迭代阵特征值模界的估计

线性方程组Ａｘ＝ｂ的数值求解是许多数值问题的核心，其迭代法的收敛性分析是众多计算数学学者的研究焦点。本文一般性地抽象出矩阵分裂迭代阵，用简单的方法给出迭代阵特征值模的界的估计，将给许多问题的讨论带来方便，且应用起来直接明了。     

Edgeworth expansion for signed linear rank statistics with regression constants

An Edgeworth expansion with remainder o(N^?1) is obtained for signed linear rank statistics under suitable assumptions. The theorem is proved for a wide class of score generating functions including the Chi-quantile function by adapting van Zwet's methodand Does's conditioning arguments.     

刘大白的文学史观

刘大白的文学“游览指南”、“诗”的文学和“因袭创造”文学等文学史观,在文学范围的确定、文学欣赏的原则以及文学价值的评判等方面,都有独到的见解,对我们目前的文学史理论建设有诸多可供借鉴之处,依然值得我们深入思考。     

Local Linear Additive Quantile Regression

Abstract.  We consider non-parametric additive quantile regression estimation by kernel-weighted local linear fitting. The estimator is based on localizing the characterization of quantile regression as the minimizer of the appropriate 'check function'. A backfitting algorithm and a heuristic rule for selecting the smoothing parameter are explored. We also study the estimation of average-derivative quantile regression under the additive model. The techniques are illustrated by a simulated example and a real data set.     

SL(2,R)上球函数的求和定理

基于经典的Fourier级数求和法,利用逼近恒同核与函数做卷积和球函数的Fourier展开公式给出了SL(2,R)上球函数的一般求和定理.     

旅游住宿服务满意度模型分析——以西安市为例

文章以项目组2004年对全国六大旅游热点城市入境游客所做的抽样调查数据为基础,运用对数线性模型这一多元统计分析方法,对西安市日本和美国游客关于旅游住宿服务的满意度进行了量化分析,得出了日本游客对西安市住宿服务的满意度要高于美国游客这一结论。从而为西安市针对不同的目标客源市场制定合理的旅游开发政策提供了一定的理论依据。     

Lexicographic state-dependent subjective expected utility

An additive-across-states decomposition of lexicographic linear utility is easily obtained under a mild structural assumption concerning sufficient richness of acts in the domain of preference assessment, but the vectorial nature of lexicographic utility introduces two complexities absent in the real-valued case. First, the concept of state nullity becomes lexicographic rather than binary; and second, a standard construction for obtaining subjective probabilities from real-valued, state-dependent utilities produces matrices instead of nonnegative real numbers in the lexicographic setting.     

线性空间的幂等变换与对合变换的几个等价表示

给出数域F上线性空间(不一定是有限维的)的线性变换是对合变换与幂等变换的几个等价描述.作为其推论,得到数域F上n阶方阵是对合矩阵与幂等矩阵的几个等价描述.     

Double hierarchical generalized linear models (with discussion)

Summary.  We propose a class of double hierarchical generalized linear models in which random effects can be specified for both the mean and dispersion. Heteroscedasticity between clusters can be modelled by introducing random effects in the dispersion model, as is heterogeneity between clusters in the mean model. This class will, among other things, enable models with heavy-tailed distributions to be explored, providing robust estimation against outliers. The h -likelihood provides a unified framework for this new class of models and gives a single algorithm for fitting all members of the class. This algorithm does not require quadrature or prior probabilities.     

Design and analysis of computer experiments when the output is highly correlated over the input space

To build a predictor, the output of a deterministic computer model or “code” is often treated as a realization of a stochastic process indexed by the code's input variables. The authors consider an asymptotic form of the Gaussian correlation function for the stochastic process where the correlation tends to unity. They show that the limiting best linear unbiased predictor involves Lagrange interpolating polynomials; linear model terms are implicitly included. The authors then develop optimal designs based on minimizing the limiting integrated mean squared error of prediction. They show through several examples that these designs lead to good prediction accuracy.