Recurrence relations for single and product moments of generalized order statistics from Marshall–Olkin extended Pareto distributions

Marshall and Olkin (1997 Marshall, A.W., Olkin, I. (1997). A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika 84(3):641–652.[Crossref], [Web of Science ®] , [Google Scholar]) introduced a new method of adding parameter to expand a family of distributions. Using this concept, in this article, the Marshall–Olkin extended Pareto distribution is introduced and some recurrence relations for single and product moments of generalized order statistics are studied. Also the results are deduced for record values and order statistics.     

Bayesian inference and prediction of the Pareto distribution based on ordered ranked set sampling

In this paper, order statistics from independent and non identically distributed random variables is used to obtain ordered ranked set sampling (ORSS). Bayesian inference of unknown parameters under a squared error loss function of the Pareto distribution is determined. We compute the minimum posterior expected loss (the posterior risk) of the derived estimates and compare them with those based on the corresponding simple random sample (SRS) to assess the efficiency of the obtained estimates. Two-sample Bayesian prediction for future observations is introduced by using SRS and ORSS for one- and m-cycle. A simulation study and real data are applied to show the proposed results.     

政府干预技术标准化过程的原因分析

利用经济学中关于政府干预经济活动的基本原理,提出在利用技术标准化提高本国的消费者福利、促进产业发展以及提高本国企业的国际竞争力等方面,政府应该而且能够发挥积极的作用。     

基于DEA的福建省科技企业投入产出效率及生产力变动评价

本文利用数据包络分析法对福建省的漳州、泉州、莆田、福州和厦门5个城市的民营与港澳台及外商投资科技企业2006年的科技投入产出效率进行评价,并对其在2004～2006年间生产力的动态变化进行测度和分析,提出了科技企业提高投入产出效率及提升生产力的对策建议。     

对生产帕累托最优条件充分性的质疑与改进

现有的理论中,生产帕累托最优条件不充分,其最优状态不是唯一的,使得理论自身及随后的应用上产生了一些矛盾。确定唯一最优状态的充分条件应该是：双方都满意的交换利益分割和边际技术替代率相等。前者保证交换实现,后者保证交换产生的利益被完全穷尽。只要遵循新交换原则,交换必能实现,但不一定是帕累托最优。信息不充分时,如果信息不对称者对对方所判断的生产函数改变了其真实生产函数的技术性质,交换虽能实现,但生产并没有达到帕累托最优。     

考虑货币测度社会福利函数的社会福利最大化与资源消耗最小化问题研究

本文通过引入货币测度的社会福利函数,在文[1]的基础上建立了增加效率约束条件的社会福利最大化的优化模型和资源消耗最小化的优化模型,然后讨论了两者之间的关系,最后给出了消费税率及政府对不同收入消费者实行的个人所得税率与补贴率,并指出了福利最大化点与帕累托效率之间的关系。     

Comparing several exponential populations with more than one control

Suppose there are k ₁ (k ₁ ≥ 1) test treatments that we wish to compare with k ₂ (k ₂ ≥ 1) control treatments. Assume that the observations from the ith test treatment and the jth control treatment follow a two-parameter exponential distribution and , where θ is a common scale parameter and and are the location parameters of the ith test and the jth control treatment, respectively, i = 1, . . . ,k ₁; j = 1, . . . ,k ₂. In this paper, simultaneous one-sided and two-sided confidence intervals are proposed for all k ₁ k ₂ differences between the test treatment location and control treatment location parameters, namely , and the required critical points are provided. Discussions of multiple comparisons of all test treatments with the best control treatment and an optimal sample size allocation are given. Finally, it is shown that the critical points obtained can be used to construct simultaneous confidence intervals for Pareto distribution location parameters.     

长三角城市群规模分布的Pareto检验

采用1995～2010年长江三角洲地区(以下简称长三角)城市群的非农业人口数据,运用Pareto定律估计方法,对长三角城市规模分布的现状及动态演化进行实证分析.研究结果表明,长三角城市规模分布基本满足“位序—规模”规律;在1995年至2000年间,各等级城市规模向平均规模发展,城市体系发育健全,城市规模分布均衡度不断增强;2000年至2010年,大城市规模迅速扩张,中小型城市发展缓慢,相对规模缩小,城市规模空间分布不均衡.     

Optimal designs for the power logistic model

We investigate non-sequential designs for estimating model parameters in a power logistic model when the power is assumed to be approximately known and only the ranges for the other two parameters are available. The sensitivity of these designs to nominal values of all the three parameters are studied and our proposed optimal designs are shown to be reasonably robust under moderate deviation from the assumed model. An application to a toxicity experiment involving adult beetles is discussed, including the benefits of using an optimal design.     

Bayesian estimation and prediction based on generalized Type-II hybrid censored sample

ABSTRACT

In this paper, we consider a general form for the underlying distribution and a general conjugate prior, and develop a general procedure for deriving the maximum likelihood and Bayesian estimators based on an observed generalized Type-II hybrid censored sample. The problems of predicting the future order statistics from the same sample and that from a future sample are also discussed from a Bayesian viewpoint. For the illustration of the developed results, the exponential and Pareto distributions are used as examples. Finally, two numerical examples are presented for illustrating all the inferential procedures developed here.