Likelihood ratio order of parallel systems under multiple-outlier models

This paper studies the likelihood ratio ordering of parallel systems under multiple-outlier models. We introduce a partial order, the so-called θ-order, and show that the θ-order between the parameter vectors of the parallel systems implies the likelihood ratio order between the systems.     

彝族古籍文献《苏巨黎咪》的秩序观念建构

彝族古籍文献《苏巨黎咪》产生于唐朝初至中叶，记述了从上至君长到下至百姓的各种传统道德观念，蕴含着对秩序观念的建构，是彝族传统文化的重要载体。其主要内容可归结三个层面：强调君臣关系下的忠臣观念；以君主为主体的尚贤爱民的治理观；孝悌亲友、崇祖敬毕的和谐观及爱美向善的仁义观。该书是作者通过对儒家文化的学习以及有选择性地吸收和融合的产物，体现出作者出于维护统治者利益的、对稳定社会秩序的追求，把下层和上层、边缘和主流联系了起来，增强了族群凝聚力和认同感，维护了君长统治和社会稳定，推动了当时彝族社会的良性转型和健康发展。     

慈善与慈善组织的秩序维度与政策选择

人是生活在秩序维度的，人的生命的价值，尤其是劳动力的价值，与处于不同秩序维度有关系。公共慈善也是如此。它有原始秩序的维度，也有扩展秩序的维度，在不同的维度里，有不同的价值。从特朗普家族慈善基金会的命运，可以见出慈善和慈善组织涉及到的不同维度秩序的冲突。更好地发展慈善和慈善组织，需要解决冲突，在不同的秩序维度里，处理好各个方面的关系。     

词序像似性研究及实例分析

像似性是相对任意性而言的。语言像似性是指语言形式或结构与其所表达的概念之间存在对应关系,而词序像似性是指词的组织形式和人的认知结构之间有某种对应关系,主要受四个原则支配:顺序像似原则、距离像似原则、与说话人接近原则和文化规约像似原则。正确理解词序像似性的概念和原则,对目标语的学习有重要的指导意义。     

The generalized odd half-Cauchy family of distributions: Properties and applications

We introduce and study general mathematical properties of a new generator of continuous distributions with one extra parameter called the generalized odd half-Cauchy family. We present some special models and investigate the asymptotics and shapes. The new density function can be expressed as a linear mixture of exponentiated densities based on the same baseline distribution. We derive a power series for the quantile function. We discuss the estimation of the model parameters by maximum likelihood and prove empirically the flexibility of the new family by means of two real data sets.     

The Kumaraswamy GEV distribution

The popular generalized extreme value (GEV) distribution has not been a flexible model for extreme values in many areas. We propose a generalization – referred to as the Kumaraswamy GEV distribution – and provide a comprehensive treatment of its mathematical properties. We estimate its parameters by the method of maximum likelihood and provide the observed information matrix. An application to some real data illustrates flexibility of the new model. Finally, some bivariate generalizations of the model are proposed.     

Stochastic comparisons between extreme order statistics from scale models

Stochastic ordering relations between extreme order statistics from exponential, Weibull and gamma distributions have been studied extensively by many researchers in recent years. In this work, we obtain various ordering results for the comparisons of two extreme order statistics from scale models when one set of scale parameters majorizes the other. The new results obtained here are applied when the baseline distributions are exponentiated Weibull or generalized gamma distributions. In this way, we generalize and extend some results established recently in the literature.     

数量体现述式的系统功能语法研究

系统功能语言学中的系统语法是体现性语法，语言被视为意义资源系统，而非封闭自足的规则系统。系统语法和阶与范畴语法的一个变化就是体现述式的引入，体现述式是对层际或层内体现关系的一种建模由操作项和操作符构成。系统功能语法主要识别了插入、排序、重合、扩展、预选等五种体现述式，本文基于系统功能语法对数量在体现过程中的体现述式进行跨语言的探索研究。      

Pitman closeness,monotonicity and consistency of best linear unbiased and invariant estimators for exponential distribution under Type II censoring

Comparisons of best linear unbiased estimators with some other prominent estimators have been carried out over the last 50 years since the ground breaking work of Lloyd [E.H. Lloyd, Least squares estimation of location and scale parameters using order statistics, Biometrika 39 (1952), pp. 88–95]. These comparisons have been made under many different criteria across different parametric families of distributions. A noteworthy one is by Nagaraja [H.N. Nagaraja, Comparison of estimators and predictors from two-parameter exponential distribution, Sankhyā Ser. B 48 (1986), pp. 10–18], who made a comparison of best linear unbiased (BLUE) and best linear invariant (BLIE) estimators in the case of exponential distribution. In this paper, continuing along the same lines by assuming a Type II right censored sample from a scaled-exponential distribution, we first compare BLUE and BLIE of the exponential mean parameter in terms of Pitman closeness (nearness) criterion. We show that the BLUE is always Pitman closer than the BLIE. Next, we introduce the notions of Pitman monotonicity and Pitman consistency, and then establish that both BLUE and BLIE possess these two properties.     

Dimension reduction via local rank regression

Outer product of gradients (OPG) achieves dimension reduction via estimating the gradients of the regression function. In this paper, we propose two novel OPG estimators via local rank regression: the rank OPG estimator and the Walsh-average OPG estimator. Both proposals guard against a wide range of error distributions, and are safe alternatives to existing OPG estimators based on local linear regression or local L1 regression. The effectiveness of the new proposals are demonstrated via extensive numerical studies.