Consistency of minimizing a penalized density power divergence estimator for mixing distribution

In this paper, we study the MDPDE (minimizing a density power divergence estimator), proposed by Basu et al. (Biometrika 85:549–559, 1998), for mixing distributions whose component densities are members of some known parametric family. As with the ordinary MDPDE, we also consider a penalized version of the estimator, and show that they are consistent in the sense of weak convergence. A simulation result is provided to illustrate the robustness. Finally, we apply the penalized method to analyzing the red blood cell SLC data presented in Roeder (J Am Stat Assoc 89:487–495, 1994). This research was supported (in part) by KOSEF through Statistical Research Center for Complex Systems at Seoul National University.     

On some aspects of a generalized alternative zero-inflated logarithmic series distribution

Here, we consider a generalized form of the alternative zero-inflated logarithmic series distribution of Kumar and Riyaz (J. Statist. Comp. Simul., 2015) and study some of its important aspects. The parameters of the distribution are estimated by the method of maximum likelihood and some test procedures are developed for testing the significance of the additional parameter of the model. All these estimation and testing procedures are illustrated with the help of certain real life datasets. A simulation study is also carried out for assessing the performance of the estimators.     

Asymptotic expansions of density of normalized extremes from logarithmic general error distribution

Logarithmic general error distribution is an extension of the log-normal distribution. In this paper, the asymptotic expansions of densities of normalized maximum from logarithmic general error distribution are derived under two different kinds of normalized constants. By applying the main results, the higher-order expansions of moments of maxima are established.     

关于科学发现机器的研究

本文阐述了科学发现的两个判据,在知识存贮有劣性原理的基础上,提出了知识存贮不完全性原理,指出存在一类逻辑上具有非放大性,但认识论上具有放大性的演绎发现机器。在休谟问题逻辑学范围内不可解原理的基础上,论证了不存在通用的归纳发现机器,但建立局部合理的、有效的、完备的归纳发现机器是可行的。最后,本文描述了科学发现机器的结构,并在文献的基础上,描述了一种同时具有发生与评价功能的归纳发现机器并论证了它的合理性。     

隔江人在雨声中——方秀洁的吴文英词研究

海外学者方秀洁的《吴文英与南宋词艺术》一书是吴文英词研究的第一部专著,也是一部充分显示作者词学研究水平的力作。在此研究中方秀洁的贡献是多方面的,尤其在对吴文英词"质实"特征的研讨中,作者运用西方语言风格学的理论,从语汇、语法、修辞、用典、结构等方面加以深细的剖析,不但对吴词"质实"风格之体认从含糊不清的感悟落到了具体而微的实处,从而极大地推进了整个吴文英词的研究,同时也对大陆学者的词学研究具有启迪和借鉴作用。     

The Equivalence of Neyman Optimum Allocation for Sampling and Equal Proportions for Apportioning the U.S. House of Representatives

We present a surprising though obvious result that seems to have been unnoticed until now. In particular, we demonstrate the equivalence of two well-known problems—the optimal allocation of the fixed overall sample size n among L strata under stratified random sampling and the optimal allocation of the H = 435 seats among the 50 states for apportionment of the U.S. House of Representatives following each decennial census. In spite of the strong similarity manifest in the statements of the two problems, they have not been linked and they have well-known but different solutions; one solution is not explicitly exact (Neyman allocation), and the other (equal proportions) is exact. We give explicit exact solutions for both and note that the solutions are equivalent. In fact, we conclude by showing that both problems are special cases of a general problem. The result is significant for stratified random sampling in that it explicitly shows how to minimize sampling error when estimating a total T_Y while keeping the final overall sample size fixed at n; this is usually not the case in practice with Neyman allocation where the resulting final overall sample size might be near n + L after rounding. An example reveals that controlled rounding with Neyman allocation does not always lead to the optimum allocation, that is, an allocation that minimizes variance.     

Profile of the Present Slovak Society and its Regional Differences

The article is the first attempt in assessment of the development and the present situation of social structure and stratification in Slovakia. Its principal aim is to develop the profile of the present society in Slovakia, which reflects the pace and complexity of the transformation process and its impact on society. Processing of Micro census data from 2003 led to creation of the profile of society in Slovakia at the national level based on income distribution but also knowledge on regional societies and differences between them were obtained. It was found out that the present profile of the society in Slovakia is pear-shaped which means strong representation of lower strata and weaker representation of higher middle and high strata. The profile disclosed some specific features and inconsistencies in the present society of Slovakia, which were, and still are determined by many non standard past and present phenomena and processes often disguised by reforms. The information drawn in regions has facilitated identification of the basic nature and structure of regional societies, some of their specific features and negative elements and to demonstrate their highly differentiated character.

中国人口老龄化的地区差异分析

本文基于1990—2013年省际面板数据,以老年人口比重作为老龄化指标,采用基尼系数分解方法和Kernel密度估计方法,实证分析了中国人口老龄化的地区差异及其动态演进过程。研究结果表明：中国人口老龄化在地区分布上呈现出明显的非均衡特征;基尼系数测算及其分解结果表明,人口老龄化的地区差异总体上呈现波动缩小趋势;2004年以前,地区间差距和超变密度交替成为总体地区差异的主要来源,2004年以后,超变密度成为总体差异的主要来源。 Kernel密度估计显示,老龄化程度不断加深,地区差异呈波动趋势。     

A Class of Sampling Two Units with Probability Proportional to Size

A class of sampling two units without replacement with inclusion probability proportional to size is proposed in this article. Many different well known probability proportional to size sampling designs are special cases from this class. The first and second inclusion probabilities of this class satisfy important properties and provide a non-negative variance estimator of the Horvitz and Thompson estimator for the population total. Suitable choice for the first and second inclusion probabilities from this class can be used to reduce the variance estimator of the Horvitz and Thompson estimator. Comparisons between different proportional to size sampling designs through real data and artificial examples are given. Examples show that the minimum variance of the Horvitz and Thompson estimator obtained from the proposed design is not attainable for the most cases at any of the well known designs.