Cauchy-Schwarz不等式的应用及推广

Cauchy-Schwarz不等式是异于均值不等式的另一个重要不等式,不仅在数学分析、高等代数中应用比较广泛,在竞赛数学和工程实际计算中也有广泛的应用.研究Cauchy-Schwarz不等式的几种特殊形式,并分别给出了它们的证明,最后给出了Cauchy-Schwarz不等式的推广形式.     

从重大公共卫生事件透析“90后”的现代健康观念

伴随社会经济的迅猛发展和城市化步伐的加快，生态破坏、环境污染等问题日益加剧。生物界自然平衡状态的打破导致近年来我国各类公共卫生危机频发，处于公共卫生事件的高发期，“90后”作为一个特殊的青少年群体，由于其身心机能发育尚未成熟，不但是此类事件中最主要的易感人群，更容易产生各类心理障碍与行为问题。现代健康观念的树立和综合健康素养的提升在这一阶段尤为关键。研究发现，“90后”青少年的健康观念趋于科学理性，健康自我管理能力和习惯养成有待提升：对健康危机的忧患意识较强，危机状态下的心理承受能力较弱；具备一定的公民责任意识和行为自律意识，但面对一些较为复杂的社会现象，现代法制观念和人文关怀意识仍有所欠缺     

Measuring non-linear dependence for two random variables distributed along a curve

We propose new dependence measures for two real random variables not necessarily linearly related. Covariance and linear correlation are expressed in terms of principal components and are generalized for variables distributed along a curve. Properties of these measures are discussed. The new measures are estimated using principal curves and are computed for simulated and real data sets. Finally, we present several statistical applications for the new dependence measures.     

Media and Popular Culture Representations of LGBT Bullying

SUMMARY

This article critically reviews diverse representations of bullying of gay, lesbian, bisexual and transgender people in contemporary media: cinema, television, journals, Web sites, fiction, children's books, comics, music, advertising, and pornography.     

新闻学毕业生就业心理问题与调适

新闻学是近年来的热门专业,但随着高校扩招、行业变革等因素,新闻学毕业生也面临着严峻的就业形势,越来越多的新闻学毕业生产生心理落差,出现了不同程度的就业心理问题.针对此现象,本文从积极发挥社会的作用、创造良好的就业环境,深化高校教育改革及主体调适三方面提出了相应的调适方法,以期提高新闻学毕业生的心理素质,增强其就业竞争力...     

On a statistic useful in dimensionality reduction in multivariable linear stochastic system

In this paper we study the sampling properties of a test statistic which has important applications in the area of linear stochastic control systems with multi-inputs and multi-outputs. The statistic is the ratio of a partial sum of the eigenvalues of a sample covariance matrix and its trace. It turns out that using a method due to Sugiura we may derive a useful approximation for its distribution up to and including terms of order l/n, where n denotes the appropriate size. Numerical illustrations using real data are given.     

Bayesian approach to estimation of intraclass correlation using reference prior

For the balanced variance component model when the intraclass correlation coefficient is of interest, Bayesian analysis is often appropriate. Berger and Bernardo’s (1992a) grouped ordering reference prior approach is used to analyze this model. The reference priors are developed and compared for the posterior inference with real and simulated data. We examine whether the reference priors satisfy the probability-matching criterion. Further, the reference prior is shown to be good in the sense of correct frequentist coverage probability of the posterior quantile.     

A modification of watson's statistic for goodness-of-fit

A modification of Watson's statistic is suggested for dealing with stochastically ordered alternatives in the goodness-of-fit setting.     

Robust methods of estimation of regression coefficients 1

Recently, cumulative residual entropy (CRE) has been found to be a new measure of information that parallels Shannon's entropy (see Rao et al. [Cumulative residual entropy: A new measure of information, IEEE Trans. Inform. Theory. 50(6) (2004), pp. 1220–1228] and Asadi and Zohrevand [On the dynamic cumulative residual entropy, J. Stat. Plann. Inference 137 (2007), pp. 1931–1941]). Motivated by this finding, in this paper, we introduce a generalized measure of it, namely cumulative residual Renyi's entropy, and study its properties. We also examine it in relation to some applied problems such as weighted and equilibrium models. Finally, we extend this measure into the bivariate set-up and prove certain characterizing relationships to identify different bivariate lifetime models.     

直面就业压力 创造就业机会应是社会发展的重要战略目标

本文认为， 我国２０ 年来的改革取得了巨大成就， 但以目前的经济和社会发展的状况和规模而言， 还无法为１２５亿人口中的所有劳动人口提供足够的就业岗位。因此， 当前和今后仍面临着巨大的就业压力。面对现实， 最大限度地创造就业机会， 应当成为我国在２１ 世纪前２０ 年或更长时间内发展战略的重要目标选择