A note on the Cauchy-type mixture distributions

An interesting class of continuous distributions, called Cauchy-type mixture, with potential applications in modelling erratic phenomena is introduced by Soltani and Tafakori [A class of continuous kernels and Cauchy type heavy tail distributions. Statist Probab Lett. 2013;83:1018–1027]. In this work, we provide more insights into the Cauchy-type mixture distributions, involving certain characterizations, connections with the generalized Linnik distributions and the class of discrete distributions induced by stable laws. We also prove that the Laplace transform of Cauchy-type mixture distributions when normalized by constant terms become as a density functions in terms of distributional conjugate property.     

基于邻避运动视域的中产阶层功能重新审视]——以R市的“核邻避运动”为例

国内学术界将“中产阶层”视为社会政治“稳定—缓冲”器的认知看似符合静态的中国社会结构,但就现实而言,却忽略了转型期中国政治社会情境的复杂性和过渡性。近年来,城市中产业主引发的愈演愈烈的邻避运动,更是挑战这一传统认知。基于R市“核邻避运动”的视域,我们发现中国城市中产阶层的社会政治功能在某一特定时间流下会发生转变,甚至出现了“稳定器”和“动荡器”两个相对立的社会、政治功能。而差别阶层特质、中产精英上台等内部中介机制,以及怨愤情绪生产、政府内部分歧等外部中介机制,是中产阶层社会政治功能演化的深层机制。此外,值得注意的是,由于“身份限制”和“制度限制”的二重性,中产阶层的社会政治功能往往并不会演变为“颠覆—异化”器。     

零售市场价格策略的演化博弈分析

基于一个三阶段Hotelling博弈模型:位于[0,1]线性城市两端的零售A和B第一阶段同时选择价格策略变量,第二阶段确定价格的大小,第三阶段由消费者选择零售商。应用演化博弈论进行研究,分析了零售市场价格策略的演化稳定性。     

基于进化博弈的专利联盟形成研究

专利联盟作为高新技术产业发展的主导范式,对技术标准的建立有重要的作用。但是多数情况下提高社会福利的联盟却难以形成,这就是所谓专利联盟的形成困境问题。从专利权人的有限理性和重复博弈角度分析专利联盟的形成,分别建立对称和非对称专利联盟形成的进化博弈模型,得到不同条件下的进化稳定策略,并探讨影响联盟形成的条件和因素。研究结果表明,专利联盟更容易在弹性高、竞争激烈的市场环境中形成;与事实标准建立以后相比,在事前组建的专利联盟形成可能性更大;通过多方途径保护和提高加入联盟的专利权人的利润,同时抑制阻碍联盟的专利权人的利润,是促进联盟形成的关键;与专业R&D企业相比,纵向一体化企业有更强的动机加入联盟。健全和完善相关法规及配套服务对联盟形成也是有益的。     

Improved Approximation for Breakpoint Graph Decomposition and Sorting by Reversals

Sorting by Reversals (SBR) is one of the most widely studied models of genome rearrangements in computational molecular biology. At present, is the best known approximation ratio achievable in polynomial time for SBR. A very closely related problem, called Breakpoint Graph Decomposition (BGD), calls for a largest collection of edge disjoint cycles in a suitably-defined graph. It has been shown that for almost all instances SBR is equivalent to BGD, in the sense that any solution of the latter corresponds to a solution of the former having the same value. In this paper, we show how to improve the approximation ratio achievable in polynomial time for BGD, from the previously known to for any > 0. Combined with the results in (Caprara, Journal of Combinatorial Optimization, vol. 3, pp. 149–182, 1999b), this yields the same approximation guarantee for n! – O((n – 5)!) out of the n! instances of SBR on permutations with n elements. Our result uses the best known approximation algorithms for Stable Set on graphs with maximum degree 4 as well as for Set Packing where the maximum size of a set is 6. Any improvement in the ratio achieved by these approximation algorithms will yield an automatic improvement of our result.     

On rates of convergence to infinitely divisible laws for dependent random variables

Large O and small o approximations of the expected value of a class of functions (modified K-functional and Lipschitz class) of the normalized partial sums of dependent random variables by the expectation of the corresponding functions of infinitely divisible random variables have been established. As a special case, we have obtained rates of convergence to the Stable Limit Laws and to the Weak Laws of Large Numbers. The technique used is the conditional version of the operator method of Trotter and the Taylor expansion.     

二次型与(半)稳定矩阵的判定

对二次型与（半）稳定矩阵之间的相互关系进行了讨论，得到了二者之间的相互判定方法，且利用二次型的不同配方法得到判定（半）稳定矩阵的一些条件     

On Robust Analysis of a Normal Location Parameter

Pericchi and Smith considered a normal location parameter problem with double-exponential and Student t prior distributions. These two prior distributions both belong to the class of scale mixtures of normal distributions and are useful in providing a robust analysis of the normal location parameter problem. In this paper we extend the analysis to other scale mixtures of normal distributions, such as the exponential power and the symmetric stable distributions.     

利用稳定分布构建开放式基金业绩评价体系

经典的基金业绩评价方法是在收益率服从正态分布假设下构建风险指标，该指标或者高估风险，或者低估风险。可引入稳定分布来描述收益率，并利用稳定分布，构建风险调整的基金业绩评价体系，并利用该体系对我国开放式基金的业绩进行评价。     

政策引导下企业跨区域迁移的演化博弈分析

采用演化博弈模型研究政策引导下的企业跨区域迁移行为,分析承接地政府和迁移企业的演化稳定策略(ESS).模型结果表明,迁移后获得持续增加的盈利空间、企业迁移成本、承接地政府的优惠政策以及迁出地和承接地环境规制力度的差别是影响企业迁移的重要因素;在不同的情境模式下,影响不同类型企业跨区域迁移行为的关键因素存在明显差异.在演化博弈分析的基础上,进而提出促进沿海企业向我国中西部地区有序迁移的政策建议.