生产率差异与企业对外直接投资进入模式选择

基于企业异质性视角,借鉴演化博弈理论探究企业通过OFDI“走出去”时的跨国并购方和标的方在全要素生产率上的差异对企业OFDI进入策略选择的影响机制。利用Hotelling模型构造资本密集型企业与劳动密集型企业OFDI进入策略选择博弈模型,讨论两类企业OFDI进入方式决策在并购双方生产率差异变化之下的变迁机理。研究发现:当并购方和被并购方生产率差异较小时,市场达到两类企业都倾向于跨国并购策略的演化稳定状态;当并购双方生产率差异较大时,企业的生产要素密集度及其结构对其OFDI进入模式决策具有重要的作用,知识或技术密集度较高的资本密集型企业与综合实力强势的部分劳动密集型企业采取跨国并购战略,而另一部分劳动密集型企业选择绿地新建方式进入国际市场。即企业OFDI进入策略选择因其所属的行业生产要素密集度及其结构不同而具有差异性。研究结论在一定程度上弥补了现有研究的不足,为以后的研究工作提供一定的理论参考。     

Operator trigonometry of Hotelling correlation, Frobenius condition, Penrose twistor

Three new applications of the author’s operator trigonometry are presented. These take place in three diverse mathematical domains: matrix statistics, numerical analysis, and theoretical physics. The goal is to continue to develop and expand the scope of the operator trigonometry.     

Asymptotic distribution of rank statistics under dependencies with multivariate application

By modifying the method of projection, the results of Hajek and Huskova are extended to show the asymptotic normality of signed and linear rank statistics under general alternatives for dependent random variables that can be expressed as independent vectors of fixed equal length. The score function is twice differentiable; the regression constants are arbitrary; and the distribution functions are continuous, but arbitrary. As an application, a rank transform statistic is proposed for the one-sample multivariate location model. The ranks of the absolute values of the observations are calculated without regard to component membership, and the scored ranks are substituted in place of the observed values. The limiting distribution of the proposed test statistic is shown to be χ² divided by the degrees of freedom under the null hypothesis, and noncentral χ² divided by the degrees of freedom under the sequence of Pitman alternatives.     

产品多方面差异下双寡头定位定价模型

建立在同类产品存在多方面差异条件下双寡头企业两阶段动态定位定价博弈模型,在市场中存在不同类型消费者时,求出了使企业利润最大化的子博弈精炼纳什均衡,并深入分析了消费者对两家企业平均偏好效用差(ΔU)和企业的运输成本率(t)对企业定位定价策略的影响.     

应用Hotelling T~2检验评价学生学习成绩的探讨

本文简述了ＨｏｔｅｌｌｉｎｇＴ２检验法，并应用该法对某校学生的学习成绩进行了分析评价，发现其效果较为满意。认为对多变量资料进行分析评价需用ＨｏｔｅｌｌｉｎｇＴ２检验。     

Price competition in the Hotelling model with uncertainty on costs

For the linear Hotelling model with firms located at the boundaries of the segment line, we study the price competition in a scenario of incomplete information in the production costs of both firms. We introduce the bounded uncertain costs (BUC) condition in the production costs and we prove that there is a local optimum price strategy if and only if the BUC condition holds. We compute explicitly the local optimum price strategy and we prove that it does not depend upon the distributions of the production costs of the firms, except on their first moments. We prove that the ex-post profit of a firm is smaller than its ex-ante profit if and only if the production cost of the other firm is greater than its expected cost.     

基于网络外部性的港口FDI企业与内资港口企业博弈策略研究

将港口服务产品的网络外部性和服务质量水平引入到发货人的效用函数中,通过Hotelling价格竞争模型分析港口FDI企业与内资港口企业的博弈策略行为,分别研究在Nash和Stackelberg博弈条件下,港口服务价格、收益与网络外部性系数、服务质量水平之间的关系.理论研究的结论表明:港口FDI企业与内资港口企业在Stackelberg条件下的最优定价、均衡收益均大于Nash条件下的最优定价、均衡收益;企业最优定价随网络外部性强度线性递减,随服务水平线性递增;企业均衡收益受服务水平和网络外部性强度的影响,呈现出一定的区间变化规律,处于相同港口外部市场环境下,内资港口企业与港口FDI企业的服务策略选择和侧重点不相同.     

RAPTT: An Exact Two-Sample Test in High Dimensions Using Random Projections

In high dimensions, the classical Hotelling’s T² test tends to have low power or becomes undefined due to singularity of the sample covariance matrix. In this article, this problem is overcome by projecting the data matrix onto lower dimensional subspaces through multiplication by random matrices. We propose RAPTT (RAndom Projection T²-Test), an exact test for equality of means of two normal populations based on projected lower dimensional data. RAPTT does not require any constraints on the dimension of the data or the sample size. A simulation study indicates that in high dimensions the power of this test is often greater than that of competing tests. The advantages of RAPTT are illustrated on a high-dimensional gene expression dataset involving the discrimination of tumor and normal colon tissues.     

心理帐户视角下基于电子优惠券的零售商渠道整合策略——以“优衣库”为例

当前, 零售商的渠道策略从以往各自为政的经营模式转向于关注渠道整合程度。越来越多的零售商开始通过为搜索产品中的线上消费者提供电子优惠券, 以此吸引其转移到线下渠道购买产品。本文基于对“优衣库”渠道整合案例的梳理, 引入心理账户收入幻觉, 建立了不同渠道策略下两个零售商之间的Hotelling模型。研究发现电子优惠券能够实现消费者从线上向线下渠道的转移, 零售商在一定条件下能够借此扩大市场规模并获利。此外, 优惠券策略受消费者到店产生的额外购买给零售商带来的收益的影响。同时, 消费者心理账户形成的收入幻觉、消费者对线上渠道的偏好异质性也影响优惠券策略。     

A Hotelling transformation approach for rapid inversion of atmospheric spectra

Atmospheric observations from space often result in spectral data of large dimensions. To allow an optimal inversion of the observed spectra it can be necessary to map the data into a space of smaller dimension. Here several data reduction techniques based on eigenvector expansions of the spectral space are compared. The comparison is done by inverting simulated observations from a microwave limb sounder, the Odin-SMR. For the examples tested, reductions exceeding two orders of magnitude with no negative influence on the retrieval performance are demonstrated. The techniques compared include a novel method developed especially for atmospheric inversions, based on the weighting functions of the variables to be retrieved. The new method shows an excellent performance in practical tests and is both computationally more effective and more flexible than the standard Hotelling transformation.