Conditional Quantile Estimation for Truncated and Associated Data

Abstract

In survival or reliability studies, it is common to have data which are not only incomplete but weakly dependent too. Random truncation and censoring are two common forms of such data when they are neither independent nor strongly mixing but rather associated. The focus of this paper is on estimating conditional distribution and conditional quantile functions for randomly left truncated data satisfying association condition. We aim at deriving strong uniform consistency rates and asymptotic normality for the estimators and thereby, extend to association case some results stated under iid and α-mixing hypotheses. The performance of the quantile function estimator is evaluated on simulated data sets.     

On accelerating sequential procedures for estimating exponential populations

In this study, we accelerate the purely sequential procedure due to Anscombe(1953), Chow and Robbins(1965) to reduce the number of sampling operations required to carry out the estimation process. The method is proposed while estimating the location parameter(s) of the exponential distribution(s). We also develop theory for the asymptotic characteristic of the associated stopping variables. Our findings are applicable to both point as well as confidence interval estimation problems. Other interesting results are also given.     

关于两部定价的理论研究

通过存在两类消费者情况下的两部定价模型推导出了最优两部定价公式。表明最优边际价格由各类消费者的偏好差异程度及边际生产成本决定，而固定费用主要取决于对商品具有较低效用评价的消费者的需求，并推导了固定费与需求弹性的关系以及最优边际价格的范围。     

基于服务质量保证策略的定价、补偿和缺陷承诺

分析了基于服务质量保证策略的定价、补偿和缺陷承诺问题。运用比较静态分析分别求解服务商基于自身利润最大化的最优服务价格、最优单位质量缺陷补偿成本和最优质量缺陷承诺。通过数值分析,验证了所提出的服务商最优决策的有效性。     

Characterizations based on regression assumptions of order statistics

Let X₍₁₎≤X₍₂₎≤···≤X_(n) be the order statistics from independent and identically distributed random variables {X_i, 1≤i≤n} with a common absolutely continuous distribution function. In this work, first a new characterization of distributions based on order statistics is presented. Next, we review some conditional expectation properties of order statistics, which can be used to establish some equivalent forms for conditional expectations for sum of random variables based on order statistics. Using these equivalent forms, some known results can be extended immediately.     

三网融合背景的信息平台建设

各种类型的信息平台将成为三网融合产业竞争中的制高点。信息平台的定价策略包括免费策略、倾斜定价策略、价格歧视策略、搭售捆绑策略、多层次的增值策略。信息平台的盈利模式主要有三种,分别是直接交叉补贴、间接交叉补贴、共创价值的收益分成。信息平台的各种定价策略、盈利模式都受到平台价值规律的支配,平台价值逻辑始终围绕共享价值与增值系统并行运作、开放与封闭的双轨运行两个问题展开。     

Insider Trading With a Random Deadline

We consider a model of strategic trading with asymmetric information of an asset whose value follows a Brownian motion. An insider continuously observes a signal that tracks the evolution of the asset's fundamental value. The value of the asset is publicly revealed at a random time. The equilibrium has two regimes separated by an endogenously determined time T. In [0, T), the insider gradually transfers her information to the market. By time T, all her information has been transferred and the price agrees with the market value of the asset. In the interval [T, ∞), the insider trades large volumes and reveals her information immediately, so market prices track the market value perfectly. Despite this market efficiency, the insider is able to collect strictly positive rents after T.     

应计质量的风险定价研究——来自中国A股市场的证据

以2002年～2008年575家A股上市公司为样本,分别运用固定效应和时间序列OLS回归方法,从股价(年报后)和股票回报率两个角度考察A股上市公司应计盈余质量是否会影响投资者对股票的定价。通过将每股盈余分离成每股可控盈余、非可控盈余和经营现金流后发现,年报之后的股票价格与可控盈余之间呈高度正相关。研究结果表明,投资者不能有效识别上市公司财务报表的真实性,盈余管理在一定程度上影响了投资者对股票的客观定价。进一步,通过构建盈余质量的替代变量AQfactor,将其纳入CAPM模型和三因子模型中进行资产定价检验。结果显示,AQfactor虽然与股票回报率正相关,但并不具有统计意义上的显著性,即在中国A股市场上,没有证据表明应计盈余质量可以作为一个信息风险定价因子来解释股票回报;在相对较长而稳定的期间里,超常的报告盈余引起的应计盈余波动并不能给投资者带来稳定回报率。     

销售价格影响需求的易变质产品动态定价模型

在需求率线性依赖于销售价格的情形下,研究有限销售周期内一次订购模式下单一易变质产品在连续时间上的最优动态定价决策问题.针对给定初始库存水平和初始库存水平待定两种情形,利用最优控制理论分别建立了易变质产品的动态定价模型,目标是最大化产品销售周期内总的销售利润.通过分析,可将问题分别转化为有控制变量约束的拉格郎日问题和波尔扎问题.利用Pontryagin极大值原理求解上述两类问题,均得到系统最优定价决策.对上述第一类问题分别进行了数值仿真,仿真结果表明:不同参数取值情形下,产品最优动态定价决策会在三种情形中变动.