Extensions of Samuelson's Inequality

In this note we obtain upper and lower bounds for the kth largest number in a set of real numbers in terms of their mean and standard deviation. For each inequality necessary and sufficient conditions for equality are given.     

Correlation,Regression Lines,and Moments of Inertia

The R language, a freely available environment for statistical computing and graphics is widely used in many fields. This “expert-friendly” system has a powerful command language and programming environment, combined with an active user community. We discuss how R is ideal as a platform to support experimentation in mathematical statistics, both at the undergraduate and graduate levels. Using a series of case studies and activities, we describe how R can be used in a mathematical statistics course as a toolbox for experimentation. Examples include the calculation of a running average, maximization of a nonlinear function, resampling of a statistic, simple Bayesian modeling, sampling from multivariate normal, and estimation of power. These activities, often requiring only a few dozen lines of code, offer students the opportunity to explore statistical concepts and experiment. In addition, they provide an introduction to the framework and idioms available in this rich environment.     

学业质量增值评价数学模型的比较研究——以西部某区教育实证数据为例

增值评价是以学生成长为核心,以学校发展为目标的一种评价方式,可以更公平地评价学校效能。增值评价有多种数学模型,其中,与基于平均名次、基于标准分的两种模型相比,基于学生成长百分位和多层线性回归两种模型的优势在于能够避免优秀学生增值空间受限的问题。在多层线性回归模型中纳入学生性别、家庭社会经济地位指数等学校不可控的生源因素,可有效排除生源因素对学生的影响,更符合关注学校“净效能”的评价理念。     

The beta generalized gamma distribution

For the first time, a new five-parameter distribution, called the beta generalized gamma distribution, is introduced and studied. It contains at least 25 special sub-models such as the beta gamma, beta Weibull, beta exponential, generalized gamma (GG), Weibull and gamma distributions and thus could be a better model for analysing positive skewed data. The new density function can be expressed as a linear combination of GG densities. We derive explicit expressions for moments, generating function and other statistical measures. The elements of the expected information matrix are provided. The usefulness of the new model is illustrated by means of a real data set.     

基于犹豫直觉模糊语言集均值-标准差偏好距离的多属性决策研究

在犹豫直觉模糊语言集和语言尺度函数的基础上定义了均值-标准差偏好的Hamming距离，并提出了基于犹豫直觉模糊语言集距离TOPSIS和TODIM的多属性决策方法，进一步利用这两种方法对实例问题建筑商的招标方案进行排序，并讨论了偏好参数对排序结果的灵敏度分析。为验证上述方法的有效性，与已有方法对同一实例的排序结果进行了比较分析。     

乡村生态环境治理“阻点”及其破解路径研究 — —基于利益相关性视角

乡村生态环境治理是乡村振兴行之有效的切入点。但当前，乡村生态环境治理，在不同利益主体不同利益关注点下，出 现了多重阻点，如政府有限利益认知下的治理排序选择；政府“重当下政绩，轻远期生态”的行政作为；村民“重当下收益、轻长 远生态”的个体作为；村民“重私人利益，忽视公共利益”的习惯性倾向；乡村污染型企业主“重成本支出，忽视生态环境”的行为 选择等造成了乡村生态环境治理重重“阻点”。为破解这些治理阻点，需要重构乡村生态环境整治利益机制，重塑利益链条，并 建设包括理念重整、生产转型、技术提升、监督强化等在内的路径体系。     

The run length distributions of the R,s and s2 control charts when is estimated

R, s and s2 charts with estimated control limits are widely used in practice. Common practice in control-chart theory is to estimate the control limits using data from the process and, once the process is determined to be in control, to treat the resulting control limits as though fixed. While there are empirical rules for setting up the control charts using past or trial data, little is known about the run length distributions of these charts when the fact that control limits are estimated is taken into account. In this paper, we derive and evaluate the run length distributions associated with the R, s and s2 charts when the process standard deviation a is estimated. The results are then used to discuss the appropriateness of the widely followed empirical rules for choosing the number m of samples and the sample size n.     

旅游地卡通代言人个性与品牌个性偏离度探析

借助偏离度模型可以较为准确地衡量卡通代言人个性与旅游地品牌个性的不匹配程度。以芜湖方特欢乐世界为例,实地调研结果显示：芜湖方特品牌个性、卡通代言人个性的实际认知与品牌个性期望值之间皆存在较高的负向偏离度,主要是由主题项目过度延伸、品牌定位出现偏差,卡通代言人个性设计不突出,卡通代言个性与品牌个性不符等造成的,芜湖方特需要精准差异化定位,塑造并推广鲜明、突出的品牌个性,并围绕品牌个性,设计个性鲜明、凸显内涵的卡通代言形象,继而全方位推广运作,强化卡通代言与品牌联想点,以最大程度地修正偏离,充分利用卡通代言策略提升芜湖方特品牌形象。     

农村劳动力移民的地位分层及认同分化

在经由“农业生产”向“非农职业”的“一次分化”之后,进入城市从事非农工作的农村劳动力移民正发生着客观社会经济地位和主观地位认同的“二次分化”。利用CGSS2013数据的分析表明：在农村劳动力移民客观社会经济地位的分化过程中,人力资本成为获得较高客观社会经济地位(声望、权力和收入)的关键机制,而社会资本则不具有显著的经济收入回报。此外,在其主观地位认同的分化过程中,客观社会经济地位决定了农村劳动力移民主观地位认同的基本定位,而以“相对剥夺感”为核心的社会体验因素则在很大程度上决定了主客观地位认同偏移的具体方向。相对剥夺体验较强者更易出现地位认同的“向下偏移”,相对剥夺体验较弱者更易出现地位认同的“向上偏移”。     

视觉人称:绘画与影像艺术作品中的感知视角

视觉的人称变化对观看的结果起着决定性的作用,合适的视角既是合理观看的前提,也是艺术理念得以传播的先决条件。作品中事件行为主体的观看视角(第一人称视角)强调观者体验感知并沉浸其中,在心理上产生审美移情;事件旁观者视角(第三人称视角)与无行为主体假想视角强调叙述,更注重对事件本质的掌控。通过对视角的人称定位与变化的研究,将有利于更好的理解作品创作目的并协助创作,同时实现全方位、多维度视觉上的审美共识。