一个重要积分不等式的证明、推广及应用

利用定积分定义直接证明和推广了文献 [1 ,2 ]中的一个重要积分不等式φ(1b -a∫baf(x)dx)≤ 1b -a∫baφ(f(x) )dx ,并应用它推广了文献 [2 ,3]中的一些积分不等式     

High-dimensional grouped folded concave penalized estimation via the LLA algorithm

The group folded concave penalization problems have been shown to process the satisfactory oracle property theoretically. However, it remains unknown whether the optimization algorithm for solving the resulting nonconvex problem can find such oracle solution among multiple local solutions. In this paper, we extend the well-known local linear approximation (LLA) algorithm to solve the group folded concave penalization problem for the linear models. We prove that, with the group LASSO estimator as the initial value, the two-step LLA solution converges to the oracle estimator with overwhelming probability, and thus closing the theoretical gap. The results are high-dimensional which allow the group number to grow exponentially, the true relevant groups and the true maximum group size to grow polynomially. Numerical studies are also conducted to show the merits of the LLA procedure.     

易腐性产品运输设施选择博弈

易腐性产品的价值会随着时间的流逝而逐渐损失,多个客户可以联合使用某种运输设施时,如何对费用进行公平且稳定的分摊是合作能否进行的基础.把易腐性产品的损失价值和运输费用之和作为总费用,进而将易腐性产品的运输设施选择的费用分配问题构造成运输设施选择合作博弈,证明了在易腐性产品负指数价值损失的情况下,运输设施选择博弈的核心非空,且为凹博弈,并讨论了解的特征.论文还证明具有附加运输费用的运输设施选择博弈的核心非空,分析了核心与线性规划松弛的对偶最优解之间的关系.论文对有约束设施选择博弈进行了分析,并提出了进一步研究的方向.     

浅谈“官本位”与知识分子“过劳死”

近年来,知识分子“过劳死”现象屡见媒体,造成了巨大的社会效应。知识分子“过劳死”现象的产生有其生理、心理、社会性根源,但笔者认为,“过劳死”现象更深层次的是社会文化价值方面的原因。本文试从中国文化的“官本位”思想入手,探索知识分子“过劳死”之根源。     

上限法求解不同型线凹模棒材挤压力

在柱坐标系下,采用上限法推导了不同型线凹模棒材挤压力理论计算公式;并计算了锥模棒材挤压力,其计算结果接近实测值,相对误差平均值为2.5%左右;这表明不同型线凹模棒材挤压力理论计算公式是可行的.     

非线性规划在证明不等式中的应用(英文)

我们在讨论完全t部图的色等价问题时 ,需要确定变量 αt =-lTQB 在约束 ( β+b) TB( β+b) <α2 t 下的变化范围 ,其中αt ∈R ,l ,b ,β∈Rt-1 ,Q ,B∈R(t-1 )×(t-1 ) (αt,l,b ,Q ,B)的定义见正文中的定理 ) .我们利用非线性规划的方法 ,证明了如下不等式 :ct-dt-1 at<αt 相似文献   

钢筋压接机承压模的有限元分析

本文讨论了“Ｏ”形钢筋压接机中的一个重要部件承压模的受力分布情况。并对不同厚度的承压模进行了有限元分析，提出了最佳设计方案。     

在冲裁凹模平面固定板上固定镶块的研究

本文对冲裁凹模进行了受力分析，得到了镶块固定的影响因素及力学关系， 以供设计参考.     

Conditional Stochastic Dominance Testing

This article proposes bootstrap-based stochastic dominance tests for nonparametric conditional distributions and their moments. We exploit the fact that a conditional distribution dominates the other if and only if the difference between the marginal joint distributions is monotonic in the explanatory variable at each value of the dependent variable. The proposed test statistic compares restricted and unrestricted estimators of the difference between the joint distributions, and it can be implemented under minimal smoothness requirements on the underlying nonparametric curves and without resorting to smooth estimation. The finite sample properties of the proposed test are examined by means of a Monte Carlo study. We illustrate the test by studying the impact on postintervention earnings of the National Supported Work Demonstration, a randomized labor training program carried out in the 1970s.