Asymptotic relative efficiency of the linear discriminant function under partial nonrandom classification of the training data

This paper considers the problem where the linear discriminant rule is formed from training data that are only partially classified with respect to the two groups of origin. A further complication is that the data of unknown origin do not constitute an observed random sample from a mixture of the two under- lying groups. Under the assumption of a homoscedastic normal model, the overall error rate of the sample linear discriminant rule formed by maximum likelihood from the partially classified training data is derived up to and including terms of the first order in the case of univariate feature data. This first- order expansion of the sample rule so formed is used to define its asymptotic efficiency relative to the rule formed from a completely classified random training set and also to the rule formed from a completely unclassified random set.     

On an asymptotic relative efficiency concept based on expected volumes of confidence regions

ABSTRACT

The paper deals with an asymptotic relative efficiency concept for confidence regions of multidimensional parameters that is based on the expected volumes of the confidence regions. Under standard conditions the asymptotic relative efficiencies of confidence regions are seen to be certain powers of the ratio of the limits of the expected volumes. These limits are explicitly derived for confidence regions associated with certain plugin estimators, likelihood ratio tests and Wald tests. Under regularity conditions, the asymptotic relative efficiency of each of these procedures with respect to each one of its competitors is equal to 1. The results are applied to multivariate normal distributions and multinomial distributions in a fairly general setting.     

At the threshold of retirement: From all-absorbing relations to self-actualization

To investigate the complexities of the retirement process, the present article draws on a case study of Eva, a Swedish woman who “awakened” from all-absorbing relations. It considers the ways in which retirement can enable liberation from patriarchal kinship structures and embodied values of respectability. The aim is to illuminate how deep, embodied values can become conscious and explicit during precarious life situations and transitional phases. The relation between the Swedish welfare state, an I-we balance, and gender equity values are illuminated. These analytical dimensions support the analysis by providing insights into the ways in which individuals embody and use cultural and social structures when they aim to manage unpredictability and to create change toward self-actualization.     

Comparing diagnostic tests: test of hypothesis for likelihood ratios

Likelihood ratios (LRs) are used to characterize the efficiency of diagnostic tests. In this paper, we use the classical weighted least squares (CWLS) test procedure, which was originally used for testing the homogeneity of relative risks, for comparing the LRs of two or more binary diagnostic tests. We compare the performance of this method with the relative diagnostic likelihood ratio (rDLR) method and the diagnostic likelihood ratio regression (DLRReg) approach in terms of size and power, and we observe that the performances of CWLS and rDLR are the same when used to compare two diagnostic tests, while DLRReg method has higher type I error rates and powers. We also examine the performances of the CWLS and DLRReg methods for comparing three diagnostic tests in various sample size and prevalence combinations. On the basis of Monte Carlo simulations, we conclude that all of the tests are generally conservative and have low power, especially in settings of small sample size and low prevalence.     

庄子与易经精神比较

道家庄子与易经精神有许多相互沟通之处,如齐物论"天籁地籁人籁"与易经八卦、天运黄帝咸池张乐与易经阴阳思想以及庄子外杂篇与易经卦象的沟通等。以通的原则来解释庄子与易经的精神,可以诠释他们的精神内涵和"与天地精神相往来"的气质。     

西方平等理论从古典自然法学到新自然法学的嬗变

平等是一个非常复杂和抽象的范畴,西方法学对平等理论的热爱和追逐从未停止过,从古典自然法学追求的抽象的平等的政治理想,到新自然法学对平等的制度设计的现实关怀,平等理论随着自然法学的发展实现了其自身的嬗变,这种改变也是时代的要求、历史的必然。     

Female Consciousness in Jane Eyre

Charlotte Bront is a remarkable women writer in the 19th-century English literature. Jane Eyre received comprehensive attention. This thesis analyzes main characters from three aspects, Jane Eyre＇s female consciousness, pursuit of equality, freedom and presents the limitation in Jane Eyre. It also examines the nature of Charlotte Bront？＇s pioneering female consciousness and demonstrates its positive development.     

Generalized information matrix tests for copulas

We propose a family of goodness-of-fit tests for copulas. The tests use generalizations of the information matrix (IM) equality of White and so relate to the copula test proposed by Huang and Prokhorov. The idea is that eigenspectrum-based statements of the IM equality reduce the degrees of freedom of the test’s asymptotic distribution and lead to better size-power properties, even in high dimensions. The gains are especially pronounced for vine copulas, where additional benefits come from simplifications of score functions and the Hessian. We derive the asymptotic distribution of the generalized tests, accounting for the nonparametric estimation of the marginals and apply a parametric bootstrap procedure, valid when asymptotic critical values are inaccurate. In Monte Carlo simulations, we study the behavior of the new tests, compare them with several Cramer–von Mises type tests and confirm the desired properties of the new tests in high dimensions.     

Introduction: What does the future promise for work,employment and society?

In introducing this double Special Issue, the authors draw on the articles contained therein to highlight the main areas for consideration in research on the future of work. They present the fast‐paced changes affecting the world of work as offering an opportunity to move towards equality‐inducing growth, while warning of the dangers posed by mismanaged technological change, inequalities (highlighting the persistent and intersectional nature of gender inequality), global supply chains and opportunities for social dialogue. In this light, they also propose policy recommendations focusing on strengthening worker protection and representative institutions, rethinking regulatory frameworks and taxation systems, and ensuring just transitions.     

Estimating ordered quantiles of two exponential populations with a common minimum guarantee time

The problem of estimating ordered quantiles of two exponential populations is considered, assuming equality of location parameters (minimum guarantee times), using the quadratic loss function. Under order restrictions, we propose new estimators which are the isotonized version of the MLEs, call it, restricted MLE. A sufficient condition for improving equivariant estimators is derived under order restrictions on the quantiles. Consequently, estimators improving upon the old estimators have been derived. A detailed numerical study has been done to evaluate the performance of proposed estimators using the Monte-Carlo simulation method and recommendations have been made for the use of the estimators.