riverside. Partial support was provided by the Swedish Council for Research in the Humanities and Social Sciences.     

随机递归树结点度数的同余类的渐近分布

用广义Pólya罐模型研究随机均匀递归树结点度数的同余类的渐近分布。考虑结点数为n的随机均匀递归树,将树上的结点按其度数关于模m的同余类分成m类,当n趋向无穷时,这m类结点的数目的联合分布渐近正态。     

Change-Point Estimates in Longitudinal Binary Data

Most change-point models assume that the response is continuous or cross sectional binary. However, in many public health problems, the data is longitudinal binary. There are few studies of change-point problems for longitudinal outcomes. This paper describes a flexible change-point model which includes random-effects and takes into account the difference between various individuals in longitudinal binary data. A transition function is used to make the linear-linear logistic model differentiable at the change-point. The location of the change-point is estimated using the maximum likelihood method. Adjustment of the transition parameter from zero to one controls the sharpness of the transition. The performance of this estimation procedure is illustrated with simulations using SAS/proc nlmixed and a detailed analysis of data relating hormone levels and ovary functions based on data from the Obstetrics and Gynecology Hospital, Medical Center of Fudan University.