Invariant tests for multivariate normality: a critical review

d -dimensional random vector X is some nondegenerate d-variate normal distribution, on the basis of i.i.d. copies X ₁, ..., X _x of X. Particular emphasis is given to progress that has been achieved during the last decade. Furthermore, we stress the typical diagnostic pitfall connected with purportedly ‘directed’ procedures, such as tests based on measures of multivariate skewness. Received: April 30, 2001; revised version: October 30, 2001     

Objective priors for hypothesis testing in one-way random effects models

The Bayes factor is a key tool in hypothesis testing. Nevertheless, the important issue of which priors should be used to develop objective Bayes factors remains open. The authors consider this problem in the context of the one-way random effects model. They use concepts such as orthogonality, predictive matching and invariance to justify a specific form of the priors for common parameters and derive the intrinsic and divergence based prior for the new parameter. The authors show that both intrinsic priors or divergence-based priors produce consistent Bayes factors. They illustrate the methods and compare them with other proposals.     

新社会阶层与其他社会阶层在根本利益上是一致的

基本纲领的实现是实现最高纲领的重要步骤 ,新社会阶层是实现初级阶段基本纲领的必然产物和必要条件。新社会阶层与其他社会阶层在具体经济关系中的利益密不可分 ,不能离开具体社会历史条件来谈诸如劳资利益对立的问题。新社会阶层具有开放性 ,开放性孕含着机会均等性 ,机会均等性使每个社会成员都有转换成新社会阶层构成成员的可能。新社会阶层与社会其他阶级和阶层之间的矛盾与差异可以通过调节的方式进行解决     

On the Posterior Consistency of Mixtures of Dirichlet Process Priors with Censored Data

Mixtures of Dirichlet process priors offer a reasonable compromise between purely parametric and purely non‐parametric models, and are popularly used in survival analysis and for testing problems with non‐parametric alternatives. In this paper, we study large sample properties of the posterior distribution with a mixture of Dirichlet process priors. We show that the posterior distribution of the survival function is consistent with right censored data.     

试论普通话水平测试平行信度研究

与汉语水平考试(HSK)的研究相比,普通话水平测试(PSC)在难度、信度、效度等方面的研究显得还很薄弱,而难度、信度、效度都是衡量测试质量高低的重要指标。本文参照“HSK(初中等)”平行信度的研究成果,针对普通话水平测试的特点,从理论上提出了普通话水平测试平行信度研究的可行方法,为进一步的实证研究打开了思路。     

What is the effective sample size of a spatial point process?

Point process models are a natural approach for modelling data that arise as point events. In the case of Poisson counts, these may be fitted easily as a weighted Poisson regression. Point processes lack the notion of sample size. This is problematic for model selection, because various classical criteria such as the Bayesian information criterion (BIC) are a function of the sample size, n, and are derived in an asymptotic framework where n tends to infinity. In this paper, we develop an asymptotic result for Poisson point process models in which the observed number of point events, m, plays the role that sample size does in the classical regression context. Following from this result, we derive a version of BIC for point process models, and when fitted via penalised likelihood, conditions for the LASSO penalty that ensure consistency in estimation and the oracle property. We discuss challenges extending these results to the wider class of Gibbs models, of which the Poisson point process model is a special case.     

利益博弈、同意一致性与农村宅基地制度演化

目前我国宅基地制度与现实不适应性越来越强烈,宅基地的隐性流转也愈演愈烈。通过对农村宅基地制度变革中的利益博弈分析表明,利益集团之间利益博弈推动农村宅基地制度演化,而利益集团之间利益的耦合程度及其力量对比关系决定着制度演化的路径。通过建立进化博弈分析模型,可以探究我国农村宅基地制度演化的机制,寻求宅基地制度演化过程中各利益集团的进化稳定策略,以及进化稳定策略影响因素,实现制度变革“同意一致性”,促进农村宅基地资源配置效率的提高。为了实现我国农村宅基地制度向良性轨道演化,必须支持农民弱势利益集团的形成与发展、抑制强势利益集团对公共政策的过度渗透、改变政府角色。     

Testing Prospect Theories Using Probability Tradeoff Consistency

The two versions of prospect theory, original prospect theory (OPT; Kahneman and Tversky, 1979) and cumulative prospect theory (CPT; Tversky and Kahneman, 1992), use different composition rules to combine the value function and the probability weighting function and hence value gambles with two or more non-zero outcomes differently. Previous tests of OPT and CPT have yielded mixed results, with some investigations supporting OPT and some supporting CPT. We extend the probability tradeoff consistency axiom used in Abdellaoui (2002) for CPT to OPT, and develop a critical test of the two prospect theories based on their respective probability tradeoff consistency conditions. An empirical investigation of the critical test shows that choices are consistent with OPT, but not CPT, for gambles that do not involve a certainty effect, and consistent with both CPT and OPT for gambles that do involve a certainty effect, provided that an editing operation is invoked for OPT.     

Maximum likelihood estimators in finite mixture models with censored data

The consistency of estimators in finite mixture models has been discussed under the topology of the quotient space obtained by collapsing the true parameter set into a single point. In this paper, we extend the results of Cheng and Liu (2001) to give conditions under which the maximum likelihood estimator (MLE) is strongly consistent in such a sense in finite mixture models with censored data. We also show that the fitted model tends to the true model under a weak condition as the sample size tends to infinity.     

Some theoretical results on approximation methods 1

In this paper we give an approximation procedure to surfaces which are defined on a _p-dimensional region and are observable (disturbed with some noice) according to an experimental design. In this procedure we combine clustering methods, discriminant analysis and smoothing techniques.

In the second part of the paper is considered some investigations on statistical properties of linear smoothing procedures. We assume linear models and for a broad class of models we prove the consistence of the estimation of the expectation of observations after smoothing.

In the last section we give some results on efficiency.