二维拟线性散度型二阶椭圆型方程弱解的弱收敛

本文用 H—测度来研究二维拟线性散度型二阶椭圆型方程弱解的弱收敛性,并讨论了非一致椭圆的情形,得到了一些很好的结果.     

Classical estimation of hazard rate and mean residual life functions of Pareto distribution

Abstract

In this paper we find the maximum likelihood estimates (MLEs) of hazard rate and mean residual life functions (MRLF) of Pareto distribution, their asymptotic non degenerate distribution, exact distribution and moments. We also discuss the uniformly minimum variance unbiased estimate (UMVUE) of hazard rate function and MRLF. Finally, two numerical examples with simulated data and real data set, are presented to illustrate the proposed estimates.     

The umvue and bayes estimate of reliability of mixed failure time distribution

We study the reliability estimates of the non-standard mixture of degenerate (degenerated at zero) and exponential distributions. The Uniformly Minimum Variance Unbiased Estimator (UMVUE) and Bayes estimator of the reliability for some selective prior when the mixing proportion is known and unknown are derived. The Bayes risk is computed for each Bayes estimator of the reliability. A simulated study is carried out to assess the performance of the estimators alongwith the true and Maximum Likelihood Estimate (MLE) of the reliability. An example from Vannman (1991) is also discussed at the end of the paper.     

一类对角型退缩椭圆组弱解的全局正则性

本文证明了在控制增长及自然增长条件下，带A2类权函数的对角型拟线性方程组的全局正则性。     

简并能级多级微扰的高阶修正

就最一般情况，给出了简并能级多级微扰至四阶的修正过程，得到了能量修正和近似波函数的公式．     

Integrated Square Error Asymptotics for Supersmooth Deconvolution

Abstract.  We derive the asymptotic distribution of the integrated square error of a deconvolution kernel density estimator in supersmooth deconvolution problems. Surprisingly, in contrast to direct density estimation as well as ordinary smooth deconvolution density estimation, the asymptotic distribution is no longer a normal distribution but is given by a normalized chi-squared distribution with 2 d.f. A simulation study shows that the speed of convergence to the asymptotic law is reasonably fast.     

比率依赖型捕食系统的稳定性分析

研究了一类比率依赖型捕食系统的稳定性,并讨论了退化平衡点的稳定性,从而得出所有可能出现的稳定性情况.     

Projection‐Based Statistical Inference in Linear Structural Models with Possibly Weak Instruments

It is well known that standard asymptotic theory is not applicable or is very unreliable in models with identification problems or weak instruments. One possible way out consists of using a variant of the Anderson–Rubin ((1949), AR) procedure. The latter allows one to build exact tests and confidence sets only for the full vector of the coefficients of the endogenous explanatory variables in a structural equation, but not for individual coefficients. This problem may in principle be overcome by using projection methods (Dufour (1997), Dufour and Jasiak (2001)). At first sight, however, this technique requires the application of costly numerical algorithms. In this paper, we give a general necessary and sufficient condition that allows one to check whether an AR‐type confidence set is bounded. Furthermore, we provide an analytic solution to the problem of building projection‐based confidence sets from AR‐type confidence sets. The latter involves the geometric properties of “quadrics” and can be viewed as an extension of usual confidence intervals and ellipsoids. Only least squares techniques are needed to build the confidence intervals.     

非线性退缩抛物型方程的正解

考虑退缩抛物型方程ut =ln(1 ｜u｜) (△u u)的初边值问题 ,得出了解的存在性和非负性     

基于五大发展理念的人才发展环境动态评价实证研究——以国家自主创新示范区为例

基于五大发展理念的人才发展环境动态评价体系构建对引导政府按照“五大发展理念”要求推进人才工作具有重要价值。以五大发展理念作为人才工作的基本遵循为切入点，从创新环境、绿色环境、开放环境、协调环境和共享环境准则层构建包含10个一级指标和29个二级指标的人才发展环境评价指标体系。应用基于二次加权的“纵横向”拉开档次动态评价方法，对2011—2015年合肥、芜湖、蚌埠三个国家自主创新示范区人才发展环境进行动态评价，对其人才发展环境的变化进行比较分析。研究结果表明:国家自主创新示范区人才环境发展不平衡，彼此间差异明显，并且影响每个示范区人才环境的因素各异。因此，政府部门要因地制宜制定相关优化政策，缩小各示范区之间的差距，推进其均衡协调发展。