On a class exhibiting trend change in average failure rate

Abstract

Weak convergence and moment convergence issues are investigated for the New Better than Average Failure Rate (NBAFR) family (introduced by Loh (1984 Loh, W. Y. 1984. A new generalization of the class of NBU distributions. IEEE Transactions on Reliability R-33 :97–113[Crossref], [Web of Science ®] , [Google Scholar])). We explore the validity of these results in the context of a more general ageing class that we introduce. We prove some new properties of this class and derive its interrelationships with other non-monotonic ageing families. Reliability and moment bounds are obtained and an interesting characterization of exponentiality is proved. Special cases of our results lead to new theorems for the NBAFR class. Finally weak convergence and related issues are established for this class.     

论党的十七大的重大理论贡献

党的十七大的理论贡献在于，首次提出“中国特色社会主义理论体系”这一新概念，有力地回答了在改革开放关键时期“举什么旗，走什么路”的根本问题；明确界定了科学发展观的内涵和全面建设小康社会的新要求，提出了生态文明理念，有力地回答了在21世纪头20年“怎么举好旗，怎么走好路”的基本问题；突出强调推动中国特色社会主义民主政治制度和以民生为重点的社会建设，有力地回答了“如何发展社会主义政治制度，如何保障和改善民生”两大难题。     

在中国特色社会主义新起点上推进新的思想解放

解放思想，是党的思想路线的本质要求，是我们应对前进道路上各种新情况新问题、不断开创事业新局面的一大法宝，是中国特色社会主义的思想精髓。要把中国特色社会主义事业不断推向前进，必须在新起点上推进新的思想解放。     

Estimation of noncentrality parameters

We propose some estimators of noncentrality parameters which improve upon usual unbiased estimators under quadratic loss. The distributions we consider are the noncentral chi-square and the noncentral F. However, we give more general results for the family of elliptically contoured distributions and propose a robust dominating estimator.     

建设有中国特色的社会主义理论与毛泽东思想的关系

建设有中国特色的社会主义理论是对毛泽东思想的坚持和发展，既要看到它们的联系，又要看到邓小平的独特理论创造．建设有中国特色的祉会主义理论是当代中国的马克思主义。     

Contre-exemple au théorème de P.C. Consul sur la factorisation des distributions de Poisson généralisées

This note exhibits two independent random variables on integers, X₁ and X₂, such that neither X₁ nor X₂ has a generalized Poisson distribution, but X₁ + X₂ has. This contradicts statements made by Professor Consul in his recent book.     

近代河南集市研究再思考

近代集市的发展不仅表现为数量方面的增加,也有集市数量不变而集市承载量增加的情况;考察集市分布密度以耕地面积为基础更有可比性,而且开市率的高低主要是人们传统习惯、人口规模、集市密度、商品化程度、经济发展状况等因素综合作用的结果,其中传统习惯对开市率的影响较大。     

抗震救灾伟大斗争彰显中国人民伟大力量

中国人民与四川汶川地震自然灾害进行的伟大斗争，向全世界展示了中国共产党的坚强领导能力、中国特色社会主义伟大旗帜的巨大号召力、人民军队的强大战斗力、社会主义中国的厚实综合国力以及中华民族精神的蓬勃生机与活力。     

Loss functions for estimation of extrema with an application to disease mapping

It is often of interest to find the maximum or near maxima among a set of vector‐valued parameters in a statistical model; in the case of disease mapping, for example, these correspond to relative‐risk “hotspots” where public‐health intervention may be needed. The general problem is one of estimating nonlinear functions of the ensemble of relative risks, but biased estimates result if posterior means are simply substituted into these nonlinear functions. The authors obtain better estimates of extrema from a new, weighted ranks squared error loss function. The derivation of these Bayes estimators assumes a hidden‐Markov random‐field model for relative risks, and their behaviour is illustrated with real and simulated data.