Domains of convergence for the EM algorithm: a cautionary tale in a location estimation problem

The EM algorithm is a popular method for maximizing a likelihood in the presence of incomplete data. When the likelihood has multiple local maxima, the parameter space can be partitioned into domains of convergence, one for each local maximum. In this paper we investigate these domains for the location family generated by the t-distribution. We show that, perhaps somewhat surprisingly, these domains need not be connected sets. As an extreme case we give an example of a domain which consists of an infinite union of disjoint open intervals. Thus the convergence behaviour of the EM algorithm can be quite sensitive to the starting point.     

情商在体育教学中的作用

学校体育教学的现状与时代的要求尚有一定距离,体育教学的改革势在必行。阐述情商EQ在体育教学中所起的作用。     

论《周易》中圣人崇拜思想及影响

《周易》的圣人崇拜思想 ,既有积极作用 ,更多的是消极作用 ,必须在新时代加以转换     

科学执政、民主执政中的依法执政基本途径

依法执政或依法行政,作为执政方式最为直接、最为具体的基本实践环节或途径,在相当范围内反映着科学执政、民主执政的实现程度。这取决于《行政许可法》不打折扣地坚决实施,政府的依法执政职能方式从重管制向重服务转变;职能范围从“全能”向“有限”回归;职能性质由“专断”走向真正“民主”;职能习惯从主观随意转向严格的法治。     

二项式函数在组合恒等式证明中的应用

一些恒等式在函数论、组合数学、解析数论等学科的研究领域中极为重要。以二项式作为生成函数,给出了几个组合恒等式证明。     

Semiparametric linear transformation models for current status data

Current status data arise when the death of every subject in a study cannot be determined precisely, but is known only to have occurred before or after a random monitoring time. The authors discuss the analysis of such data under semiparametric linear transformation models for which they propose a general inference procedure based on estimating functions. They determine the properties of the estimates they propose for the regression parameters of the model and illustrate their technique using tumorigenicity data.     

西北少数民族地区乡村初级群体及其功能分析

社会群体是人们社会生活中的具体单位,社会群体生活是人们的基本生活方式,因此,群体就成为社会学研究的主要组成部分,社会学如此,民族社会学更如此。处于转型期的西北民族乡村社会,社会群体特别是初级群体依然扮演着极其重要的角色。对其进行功能分析有助于深化对它们的认识。     

机械设计技能培训功能的教学模块

文章根据专业学习和技能培训的关系,设计了本科教学的机械设计技能培训模块,为培养大学生的设计技能提供了一个实践平台。     

拓扑型KKM定理和Riesz空间中的极大极小定理

证明了广义区间空间中几个新的参数型KKM定理,由此得到了Riesz空间中几个新型极大极小定理。     

Some quantitative concepts of value and utility from a utilitarian point of view

This paper clarifies and interprets some basic quantitative concepts of value, utility and utility function from a utilitarian point of view. First, I discuss the question as to whether value is objective or subjective. I hold that value is subjective and statistical in nature (although from the various subjective values of a certain object a norm can usually be obtained). Second, I emphasize the distinction between use value and exchange value in relation to utility. Third, I propose a law of diminishing incremental interest, which refers to the incremental (marginal) utility of money. Fourth, I identify the utility of money with the von Neumann-Morgenstern utility. Fifth, I question the necessity of the usual normalization of utility functions and the restricted linear transformation (and the consequent concept of strategic equivalence). Sixth, I discuss in detail the terminal values and utilities of a utility function from a philosophical rather than mathematical point of view, particularly the boundedness of a utility function and the magnitudes of V ₀ and U ₀. Finally, I conclude that, in order to be able to have interpersonal comparisons of utility, utility should have the same dimension as value rather than no dimension, and the normalization problem should be reconsidered in the light of terminal values and utilities.