A general transformation class of semiparametric cure rate frailty models

We consider a class of cure rate frailty models for multivariate failure time data with a survival fraction. This class is formulated through a transformation on the unknown population survival function. It incorporates random effects to account for the underlying correlation, and includes the mixture cure model and the proportional hazards cure model as two special cases. We develop efficient likelihood-based estimation and inference procedures. We show that the nonparametric maximum likelihood estimators for the parameters of these models are consistent and asymptotically normal, and that the limiting variances achieve the semiparametric efficiency bounds. Simulation studies demonstrate that the proposed methods perform well in finite samples. We provide an application of the proposed methods to the data of the age at onset of alcohol dependence, from the Collaborative Study on the Genetics of Alcoholism.     

The perturbation bounds for the solution of weighted kronecker product linear systems using thew-weighted drazin inverse

The classical perturbation theory is extended to the weighted Kronecker product linear systems W(A? B)Wx =h. Upper bounds are derived for the normwise condition number.     

半定规划的逆问题

本文提出了半定规划的逆问题,利用半定规划的最优性条件,分别给出了其在ｌ∞,ｌ１,ｌ２ 模意义下的数学模型,它们仍为半定规划问题．     

Nonlinear analysis of thick plates on an elastic foundation by HT FE with p-extension capabilities

The paper is concerned with the development of hybrid-Trefftz (HT) p-element for nonlinear analysis of Reissner-Mindlin plates resting on an elastic foundation. The foundation may be of Winkler-type or Pasternak-type. Exact solutions of the Lame-Navier equations are used for the in-plane intraelement displacement field and an incremental form of the basic equations is adopted. With the aid of incremental form of these equations, all nonlinear terms may be taken as pseudo-loads. Moreover, some modifications have been made on the nonlinear boundary equations to simplify the ensuing derivation. As a result, the in-plane and out-of-plane equations are uncoupled, and then the derivation for the HT finite element (FE) formulation becomes very simple. The practical efficiency of the new element model has been assessed through several examples.     

非线性Schr(o)dinger方程的一个新的守恒差分格式

本文对非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程提出了一种新的带参数的守恒差分格式,并证明了该格式的收敛性与稳定性,通过数值计算获得如下结论,本文提出的差分格式在取适当的参数后,精度上比ＺｈａｎｇＦｅｉ等人（１９９５）的格式有较大幅度的提高。     

不同均衡补偿模式下海底地形反演方法比较分析

针对不同均衡补偿模式下导纳函数存在不同的函数表现形式以及涉及诸多地球物理参数的特点,依据最新的全球地壳模型CRUST1.0获得了研究海域海水密度、地壳密度、地幔密度等参数信息。根据谱分析技术,在挠曲导纳函数受有效弹性厚度影响显著波段,采用迭代方法解算了不同有效弹性厚度环境下观测导纳和理论导纳的差值均方差,获得了研究海域有效弹性厚度最佳估值为11 km。分别采用未补偿导纳函数、挠曲导纳函数和Airy导纳函数构建了研究海域海底地形模型1、模型2和模型3,并与ETOPO1模型和GEBCO模型比较发现:模型1和模型2检核精度优于ETOPO1模型和GEBCO模型;相比于ETOPO1模型,模型1和模型2精度提高了49.04%和39.44%。海深分层检核统计结果表明:应用导纳函数构建的海底地形与检核点表现出良好的相关性;同时随着海深的增加,模型检核精度呈现不断升高的趋势。     

Spin-transfer switching in MgO magnetic tunnel junction nanostructures

Spin-transfer driven switching was observed in MgO based magnetic tunnelling junctions (MTJ) with tunnelling magnetoresistance ratio of up to 160% and the average intrinsic switching current density (J_c0) down to 2 MA/cm², which are the best known results reported in spin-transfer switched MTJ nanostructures. Based on a comparison of results both from MgO and AlO_x MTJs, further switching current decrease via MgO dual structures with two pinned layers is discussed.