Comparison of estimators of the location parameter using pitman's closeness criterion

Necessary and sufficient conditions for a linear estimator to dominate another linear estimator of a location parameter under the Pitman's criterion of comparison are discussed. Consequently it is demonstrated that a linear biased estimator can not dominate a linear unbiased estimator under Pitman's criterion and that the sample mean is the Closest Linear Unbiased Estimator (CLUE). It is also shown that the ridge regression estimator with a known biasing constant can not dominate the ordinary least squares estimator. If an estimator δdominates an estimator δin the average loss sense then sufficient conditions are obtained under which δis also preferred over δunder Pitman's criterion. Further we obtain sufficient conditions under which preference under the Pitman's criterion will lead to preference under the mean squared error sense.     

On cumulative entropies

In analogy with the cumulative residual entropy recently proposed by Wang et al. [2003a. A new and robust information theoretic measure and its application to image alignment. In: Information Processing in Medical Imaging. Lecture Notes in Computer Science, vol. 2732, Springer, Heidelberg, pp. 388–400; 2003b. Cumulative residual entropy, a new measure of information and its application to image alignment. In: Proceedings on the Ninth IEEE International Conference on Computer Vision (ICCV’03), vol. 1, IEEE Computer Society Press, Silver Spring, MD, pp. 548–553], we introduce and study the cumulative entropy, which is a new measure of information alternative to the classical differential entropy. We show that the cumulative entropy of a random lifetime X can be expressed as the expectation of its mean inactivity time evaluated at X. Hence, our measure is particularly suitable to describe the information in problems related to ageing properties of reliability theory based on the past and on the inactivity times. Our results include various bounds to the cumulative entropy, its connection to the proportional reversed hazards model, and the study of its dynamic version that is shown to be increasing if the mean inactivity time is increasing. The empirical cumulative entropy is finally proposed to estimate the new information measure.     

女性人口文化程度对其婚育状况的影响探析

本文以1995年全国1％人口抽样调查资料为基础，对女性人口文化程度与其早婚状况、平均初婚年龄．以及女性初婚年龄与其平均活产子女数间的相关关系进行了深入的定量分析．     

关于Directly-Riemann积分的中值定理

本文在研究Directly－Riemann积分~[1，2]的基础上，得到了Directly—Riemann积分的中值定理。     

论中庸的伦理意蕴

孔子第一个明确提出“中庸”概念,并把“中庸”看作为“至德”。中庸,就是恪守中正之道、不偏不倚、无过无不及与中和之意。“中和”,是中庸的精髓。从伦理学层面看,中庸,在人与人、人与自然关系方面,追求“和而不同”的中和境界;在道德行为上,坚持“过犹不及”的理性精神;在道德选择上,发挥“随时而中”的权变智慧;在道德规范上,坚持“兼德而至”的辨证思维原则。     

Fundamental references from the Western culture

This article presents theoretical elements concerning the ‘nature versus culture’ confrontation as a particular aspect of the worldwide expansion of Western civilization. Several speculations are made concerning the philosophical foundations which have provided the base for the current political and economic mega-scenarios in the contemporary world. We turn our attention to the articulations of the concept of nature with the processes of mondialization of Western culture and with the history of universal culture. Finally, several considerations are made on the dynamics of economic processes on a world scale and projections on the impact of science and technology in the social and political frames that are taking place in the contemporary world.     

The Impact of Social Capital on Men's Mental Health from the Perspective of Social Support Theory

This study examines the effects of social capital as it affects men's mental health in the context of work–family balance. Multivariate analyses of data from National Family Research of Japan 2008 have revealed the following. First, the social capital that men receive from their spouses was found to have a direct effect on their distress. The effect of social capital from family other than a spouse does not have a direct effect on men's mental health. Second, only social capital from a spouse was observed to provide a buffering effect. This result implies that, in contemporary Japan, social capital derived from the spouse functions satisfactorily as a bulwark to mitigate the negative effects that the experience of role conflict between work and family has on men's mental health. Finally, the study examines the effect of social capital with reference to social support theory. Subsequent research might usefully focus on varieties of social capital other than those covered in the current study, which will leverage the unique potential of social capital by examining techniques and units of analysis.     

Transformational leadership and optimal functioning at work: On the mediating role of employees' perceived job characteristics and motivation

This study aimed to deepen our understanding of the motivational mechanisms involved in the relationship between transformational leadership (TFL) and employee functioning. Drawing on the TFL literature, the job demands–resources model and self-determination theory, we propose an integrative model that relates TFL to employee psychological health (burnout and psychological distress), attitudes (occupational commitment and turnover intention) and performance (professional efficacy, self-reported individual and objective organizational performance) through two explanatory mechanisms: perceived job characteristics (job demands and resources) and employee motivation (autonomous and controlled). This research was conducted in two occupational settings (nurses and school principals), using a distinct variable operationalization for each. Results of both studies provide support for the hypothesized model, suggesting that TFL relates to optimal job functioning (psychological health, job attitudes and performance) by contributing to favourable perceptions of job characteristics (more resources and less demands) and high-quality work motivation (more autonomous motivation and less controlled motivation) in employees. Theoretical contributions and managerial implications as well as directions for future research are presented.     

A randomized Baumgartner statistic for multivariate two-sample testing hypothesis

In this paper, multivariate two-sample testing problems were examined based on the Jure?ková–Kalina's ranks of distances. The multivariate two-sample rank test based on the modified Baumgartner statistic for the two-sided alternative was proposed. The proposed statistic was a randomized statistic. Simulations were used to investigate the power of the suggested statistic for various population distributions.     

Bivariate log Birnbaum–Saunders distribution

Univariate Birnbaum–Saunders distribution has received a considerable amount of attention in recent years. Rieck and Nedelman (A log-linear model for the Birnbaum–Saunders distribution. Technometrics, 1991;33:51–60) introduced a log Birnbaum–Saunders distribution. The main aim of this paper is to introduce bivariate log Birnbaum–Saunders distribution. The proposed model is symmetric and it has five parameters. It can be obtained using Gaussian copula. Different properties can be obtained using copula structure. It is observed that the maximum likelihood estimators (MLEs) cannot be obtained explicitly. Two-dimensional profile likelihood approach may be adopted to compute the MLEs. We propose some alternative estimators also, which can be obtained quite conveniently. The analysis of one data set is performed for illustrative purposes. Finally, it is observed that this model can be used as a bivariate log-linear model, and its multivariate generalization is also quite straight forward.