Computing maximum likelihood estimates from type II doubly censored exponential data

It is well-known that, under Type II double censoring, the maximum likelihood (ML) estimators of the location and scale parameters, θ and δ, of a twoparameter exponential distribution are linear functions of the order statistics. In contrast, when θ is known, theML estimator of δ does not admit a closed form expression. It is shown, however, that theML estimator of the scale parameter exists and is unique. Moreover, it has good large-sample properties. In addition, sharp lower and upper bounds for this estimator are provided, which can serve as starting points for iterative interpolation methods such as regula falsi. Explicit expressions for the expected Fisher information and Cramér-Rao lower bound are also derived. In the Bayesian context, assuming an inverted gamma prior on δ, the uniqueness, boundedness and asymptotics of the highest posterior density estimator of δ can be deduced in a similar way. Finally, an illustrative example is included.     

人均耕地资源对农业集约经营的影响

从农业生产的历史发展趋势、定性和实证等 3个方面分析 ,认为人均耕地资源是影响农业集约经营的重要因素 ,人均耕地资源的减少在一定条件下将促进农业集约经营水平的提高。     

非统计专业统计学教育刍议

针对非统计专业统计学教育目前存在的问题,阐述了提高对统计学重要性的认识是保证统计教学效果的前提;统计学教学环节的改革是提高教学效果的重要保证;统计教师的业务素质是提高统计教学效果的关键。     

Divergence-based estimation and testing with misclassified data

The well-known chi-squared goodness-of-fit test for a multinomial distribution is generally biased when the observations are subject to misclassification. In Pardo and Zografos (2000) the problem was considered using a double sampling scheme and ø-divergence test statistics. A new problem appears if the null hypothesis is not simple because it is necessary to give estimators for the unknown parameters. In this paper the minimum ø-divergence estimators are considered and some of their properties are established. The proposed ø-divergence test statistics are obtained by calculating ø-divergences between probability density functions and by replacing parameters by their minimum ø-divergence estimators in the derived expressions. Asymptotic distributions of the new test statistics are also obtained. The testing procedure is illustrated with an example.     

MODEL-ASSISTED HIGHER-ORDER CALIBRATION OF ESTIMATORS OF VARIANCE

In survey sampling, interest often centres on inference for the population total using information about an auxiliary variable. The variance of the estimator used plays a key role in such inference. This study develops a new set of higher‐order constraints for the calibration of estimators of variance for various estimators of the population total. The proposed strategy requires an appropriate model for describing the relationship between the response and auxiliary variable, and the variance of the auxiliary variable. It is therefore referred to as a model‐assisted approach. Several new estimators of variance, including the higher‐order calibration estimators of the variance of the ratio and regression estimators suggested by Singh, Horn & Yu and Sitter & Wu are special cases of the proposed technique. The paper presents and discusses the results of an empirical study to compare the performance of the proposed estimators and existing counterparts.     

加入WTO中国企业统计面临的挑战与对策

中国加入WTO后,原有传统企业统计的外部环境、运营方式、统计核算的任务和功能、统计对象范围以及统计方法等必然要面临严峻的挑战。因此,要使企业健康和谐的发展,必须积极采取措施,制定应对策略:及时转变经营理念,建立健全信息管理系统,完善企业统计法制建设和管理体制,培养高素质的统计人才。     

论企业统计队伍的继续教育

加强企业统计人才队伍的继续教育,是企业统计改革与发展的关键。本文通过对企业统计人员的现状剖析,根据企业对统计人才的需求,提出了企业统计人才队伍继续教育的具体思路与方法。     

当代大学生媒介消费行为统计分析

当今世界信息传播革命正在兴起,信息技术的迅猛发展推动着大众传播媒介走向现代化。大众传播媒介的发展对大学生的影响尤为深刻。本文拟对当代大学生对大众传播媒介的使用状况作粗浅探索和分析,并试图研究互联网的使用与其它传播媒介的关系。     

马寅初的人口质量观及其现实意义——纪念马寅初诞辰120周年

注重人口质量是马寅初人口思想对马尔萨斯人口论的实质性超越.马寅初关于人口质量的观点主要体现于:人口质量与人口数量是对立的统一;在新时代,人不在乎多,而在乎精;人口质量的提高是德、智、体全面的提高和全民的提高;提高人口质量不能离开本国国情.在现代化进程中我们重温马寅初关于提高人口质量方面的有关观点和主张,有助于我们处理好提高人口质量与稳定低生育水平、保护资源环境、提高农民收入等方面的关系.