A Bayesian approach for locating change points in a compound Poisson process with application to detecting DNA copy number variations

This work examines the problem of locating changes in the distribution of a Compound Poisson Process where the variables being summed are iid normal and the number of variable follows the Poisson distribution. A Bayesian approach is developed to identify the location of significant changes in any of the parameters of the distribution, and a sliding window algorithm is used to identify multiple change points. These results can be applied in any field of study where an interest in locating changes not only in the parameter of a normally distributed data set but also in the rate of their occurrence. It has direct application to the study of DNA copy number variations in cancer research, where it is known that the distances between the genes can affect their intensity level.     

Hajek–Renyi-type inequality and strong law of large numbers for END sequences

In this paper, we get the Hajek–Renyi-type inequality under 0 < q ? 2 for a sequence of extended negatively dependent (END) random variables with concrete coefficients, which generalizes and extends the general Hajek–Renyi-type inequality. In addition, we obtain some new results of the strong laws of large numbers and strong growth rate for END sequences.     

Exponential inequalities for sums of unbounded ϕ-mixing sequence and their applications

In the article, the exponential inequalities for sums of unbounded ?-mixing sequence are given, which generalize the corresponding one for independent and identically distributed random variables. As applications, the strong law of large numbers and strong growth rate for ?-mixing random variables are obtained.     

The strong laws of large numbers for weighted sums of extended negatively dependent random variables

In this paper, the strong laws of large numbers for maximum value of weighted sums of extended negatively dependent random variables are obtained, which improve and extend the corresponding ones for independent random variables and some dependent random variables.     

Impact of Model Choice on LR Assessment in Case of Rare Haplotype Match (Frequentist Approach)

The likelihood ratio (LR) measures the relative weight of forensic data regarding two hypotheses. Several levels of uncertainty arise if frequentist methods are chosen for its assessment: the assumed population model only approximates the true one, and its parameters are estimated through a limited database. Moreover, it may be wise to discard part of data, especially that only indirectly related to the hypotheses. Different reductions define different LRs. Therefore, it is more sensible to talk about ‘a’ LR instead of ‘the’ LR, and the error involved in the estimation should be quantified. Two frequentist methods are proposed in the light of these points for the ‘rare type match problem’, that is, when a match between the perpetrator's and the suspect's DNA profile, never observed before in the database of reference, is to be evaluated.     

富铈混合稀土及锶对铸铝A356组织和力学性能的影响

本文通过加入不同富铈稀土变质剂和Sr对A356铸铝进行变质,分析了枝晶及共晶硅形貌,测试了几组材料的延伸率、拉伸强度和疲劳行为。试验及分析表明:变质剂对微结构的主要作用是改善了枝晶分布的均匀度,使共晶硅形态趋向短粗和圆棒状。随变质剂加入量的增加,A356合金的拉伸强度和延伸率逐渐增加。变质剂对A356铝合金的低周疲劳性能影响甚微,而提高了高周疲劳寿命。综合分析表明,变质剂对枝晶组织的均匀化和对共晶硅形貌的变化减小了初始缺陷尺寸,对疲劳裂纹萌生寿命的提高有显著影响。     

数形结合:数学解题方法归类叙论简

数形结合是解决数学问题的一种重要思想方法，在数学教学中占有重要地位。它是通过“以形助数。以数解形”的巧妙应用，使复杂问题简单化、抽象问题具体化，使问题能够轻松得到解决，从而起到事半功倍的效果。     

报业的核心能力及其特征

文章认为,能力生成于资源,核心能力生成于稀有的、无形的资源。对报业组织来说,新闻价值观、核心知识是资源,现行报业管理体制下的媒体本身也是资源,报业的核心能力均由此而来。由于和执政党的特殊关系,也由于分享了执政党的公信力和亲和力,党报的稀缺性资源相对更多一些,其核心能力也应该更强。     

试释《封禅》

本文阐释了《封禅》篇所表述的主要观点。认为:将封禅文字立为一种文体确具创始意义,但混淆了封禅刻石文与一般述及封禅之文章的区别;篇中对封禅文所提的写作要求,主要是情采与通变两个方面,其基点是宗经;由于抑法扬儒的思想倾向,著者对秦泰山刻石文,褒不足而贬有余。     

A glimpse of the impact of pál erd#ous on probability and statistics

The title of this article notwithstanding, it is the author's aspiration here to provide a bit more than merely a glimpse of some of Erdõs's contributions per se to probability‐statistics. He hopes to have succeeded in providing a guided tour of, and whenever it has appeared feasible, an introduction to, a few selected areas that have been strongly influenced by the work of Erdõs. The author also hopes to have succeeded in facilitating a glimpse of the impact of these contributions by presenting them in their historical context.