A Study on the Methods of Functional Data Analysis and Their Application

函数性数据分析是把观测数据yi=(yi1,…,yiTi)看成一个整体，表示为光滑曲线或连续函数ui(t)，i=1,…,N，然后从函数视角对其进行分析。与传统的分析方法相比，函数性数据分析具有其自身的优越性，它依赖较少的假设条件和较弱的结构约束，不要求不同观测对象的数据观测点和观测次数相同，不但可以实现对无限维度数据（即这里所谓的函数性数据）的模式挖掘，而且还可用于对非函数性数据进行分析。函数性数据分析的一个重要的特性是可以求出导数曲线或微分曲线，通过对它们的分析能够挖掘出更多的重要信息，例如对一阶或高阶导数曲线的分析可探索曲线之间的差异和曲线内部动态变化模式等。面向函数性数据的挖掘已引起国内外...In functional data analysis, data are analyzed from a functional angle with viewing the data as an entirety, which is shown as a smooth curve or continuous functions. Compared with the traditional analyzing methods, functional data analysis has its own advantages, it relies relatively on less assumed conditions and looser structural limit, does not require that different observed objects have the ...学位：经济学博士院系专业：经济学院计划统计系_统计学学号：2005140286

Research on the Comprehensive Evaluation of China Social Society System

在深化改革与加快经济发展的进程中,社会保障的作用和地位日显重要。目前我国对社会保障制度的评价理论研究多侧重于社会保障水平适度性评价和与世界各国保障类型、保障项目、覆盖面等方面的分项横向比较评价。在此,从一个新的角度构建能从总体上(包括社会保障制度的内涵、功能目标、经济效应、基金的运营以及社会成员对社会保障制度的满意度等)把握我国社会保障制度的评价指标体系,并对评价标准和评价方法进行了研究。In the process of deepening reform and quickening economic development,the role and status of the social society is more and more important.At present,theoretical researches on the evaluation of the social society system concentrate on evaluating of the moderate level and comparing various aspects of social society,such as types,items,coverage etc,between different countries horizontally.This article constructs an evaluation index system from a new angle,which can grasp the status of China social society system from the connotation,function goals,economic effect,fund operation as well as the satisfaction degree of social members and so on as a whole,and then the article researches evaluation criteria and evaluation method

流向图——一种质量分析法

在质量管理过程中,常常需要就造成质量问题的原因进行分析,影响质量的因素中,不仅有定量的因素,而且有不少是定性因素。目前常采用分层法对造成质量问题的多个定性因素进行分析。我们知道,分层法实质上就是用统计中的列联表来表示的一种方法,通常最多只能分析三个定性因素。高维(即有多个因素)列联表的表示至今仍是统计研究的一个领域,多于三个因素的列联表表示

The Functional Regression Model Based on Basis Function Expansion of Model Parameter and Its Application

与传统的回归方法相比,函数数据回归可以从连续的角度揭示变量间内在关系发展变化的速率、曲率等更深层次的动态规律性。本文通过对模型参数的基函数展开来构建函数回归模型,并利用该模型对1989-2005年我国城镇居民消费函数进行动态分析。Compared with the traditional regression method,functional data regression can explore deeper level dynamic regularity of intrinsic relations between variables,such as velocity,curvature and so on.This paper builds functional regression model based on basis expansion of model parameter,and applies the model to making dynamic analysis of consumption function of China urban households from 1989 to 2005.国家教育部社科研究规划项目(06JA910003