Approximation of the Bivariate Renewal Function

Recently, Kambo and his co-researchers (2012) proposed a method of approximation for evaluating the one-dimensional renewal function based on the first three moments. Their method is simple and elegant, which gives exact values for well-known distributions. In this article, we propose an analogous method for the evaluation of bivariate renewal function based on the first two moments of the variables and their joint moment. The proposed method yields exact results for certain widely used bivariate distributions like bivariate exponential distribution, bivariate Weibull distributions, and bivariate Pareto distributions. An illustrative example in the form of a two-dimensional warranty problem is considered and comparisons of our method are made with the results of other models.     

LENGTH-BIASING, CHARACTERIZATIONS OF LAWS AND THE MOMENT PROBLEM

A positive random variable X with a finite mean has an induced length-biased law represented by Y, and Y is stochastically larger than X. An independent uniform random contraction of Y, UY, has the same law as X if and only if the latter is exponential. This property is extended to non-uniform contractions and a more general notion of length-biasing. The distributional equality of X and W leads to a functional equation for the moment function of X, which has either Infinitely many solutions or none. When U is constant, X can have a log-normal law, but it can also have laws with the same moment sequence as this log-nod law. The case where U has a certain beta, or generalized beta, law give t3 characterizations of generalized gamma laws, or to products of independent copies of them. This occurs even when these laws are not determined by their moment sequences.     

美国对外贸易政策的历史考察

自北美独立战争结束以来,美国的对外贸易政策大致经历了五个阶段.其中保护主义始终贯穿于美国的对外贸易政策之中.虽然自由贸易有时偶占上风,但这种所谓的自由贸易是有条件的、相对的,是美国打着"互惠、公平、非歧视"的幌子,欲抢占别国市场.为了实现大资产阶级利益的最大化,美国总是将贸易保护政策奉为圭臬,这一政策才是无条件的、绝对的.     

自由心证的解构与建构

自由心证制度是对法定证据制度的否定,相对于法定证据制度而言,它能够充分调动裁判者司法认识的主动性和增加司法认识过程的能动性,有利于案件事实的发现与司法正义的实现,本文从我国借鉴自由心证制度的概念及其原理开始论述,尝试对自由心证进行全新的建构。     

Uncertain Numbers and Uncertainty in the Selection of Input Distributions—Consequences for a Probabilistic Risk Assessment of Contaminated Land

Risks from exposure to contaminated land are often assessed with the aid of mathematical models. The current probabilistic approach is a considerable improvement on previous deterministic risk assessment practices, in that it attempts to characterize uncertainty and variability. However, some inputs continue to be assigned as precise numbers, while others are characterized as precise probability distributions. Such precision is hard to justify, and we show in this article how rounding errors and distribution assumptions can affect an exposure assessment. The outcome of traditional deterministic point estimates and Monte Carlo simulations were compared to probability bounds analyses. Assigning all scalars as imprecise numbers (intervals prescribed by significant digits) added uncertainty to the deterministic point estimate of about one order of magnitude. Similarly, representing probability distributions as probability boxes added several orders of magnitude to the uncertainty of the probabilistic estimate. This indicates that the size of the uncertainty in such assessments is actually much greater than currently reported. The article suggests that full disclosure of the uncertainty may facilitate decision making in opening up a negotiation window. In the risk analysis process, it is also an ethical obligation to clarify the boundary between the scientific and social domains.     

基于制造商网络渠道选择的双渠道供应链定价 与服务决策研究

本文考虑由线下零售商实体销售与制造商网络销售构成的网络直销,以及由线下零售商实体销售与线上零售商网络销售构成的网络分销两种制造商双渠道模式,研究“搭便车”行为下制造商模式选择和供应链最优定价与服务决策。研究发现:制造商的渠道选择策略与“搭便车”行为程度、消费者偏好网络渠道程度、价格敏感系数等有关。尤其当消费者受到的服务且对价格的敏感性相同时,制造商会选择网络直销双渠道模式。进一步分析消费者“搭便车”行为和网络渠道偏好对制造商渠道选择和定价决策影响发现,制造商在消费者偏好网络渠道程度比较低时应选择网络分销双渠道模式,而当消费者网络渠道偏好和“搭便车”行为程度都比较高时,制造商应选择网络直销双渠道模式。消费者网络渠道偏好或“搭便车”行为程度越大,两种模式下批发价格应设置的更低。网络直销渠道模式下“搭便车”行为程度越大,网络渠道销售价格应设置的更低,而消费者网络渠道偏好程度越大,网络渠道销售价格应设置得更高。     

恩格斯对“自由人联合体”思想形成的独特贡献

“自由人联合体”思想是《共产党宣言》中的重要思想。恩格斯对这一思想的形成有着独特性的贡献。依据经典文本,恩格斯的独特性贡献主要体现在如下四方面:从社会秩序出发揭示资产阶级社会的无序性事实,阐明构建“自由人联合体”之必要性;从利益出发论证共产主义社会所应遵循的共同利益原则,阐明“自由人联合体”之优越性;从人性与自由关系出发阐述资产阶级社会中人性丧失的状况,阐明“自由人联合体”之价值性;从社会实践出发提出消灭资本主义私有制、推翻资产阶级统治、实现共产主义的革命道路,阐明“自由人联合体”之革命性。     

我国上市公司盈余管理行为的实证分析

我国证券市场存在较为严重的盈余管理现象.针对该现象,本文从盈余管理动机出发,分析我国上市公司盈余管理的行为特征.本文采用管理后盈余分布法,研究了我国上市公司2001年至2003年净资产收益率(ROE)的分布特征,发现我国上市公司仍然存在很强的盈余管理动机,而且我国上市公司盈余管理的行为受到政府监管的影响.最后,本文在实证研究的基础上提出了治理盈余管理的几点建议.     

Bayesian Estimation and Model Choice in Item Response Models

Item response models are essential tools for analyzing results from many educational and psychological tests. Such models are used to quantify the probability of correct response as a function of unobserved examinee ability and other parameters explaining the difficulty and the discriminatory power of the questions in the test. Some of these models also incorporate a threshold parameter for the probability of the correct response to account for the effect of guessing the correct answer in multiple choice type tests. In this article we consider fitting of such models using the Gibbs sampler. A data augmentation method to analyze a normal-ogive model incorporating a threshold guessing parameter is introduced and compared with a Metropolis-Hastings sampling method. The proposed method is an order of magnitude more efficient than the existing method. Another objective of this paper is to develop Bayesian model choice techniques for model discrimination. A predictive approach based on a variant of the Bayes factor is used and compared with another decision theoretic method which minimizes an expected loss function on the predictive space. A classical model choice technique based on a modified likelihood ratio test statistic is shown as one component of the second criterion. As a consequence the Bayesian methods proposed in this paper are contrasted with the classical approach based on the likelihood ratio test. Several examples are given to illustrate the methods.     

An upper bound for the distribution function of a positive definite quadratic form

In this paper the researchers are presenting an upper bound for the distribution function of quadratic forms in normal vector with mean zero and positive definite covariance matrix. They also will show that the new upper bound is more precise than the one introduced by Okamoto [4] and the one introduced by Siddiqui [5]. Theoretical Error bounds for both, the new and Okamoto upper bounds are derived in this paper. For larger number of terms in any given positive definite quadratic form, a rough and easier upper bound is suggested.