关于加权广义逆的三个矩阵乘积的不变性

利用矩阵D-AXC的最大最小秩,给出了矩阵AXC的乘积、秩以及值域的不变性,其中X为矩阵B的各种加权广义逆.     

Testing equality of conditionally jfclhwdqw exponential distributions

For the models given V = v (a common random stress), X and Y are independently exponentially distributed with failure rates λ₁and λ₂v, testing H₀λ₁λ₂using a random ‘paired’ sample is considered. It is shown that a uniformly most powerful invariant test does not exist even for one sided alternatives; locally most powerful invariant tests are derived and compared with existing procedures. The method is illustrated with reliability data. Finally, the robustness of the tests when the relationships of the failure rates to V is more complex are established.     

Maximum Likelihood Estimation for Multinomial‐Poisson Models: A Generalization of Birch's Numerical Invariance Results

Abstract. This study gives a generalization of Birch's log‐linear model numerical invariance result. The generalization is given in the form of a sufficient condition for numerical invariance that is simple to verify in practice and is applicable for a much broader class of models than log‐linear models. Unlike Birch's log‐linear result, the generalization herein does not rely on any relationship between sufficient statistics and maximum likelihood estimates. Indeed the generalization does not rely on the existence of a reduced set of sufficient statistics. Instead, the concept of homogeneity takes centre stage. Several examples illustrate the utility of non‐log‐linear models, the invariance (and non‐invariance) of fitted values, and the invariance (and non‐invariance) of certain approximating distributions.     

On sequential estimation of the mean of a multidimensional gaussian process

For a multidimensional continuous time GAUssian process whose mean vector depends linearly of a multidimensional parameter, we consider a sequential estimation niodel. A suitable estimator process is constructed, and its distributions are analyzed in order to prove that it is progressively sufficient, After the reduction by sufficiency, an invariant structure is introduced and the optimal invariant terminal decision function is obtained.     

The cross-country and cross-time measurement invariance of positive and negative affect scales: Evidence from European Social Survey

Survey-based measures of subjective well-being are increasingly often analyzed cross-culturally. However, international comparison of these measures requires measurement invariance. Therefore, the major goal of this study is to investigate the cross-country and cross-time comparability of the 4-item positive and 7-item negative affect scales used in European Social Survey Round 3 (2006) and Round 6 (2012). This study applies both the traditional exact and the more recent Bayesian approximate approach to assess whether the affect scales are measurement invariant. The approximate approach detected several non-invariant items that are problematic for cross-national comparison and should be dropped from the scales. Consequently, measurement invariance was established in all countries over the two rounds for the reduced scales, allowing researchers to meaningfully compare their latent mean scores and the relationships with other theoretical constructs of interest. Thus, the study highlights the advantages of using multiple indicators and the necessity of measurement invariance testing in subjective well-being research.     

The Planned Happenstance Career Inventory: A Cross‐Cultural Comparison

This study examined the measurement invariance and latent mean difference of an English version (J. H. Lee et al., 2017) of the Planned Happenstance Career Inventory (PHCI; B. Kim, Jung, et al., 2014) across cultures. Participants were 262 American and 291 South Korean undergraduates. Measurement invariance results indicated that the 5‐factor structure was adequate for both groups and that conditions for configural, metric, and partial intercept invariance were met. Latent mean analysis was used to compare the mean scores of the PHCI skills (curiosity, flexibility, persistence, optimism, and risk taking). The latent means of curiosity, flexibility, persistence, and optimism were higher among South Korean undergraduates, but no significant difference was found regarding risk taking. Career counselors should consider differences in planned happenstance perceptions across cultures to provide better career guidance. Future studies are needed to verify the distinctive nature of flexibility by replicating the factor structure of the PHCI with other samples.     

André Dabrowski's work on limit theorems and weak dependence

André Robert Dabrowski, Professor of Mathematics and Dean of the Faculty of Sciences at the University of Ottawa, died October 7, 2006, after a short battle with cancer. The author of the present paper, a long‐term friend and collaborator of André Dabrowski, gives a survey of André's work on weak dependence and limit theorems in probability theory. The Canadian Journal of Statistics 37: 307–326; 2009 © 2009 Statistical Society of Canada     

有关股权分置对价确定方法的讨论

股权分置改革是2005年中国最重要的经济事件之一.文章首先分析了股权分置改革的必要性,然后以首批股权分置改革试点方案为例,讨论了四个试点公司对价的确定,指出对价对流通股股东偏低;并用"价值恒定"法,建立相关模型,计算出目前市场平均情况下的股权分置对价--每10股流通股获赠4股.     

Comparison of Urban Housing Satisfaction in Modern and Traditional Neighborhoods in Edirne,Turkey

Numerous cross-cultural studies have focused on certain aspects of urban housing conditions and their social consequences. However, most data on housing satisfaction is restricted to Western countries. Relatively little comparison has been made between these findings and those in developing areas where rapid urbanization is occurring and where concomitant problems in urban housing are emerging. Moreover, since primary cities of developing countries in the initial stage of economic development have received extensive attention in urban housing research, it would be interesting to examine a non-primary city where relatively good standards of living have been achieved. Thus, this study investigates people’s housing satisfaction in modern and historical neighborhoods. This paper addresses some conceptual and measurement issues related to the study of housing satisfaction. We build a conceptual model, which links the multiple dimensions of housing satisfaction, measured by a modified version of Bardo and Dokmeci’s (1992, Genetic, Social and General Psychology Monographs 118(3)) housing satisfaction scale, in a causal sense. An empirical examination of the model in traditional and modern neighborhoods reveals that social and environmental living conditions positively influence overall housing satisfaction. The results also indicate that the drivers of the social and environmental living conditions constructs differ between traditional and modern neighborhoods.