Estimation of variance in bivariate normal distribution after the preliminary test of homogeneity

A preliminary test estimator of variance in the bivariate normal distribution is proposed after the Pitman–Morgan test of homogeneity of two variances. The bias and mean square error of the estimator are derived. The relative efficiency (RE) of the preliminary test estimator is studied. Computations and 3D graphs of RE for different parameters are analyzed. In order to get the maximum RE, recommendations of the significance level for the preliminary test are given for various sample sizes by using the max–min criterion.     

上海生活垃圾减量化机制问题研究

开展生活垃圾减量化机制研究,使更多的垃圾作为"二次资源"进入新的产品生产循环,从而减少最终排放到环境中的垃圾数量,确保上海的可持续发展。     

“双积分”政策下汽车制造商竞争定价与减排策略研究

"双积分"政策的实施对汽车制造商的定价决策产生了重要影响。考虑卖方由同时生产燃油车和新能源汽车的制造商1和仅生产新能源汽车的制造商2组成,在消费者低碳偏好和价格竞争影响下分别针对制造商1对燃油车采取和不采取节能减排措施的情况,研究"双积分"政策下汽车制造商的定价策略和减排决策,探讨新能源汽车积分值和积分比例要求对政府和企业决策的作用效果。进一步,通过对不同情形的结果进行分析,得到"双积分"政策的出台、消费者低碳偏好及制造商采取节能减排措施对制造商定价和减排决策带来的变化,并通过算例分析验证了结论。研究结果表明:(1)"双积分"政策可以降低新能源汽车的价格,提高新能源汽车制造商的利润,促进燃油车主动减排。(2)当新能源汽车的需求价格弹性系数和需求交叉价格弹性系数处于较高水平时,政府要制定较高的每台新能源汽车积分值。(3)燃油车的油耗水平存在一个环境属性标准,当油耗水平低于一定值时,随着新能源汽车积分比例要求的不断增大,制造商1选择提高燃油车价格。(4)消费者低碳偏好是提高燃油车减排水平的重要因素,政府可以对减排技术先进的燃油车制造商进行低油耗认证,提高消费者低油耗燃油车需求,激励燃油车制...     

Designs for estimating the difference between two responses

In this paper the problem of designing experiments for estimating the difference between responses at two arbitrary points in the region of interest is considered. Under the average mean squared error criterion the design moment conditions have been worked out. The results have been applied to the class of central composite designs.     

Accent on Teaching Materials

This department includes the two sections New Developments in Statistical Computing and Statistical Computing Software Reviews; suitable contents for each of these sections are described under the respective section heading. Articles submitted for the department, outside the two sections, should not be highly technical and should be relevant to the teaching or practice of statistical computing.

An unbiased estimator of e is used to motivate a simple simulation exercise that requires only observations from the distribution uniform on (0, 1). Antithetic variables are introduced and applied to the simulation problem to give a second unbiased estimator of e with reduced variance.     

A family of estimators of population variance in two-occasion rotation patterns

Abstract

In this article, we have considered the problem of estimation of population variance on current (second) occasion in two occasion successive (rotation) sampling. A class of estimators of population variance has been proposed and its asymptotic properties have been discussed. The proposed class of estimators is compared with the sample variance estimator when there is no matching from the previous occasion and the Singh et al. (2013) estimator. Optimum replacement policy is discussed. It has been shown that the suggested estimator is more efficient than the Singh et al. (2013) estimator and a usual unbiased estimator when there is no matching. An empirical study is carried out in support of the present study.     

丙烯精馏塔的建模及其先进控制方法研究

精馏过程是化工、石油、医药等领域常见的生产过程，由于其非线性、时变性和强耦合等特点，使建模、控制与优化成为理论与实践研究中的难点。本文以一个二元丙烯精馏塔为研究对象，在由物料及能量平衡原理推导出精馏过程数学模型的基础之上，采用基于集结法的动力学模型降阶处理方法对原模型进行降阶，最后为该精馏塔模型设计了基于PID神经网络的解耦控制器。     

Use of several auxiliary variables in estimating the population mean in a two-occasion rotation pattern

ABSTRACT

This paper addresses the problem of estimation of the population mean on the current (second) occasion in two-occasion successive sampling. Utilizing the readily available information on several auxiliary variables on both occasions and the information on the study variable from the previous occasion, an estimation procedure of the population mean on the current occasion has been proposed. Theoretical properties of the proposed estimator have been investigated. Optimum replacement policy to the proposed estimator has been discussed. The proposed estimator has been compared empirically with the sample mean estimator, when there is no matching and the optimum estimator which is a linear combination of the means of the matched and unmatched portions of the sample at the current occasion. Appropriate recommendations have been made for practical applications.     

Catastrophe Risk Models for Evaluating Disaster Risk Reduction Investments in Developing Countries

Major natural disasters in recent years have had high human and economic costs, and triggered record high postdisaster relief from governments and international donors. Given the current economic situation worldwide, selecting the most effective disaster risk reduction (DRR) measures is critical. This is especially the case for low‐ and middle‐income countries, which have suffered disproportionally more economic and human losses from disasters. This article discusses a methodology that makes use of advanced probabilistic catastrophe models to estimate benefits of DRR measures. We apply such newly developed models to generate estimates for hurricane risk on residential structures on the island of St. Lucia, and earthquake risk on residential structures in Istanbul, Turkey, as two illustrative case studies. The costs and economic benefits for selected risk reduction measures are estimated taking account of hazard, exposure, and vulnerability. We conclude by emphasizing the advantages and challenges of catastrophe model‐based cost‐benefit analyses for DRR in developing countries.     

THE SOCIAL GROUP WORK METHOD

No abstract available for this article.