Block external bootstrap in partially linear models with nonstationary strong mixing error terms

The authors extend the block external bootstrap to partially linear regression models with strongly mixing, nonstationary error terms. In addition to providing an approximate distribution for the semiparametric least square estimator of the parametric component, they propose a consistent estimator of the co‐variance matrix of this estimator.     

A Non-parametric Frailty Model for Temporally Clustered Multivariate Failure Times

Abstract A model is introduced here for multivariate failure time data arising from heterogenous populations. In particular, we consider a situation in which the failure times of individual subjects are often temporally clustered, so that many failures occur during a relatively short age interval. The clustering is modelled by assuming that the subjects can be divided into ‘internally homogenous’ latent classes, each such class being then described by a time‐dependent frailty profile function. As an example, we reanalysed the dental caries data presented earlier in Härkänen et al. [Scand. J. Statist. 27 (2000) 577], as it turned out that our earlier model could not adequately describe the observed clustering.     

B股与H股及红筹股之间的溢出效应与信息流动

运用向量GARCH-M模型检验了B股与H股及红筹股之间的溢出效应与信息流动.实证结果表明:红筹股对沪深市B股、H股对沪市B股的收益和波动溢出效应均显著存在,而反向的溢出效应均不显著,表明信息是从红筹股向沪深市B股、从H股向沪市B股单向流动的;深市B股与H股之间相互的收益溢出效应均存在,而波动溢出效应均不存在,信息在H股和深市B股之间的流动情况不明显;在信息流动过程中,红筹股始终处于信息领先地位.     

矩阵方程XA＝B的亚（半）正定自共轭四元数矩阵解

给出了四元数体Ｑ上ｎ×ｎ分块矩阵为亚（半）正定自共轭矩阵的一个充要条件，进而给出了Ｑ上矩阵方程ＸＡｎｍ＝Ｂｎｍ有亚（半）正定自共轭四元数矩阵解的充要条件及解集合的显式表示，从而推广改进了数城上线性方程组的反问题及矩阵反问题的相应结果．     

现代汉语语义系统刍议

语义单位、语义单位之间的结构关系、结构层次是现代汉语语言意义系统的三要素 ,不同性质的语义单位彼此之间复杂纠联 ,使构成语义系统的两子系统 (词汇意义、语法意义子系统 )、两次子系统 (词法意义、句法意义次子系统 )紧密地联结在—起 ,构成一个统一的内部饶有联系的结构整体     

A Unified Approach to the Characterization of Equivalence Classes of DAGs, Chain Graphs with no Flags and Chain Graphs

Abstract.  A Markov property associates a set of conditional independencies to a graph. Two alternative Markov properties are available for chain graphs (CGs), the Lauritzen–Wermuth–Frydenberg (LWF) and the Andersson–Madigan– Perlman (AMP) Markov properties, which are different in general but coincide for the subclass of CGs with no flags . Markov equivalence induces a partition of the class of CGs into equivalence classes and every equivalence class contains a, possibly empty, subclass of CGs with no flags itself containing a, possibly empty, subclass of directed acyclic graphs (DAGs). LWF-Markov equivalence classes of CGs can be naturally characterized by means of the so-called largest CGs , whereas a graphical characterization of equivalence classes of DAGs is provided by the essential graphs . In this paper, we show the existence of largest CGs with no flags that provide a natural characterization of equivalence classes of CGs of this kind, with respect to both the LWF- and the AMP-Markov properties. We propose a procedure for the construction of the largest CGs, the largest CGs with no flags and the essential graphs, thereby providing a unified approach to the problem. As by-products we obtain a characterization of graphs that are largest CGs with no flags and an alternative characterization of graphs which are largest CGs. Furthermore, a known characterization of the essential graphs is shown to be a special case of our more general framework. The three graphical characterizations have a common structure: they use two versions of a locally verifiable graphical rule. Moreover, in case of DAGs, an immediate comparison of three characterizing graphs is possible.     

一个四层非均匀平面光波导的色散方程

借助 W.K.B 方法,参照四层均匀平面光波导的色散方程,提出了一个适用于计算四层非均匀平面光波导传播常数的色散方程。理论分析与数值计算表明,该方程不仅适用于具有任意折射率分布的四层非均匀波导,而且计算步骤简单,精度高。在0.6～1.55μm 波长范围内,用我们的公式与严格解析公式进行计算,其结果的最大差值<±1×10~(-4)。     

《国际私法》课程的教学方法探讨

案例教学和差异比较法教学是适合《国际私法》课程特点的教学方式方法。其中 ,案例教学是将教学内容、教学目的和教学方法等融汇于特定的案例分析和评价的一种教学过程和教学组织架构 ,一般由案例的准备、呈现、问题、思与行、评价和回归教材 6个环节动态地建构而成 ;而差异比较法教学则是以一个特定的国家的法律为比较基准 ,通过对各被比较国家在同一问题上的法律规定作相应的对比和分析 ,找出相应的差异并进一步探索国际私法的基本原理和解决法律冲突的方法的一种教学过程和教学方法 ,一般包括准备、实体法上的差异比较、法律冲突、解决冲突的方案、冲突规范的比较、综合评价 6个步骤。教师在《国际私法》课程的教学过程中应精心设计和实施案例教学和差异比较法教学且应将二者结合运用     

Mapping water quality by local scoring

The mean density of bacteria in a water body is commonly monitored using quantal assay. This paper describes the use of local scoring in estimating the spatial distribution of mean density from quantal assay results at a set of point locations. An application to estimating the mean density of fecal conform bacteria in a coastal pond is presented. Model diagnostics based on a parametric bootstrap are also presented.     

Modelling map positional error to infer true feature location

The authors consider the issue of map positional error, or the difference between location as represented in a spatial database (i.e., a map) and the corresponding unobservable true location. They propose a fully model‐based approach that incorporates aspects of the map registration process commonly performed by users of geographic informations systems, including rubber‐sheeting. They explain how estimates of positional error can be obtained, hence estimates of true location. They show that with multiple maps of varying accuracy along with ground truthing data, suitable model averaging offers a strategy for using all of the maps to learn about true location.