关于留数定理的一个推广

研究了留数定理的有关问题,通过举例论证和归纳推理等证明方法,得到了单个留数定理的一个推广结论,最后将此结论应用于一些积分问题中.     

On asymptotic distribution of prediction in functional linear regression

There has been substantial recent attention on problems involving a functional linear regression model with scalar response. Among them, there have been few works dealing with asymptotic distribution of prediction in functional linear regression models. In recent literature, the centeral limit theorem for prediction has been discussed, but the proof and conditions under which the random bias terms for a fixed predictor converge to zero have been ignored so that the impact of these terms on the convergence of the prediction has not been well understood. Clarifying the proof and conditions under which the bias terms converge to zero, we show that the asymptotic distribution of the prediction is normal. Furthermore, we have derived those results related to other terms that already obtained by others, under milder conditions. Finally, we conduct a simulation study to investigate performance of the asymptotic distribution under various parameter settings.     

对我国法院行政事务管理体制改革的思考

法院的行政事务管理是任何国家的法院系统无法回避的问题,而审判工作与法院的司法行政事务是有着不同的规律性要求的,为保障法院的有效运行,各法治国家在不同司法体制和历史文化背景下都形成了各具特色的司法行政体制,主要有两类模式:一是完全独立于法院,由专门的司法行政机构进行管理;二是由法院主导下的相对独立机构对司法行政事务进行管理.而目前我国法院系统的行政事务管理则没有认识到其与审判工作的不同要求,需要作相应的体制改革.     

关于发电企业内部实施市场运营的思考

传统的发电企业管理运营模式呈现出诸多弊端,已严重阻碍企业的进一步发展。运检分离则为其提供了一种好的经营管理模式。本文分别对发电厂、检修公司的运营办法进行了具体、详细的研究,此方案对发电企业内部实施市场运营具有指导意义。     

When is n large enough? Looking for the right sample size to estimate proportions

The central limit theorem indicates that when the sample size goes to infinite, the sampling distribution of means tends to follow a normal distribution; it is the basis for the most usual confidence interval and sample size formulas. This study analyzes what sample size is large enough to assume that the distribution of the estimator of a proportion follows a Normal distribution. Also, we propose the use of a correction factor in sample size formulas to ensure a confidence level even when the central limit theorem does not apply for these distributions.     

A general central limit theorem and a subsampling variance estimator for α‐mixing point processes

We establish a central limit theorem for multivariate summary statistics of nonstationary α‐mixing spatial point processes and a subsampling estimator of the covariance matrix of such statistics. The central limit theorem is crucial for establishing asymptotic properties of estimators in statistics for spatial point processes. The covariance matrix subsampling estimator is flexible and model free. It is needed, for example, to construct confidence intervals and ellipsoids based on asymptotic normality of estimators. We also provide a simulation study investigating an application of our results to estimating functions.     

Separation and Post‐Separation Parenting within Lesbian and Gay Co‐parenting (Guild Parented) Families

Gay men and lesbian women have a long history of jointly creating families and co‐parenting their children together. This qualitative study aims to explore the experiences of separation and post‐separation parenting within same‐sex parented families. This involved semi‐structured in‐depth interviews with 22 separated same‐sex parents in Adelaide, Melbourne, Sydney, Brisbane, and regional Victoria. An adaptive theory approach was used for the collection and analysis of the data. The paper explores data from a cohort of six participants who came from three different multi‐parent families who had experienced a separation – either their own, or that of other parents in their parenting group. The term ‘co‐parenting families’ was found to be confusing due to the different connotations within separation/divorce and same‐sex parent literature. Consequently, the term ‘guild parented families’ was created to describe these families. Participants from these multi‐parent families had very different experiences of family formation and separation compared to others within the wider separated same‐sex parent study. Separation of one or more of the parent couples within these families complicated their original plans and kinship ideals. Each of the families resolved this differently in their post‐separation arrangements. After separation, whole family narratives and/or the role of individual parents, were either questioned or revised as a way of resolving the complexity of their new kinship situation. Following separation, parents often relied on Western kinship norms that privilege biological kinship and the dual‐parent family to construct their post‐separation kinship arrangements. More awareness of families that begin with more than two parents is needed within separation research and amongst separation services and service providers.     

关于Feigenbaum型泛函方程的C^1解

利用Schauder不动点定理、自同胚和紧凸子集的相关性质研究Feigenbaum型泛函方程的连续可微解的存在性和唯一性.     

我国排污权交易制度的应用研究

排污权交易制度作为一种新的治理企业污染的市场手段比政府行政管制手段具有更大的优势,它将市场机制充分地运用于环境资源的配置,在总量控制的前提下,通过排污权的交易,实现低成本治理污染,有利于环境保护和经济的可持续发展.我国已经具有了实施排污权交易的基本条件,根据我国的现实国情,设计了包括立法、信息公示、监控系统、总量控制、排污权的初始分配和市场交易等六部分构成的排污权交易制度,提出了我国实现排污权交易一些急待解决的问题.