Bivariate versus univariate ordinal categorical data with reference to an ophthalmologic study

The Wisconsin Epidemiologic Study of Diabetic Retinopathy is a population-based epidemiological study carried out in Southern Wisconsin during the 1980s. The resulting data were analysed by different statisticians and ophthalmologists during the last two decades. Most of the analyses were carried out on the baseline data, although there were two follow-up studies on the same population. A Bayesian analysis of the first follow-up data, taken four years after the baseline study, was carried out by Angers and Biswas [Angers, J.-F. and Biswas, A., 2004, A Bayesian analysis of the four-year follow-up data of theWisconsin epidemiologic study of diabetic retinopathy. Statistics in Medicine, 23, 601–615.], where the choice of the best model in terms of the covariate inclusion is done, and estimates of the associated covariate effects were obtained using the baseline data to set the prior for the parameters. In the present article we consider an univariate transformation of the bivariate ordinal data, and a parallel analysis with the much simpler univariate data is carried out. The results are then compared with the results of Angers and Biswas (2004). In conclusion, our analyses suggest that the univariate analysis fails to detect features of the data found by the bivariate analysis. Even an univariate transformation of our data with quite high correlation with both left and right eyes is inadequate.     

Modelling of connected processes

The problem of comparing, contrasting and combining information from different sets of data is an enduring one in many practical applications of statistics. A specific problem of combining information from different sources arose in integrating information from three different sets of data generated by three different sampling campaigns at the input stage as well as at the output stage of a grey-water treatment process. For each stage, a common process trend function needs to be estimated to describe the input and output material process behaviours. Once the common input and output process models are established, it is required to estimate the efficiency of the grey-water treatment method. A synthesized tool for modelling different sets of process data is created by assembling and organizing a number of existing techniques: (i) a mixed model of fixed and random effects, extended to allow for a nonlinear fixed effect, (ii) variogram modelling, a geostatistical technique, (iii) a weighted least squares regression embedded in an iterative maximum-likelihood technique to handle linear/nonlinear fixed and random effects and (iv) a formulation of a transfer-function model for the input and output processes together with a corresponding nonlinear maximum-likelihood method for estimation of a transfer function. The synthesized tool is demonstrated, in a new case study, to contrast and combine information from connected process models and to determine the change in one quality characteristic, namely pH, of the input and output materials of a grey-water filtering process.     

预测气液两相分层流界面剪切应力的新方法

针对水平管气液两相分层流界面剪切应力的预测，建立了基于计算流体力学（CFD）方法的剪切滑移壁面模 型，即将气液界面处理为固定的具有均匀剪切应力的水平滑移壁面。利用FLUENT 软件模拟了气相流动，气液界面采 用剪切滑移壁面边界条件，通过对比实验测量的气相流场分布得到气速和界面剪切收敛值，并由收敛值拟合得到界 面摩擦因子与气相雷诺数的关联式。应用这一关联式的预测结果与实验间接测量值吻合较好，并且在气、液相雷诺 数9 4006ReG650 000 和21 0006ReL630 000 范围内优于Taitel 和Dukler 与Sidi-Ali 和Gatignol 模型。表明剪切滑移壁 面模型可以有效地控制关键参数，提高预测效率和精度，为CFD 方法预测气液两相分层流界面剪切应力提供了新的 思路。     

论我国量刑程序模式的选择

量刑程序与定罪程序一样是刑事审判环节,具有独立性与依附性特征,而我国立法层面的量刑程序几乎是空白。我国在现有的司法环境下实行相对独立的量刑程序符合国际司法潮流,这一程序也没有增加各诉讼参加人的负担,较易操作落实,且有相关的配套程序和实践基础,因此具有可行性。但在实践中应注意一些问题,如要清晰控辩审三方在量刑程序中的定位,使社会调查报告机制走向制度化、专业化,判决书中应对量刑的依据和理由进行阐述等。     

Robust sparse regression and tuning parameter selection via the efficient bootstrap information criteria

There is currently much discussion about lasso-type regularized regression which is a useful tool for simultaneous estimation and variable selection. Although the lasso-type regularization has several advantages in regression modelling, owing to its sparsity, it suffers from outliers because of using penalized least-squares methods. To overcome this issue, we propose a robust lasso-type estimation procedure that uses the robust criteria as the loss function, imposing L₁-type penalty called the elastic net. We also introduce to use the efficient bootstrap information criteria for choosing optimal regularization parameters and a constant in outlier detection. Simulation studies and real data analysis are given to examine the efficiency of the proposed robust sparse regression modelling. We observe that our modelling strategy performs well in the presence of outliers.     

普通化学课程多媒体网络教学模式的探索

在现代教育理论的指导下,探讨运用多媒体网络教学优势。多媒体网络辅助教学作为一种先进的教学手段在教学各方面都起着非常重要的作用,丰富课堂内容,激发学生学习兴趣,培养学生创新思维和解决问题的能力,提高普通化学教学质量。     

正常商品的替代效应与收入效应研究

目前,国内外的微观经济学教科书中,关于正常商品的替代效应和收入效应的图形说明很不一致。主要是关于正常商品降价后新的预算线上的均衡点和原始预算线上的均衡点的位置不同。为此,在给定消费者效用函数和预算线方程的基础上,通过对正常商品降价(涨价)后带来的总效应、替代效应以及收入效应进行数理分析,使人们达到完整准确地理解和掌握正常商品的替代效应和收入效应的目的。     

Bivariate symbolic regression models for interval-valued variables

Interval-valued variables have become very common in data analysis. Up until now, symbolic regression mostly approaches this type of data from an optimization point of view, considering neither the probabilistic aspects of the models nor the nonlinear relationships between the interval response and the interval predictors. In this article, we formulate interval-valued variables as bivariate random vectors and introduce the bivariate symbolic regression model based on the generalized linear models theory which provides much-needed exibility in practice. Important inferential aspects are investigated. Applications to synthetic and real data illustrate the usefulness of the proposed approach.     

Optimal record-based statistical procedures for the two-parameter exponential distribution

There are a number of situations in which the experimental data observed are record statistics. In this paper, optimal confidence intervals as well as uniformly most powerful (MP) tests for one-sided alternatives are developed. Since a uniformly MP test for a two-sided alternative does not exist, generalized likelihood ratio and uniformly unbiased and invariant tests are derived for the two parameters of the exponential distribution based on record data. For illustrative purposes, a data set on the times between consecutive telephone calls to a company's switchboard is analysed using the proposed procedures. Finally, some open problems in this direction are pointed out.     

以规范求发展 以发展求规范——新时期高校学生社团的发展探析

党的十七届四中全会明确提出"坚持以执政能力建设和先进性建设为主线,保证党始终走在时代前列"。加强高校党建工作是事关高等教育改革与发展兴衰成败的大事,对于高等学校党组织的先进性建设,这也是社会主义大学的本质所决定的。在当前世情、国情、党情发生重大变化,尤其是当今国际金融危机、国际互联网等给高校党组织先进性建设带来深刻影响的形势下,高校党组织必须通过不断加强党员干部队伍的政德建设、优化选用干部人才的环境氛围、创新大党建的管理机制等措施,建立健全先进性建设的长效机制。