Linear Subspace Spanned by Principal Points of a Mixture of Spherically Symmetric Distributions

For each positive integer k, a set of k-principal points of a distribution is the set of k points that optimally represent the distribution in terms of mean squared distance. However, explicit form of k-principal points is often difficult to obtain. Hence a theorem established by Tarpey et al. (1995 Tarpey , T. , Li , L. , Flury , B. D. ( 1995 ). Principal points and self-consistent points of elliptical distributions . Ann. Statist. 23 : 102 – 112 .[Crossref], [Web of Science ®] , [Google Scholar]) has been influential in the literature, which states that when the distribution is elliptically symmetric, any set of k-principal points is in the linear subspace spanned by some principal eigenvectors of the covariance matrix. This theorem is called a “principal subspace theorem”. Recently, Yamamoto and Shinozaki (2000b Yamamoto , W. , Shinozaki , N. ( 2000b ). Two principal points for multivariate location mixtures of spherically symmetric distributions . J. Japan Statist. Soc. 30 : 53 – 63 .[Crossref] , [Google Scholar]) derived a principal subspace theorem for 2-principal points of a location mixture of spherically symmetric distributions. In their article, the ratio of mixture was set to be equal. This article derives a further result by considering a location mixture with unequal mixture ratio.     

Estimation of the number of jumps of the jump regression functions

This paper suggests an estimator of the number of jumps of the jump regression functions. The estimator is based on the difference between right and left onesided kernel smoothers. It is proved to be a.s. consistent. Some results about its rate of convergence are also provided.     

Tests for homogeneity of risk differences in stratified design with correlated bilateral data

ABSTRACT

Correlated bilateral data arise from stratified studies involving paired body organs in a subject. When it is desirable to conduct inference on the scale of risk difference, one needs first to assess the assumption of homogeneity in risk differences across strata. For testing homogeneity of risk differences, we herein propose eight methods derived respectively from weighted-least-squares (WLS), the Mantel-Haenszel (MH) estimator, the WLS method in combination with inverse hyperbolic tangent transformation, and the test statistics based on their log-transformation, the modified Score test statistic and Likelihood ratio test statistic. Simulation results showed that four of the tests perform well in general, with the tests based on the WLS method and inverse hyperbolic tangent transformation always performing satisfactorily even under small sample size designs. The methods are illustrated with a dataset.     

某综合医院慢性病患者住院费用构成及影响因素分析

目的：分析慢性病患者住院费用及其影响因素,为控制慢性病住院费用提供依据。方法：收集安徽省某综合医院2014年全年慢性病住院患者病案信息,对患者的住院费用及其影响因素进行统计分析。结果：慢性病患者的次均住院费用、药品费用、检查费用、化验费用分别为8 207.5元、3 442.5元、1 275.0元、1 057.5元;高血压、糖尿病、椎间盘疾病患者的次均住院费用分别为5 929.2元、10 384.1元、8 900.2元,其中药品费用占住院费用的比重依次为33.9%、47.4%、34.9%;住院天数与住院费用之间存在正相关;年龄、住院天数和疾病类型是住院费用的影响因素。结论：慢性病患者住院费用较高,经济负担较重;糖尿病患者住院费用最高,药品费用占比最大;椎间盘疾病患者住院天数最长;老年人为慢性病高危人群。     

论经济统计学如何适应新核算体系的改革

我国新国民经济核算体系的实行,标志着国民经济统计工作的全面改革。在经济统计实践已经并将发生巨大变革的新格局下,国民经济统计学的内容体系如何与其相适应?如何作出配套改革?如何迈上新台阶?是这些年来摆在我们统计理论工作者和统计教育工作者面前的一个重大课题。     

对大统计思路的若干思考

对大统计思路的若干思考邱东近年来,随着我国现代市场经济的发展,在统计事业特别是统计学科和统计教育的建设发展中,大统计的思路得到了越来越多的认同。在研究中,许多同志提出了很好的见解,但也有一些观点值得进一步深思。本文拟就有关的问题谈一点想法。一、大统计...     

对国际经济比较方法的若干思考

对国际经济比较方法的若干思考邱东ＡＢＳＴＲＡＣＴＴｈｅｍｅｔｈｏｄｏｆｅｘｃｈａｎｇｅｒａｔｅｈａｓｇｒａｄｕａｌｙｌｏｓｔｉｔｓｌｅａｄｉｎｇｒｏｌｅｉｎｉｎｔｅｒｎａｔｉｏｎａｌｃｏｍｐａｒｉｓｏｎｂｅｃａｕｓｅｏｆＩＣＰ（Ｉｎｔｅｒｎａｔｉｏｎ...     

行政许可司法审查中的行政案卷制度

行政许可是行政管理的重要方式,许可权的行使应当程序正当,行政案卷制度就是确保行政程序正当的基本制度。《行政许可法》第一次在法律上确定了行政案卷制度原则,对进一步规范我国行政许可行政行为产生了十分积极的作用。     

身心之喻——《老子指归》身体隐喻中的思想

《指归》的身体观思想很重要的体现之一即是用身体的基本架构＂心-身＂来比拟政治构成的两个重要元素――君与民。以心喻君、以身喻民表达了严遵对于君民关系以及无为而治的政治理解。引入了身体隐喻的表达方式,严遵对于君民关系的论述显得更为明晰。关于君民关系,一方面君民之间既是互为一体,相互感应,另一方面＂民又不谕君之所为＂,这其中的矛盾又得以通过身与心的关系来解决。