众数就是位置平均数及其他——与范赞成先生关于《众数之误》商榷

文章对<众数之误>一文不准确之处进行了分析,指出众数就是位置平均数,现行统计教材中关于众数的内容基本正确,并希望与该文作者及读者进行交流.     

小型变流量电磁泵的结构优化设计

本文在介绍电磁泵的结构组成的基础上,详细介绍了采用复合形法对电磁泵进行优化设计的具体步骤。     

积分变换求梁的变形

本文从求解梁挠度的二阶差分方程出发,通过Z变换,最后推导出计算挠度和转角的简单公式,使计算过程简化。对于变截面梁和复杂受载下,此法尤为简便。同时,这也是处理离散参数的数学方法—Z变换在力学中应用的初步尝试。     

时频混合重叠复用系统的快速检测算法

为提高通信系统的频谱效率,研究了一种时频混合重叠复用系统,并提出针对该系统的基于Gabor变换的快速检测算法和利用误差反向传播思想的改进检测算法。实验结果表明,与利用最大似然序列估计检测算法相比,该算法在牺牲部分性能的条件下,检测速度大幅提高,且系统性能和检测速度做了很好的折衷,在较高信噪比时仍然优于相同频谱效率的高阶调制。采用相互重叠的信号复用传输方式直接提高传输速率比使用同样频谱效率的高阶QAM调制能带来更大的增益。     

The empirical Bayes estimators of the parameter of the Poisson distribution with a conjugate gamma prior under Stein's loss function

For the hierarchical Poisson and gamma model, we calculate the Bayes posterior estimator of the parameter of the Poisson distribution under Stein's loss function which penalizes gross overestimation and gross underestimation equally and the corresponding Posterior Expected Stein's Loss (PESL). We also obtain the Bayes posterior estimator of the parameter under the squared error loss and the corresponding PESL. Moreover, we obtain the empirical Bayes estimators of the parameter of the Poisson distribution with a conjugate gamma prior by two methods. In numerical simulations, we have illustrated: The two inequalities of the Bayes posterior estimators and the PESLs; the moment estimators and the Maximum Likelihood Estimators (MLEs) are consistent estimators of the hyperparameters; the goodness-of-fit of the model to the simulated data. The numerical results indicate that the MLEs are better than the moment estimators when estimating the hyperparameters. Finally, we exploit the attendance data on 314 high school juniors from two urban high schools to illustrate our theoretical studies.     

Estimation of nonseparable models with censored dependent variables and endogenous regressors

In this article we develop a nonparametric estimator for the local average response of a censored dependent variable to endogenous regressors in a nonseparable model where the unobservable error term is not restricted to be scalar and where the nonseparable function need not be monotone in the unobservables. We formalize the identification argument put forward in Altonji, Ichimura, and Otsu (2012 Altonji, J. G., Ichimura, H., Otsu, T. (2012). Estimating derivatives in nonseparable models with limited dependent variables. Econometrica 80:1701–1719.[Crossref], [Web of Science ®] , [Google Scholar]), construct a nonparametric estimator, characterize its asymptotic property, and conduct a Monte Carlo investigation to study its small sample properties. Identification is constructive and is achieved through a control function approach. We show that the estimator is consistent and asymptotically normally distributed. The Monte Carlo results are encouraging.