Strong laws of large numbers for dependent heterogeneous processes: a synthesis of recent and new results

This paper surveys recent developments in the strong law of large numbers for dependent heterogeneous processes. We prove a generalised version of a recent strong law for Lz-mixingales, and also a new strong law for Lpmixingales. These results greatly relax the dependence and heterogeneity conditions relative to those currently cited, and introduce explicit trade-offs between dependence and heterogeneity. The results are applied to proving strong laws for near-epoch dependent functions of mixing processes. We contrast several methods for obtaining these results, including mapping directly to the mixingale properties, and applying a truncation argument.     

Generalized Weibull Linear Models

For the first time, a new class of generalized Weibull linear models is introduced to be competitive to the well-known generalized (gamma and inverse Gaussian) linear models which are adequate for the analysis of positive continuous data. The proposed models have a constant coefficient of variation for all observations similar to the gamma models and may be suitable for a wide range of practical applications in various fields such as biology, medicine, engineering, and economics, among others. We derive a joint iterative algorithm for estimating the mean and dispersion parameters. We obtain closed form expressions in matrix notation for the second-order biases of the maximum likelihood estimates of the model parameters and define bias corrected estimates. The corrected estimates are easily obtained as vectors of regression coefficients in suitable weighted linear regressions. The practical use of the new class of models is illustrated in one application to a lung cancer data set.     

A modified subset selection formulation with special reference to one-way and two-way layout experiments

The usual formulation of subset selection due to Gupta (1956) requires a minimum guaranteed probability of a correct selection. The modified formulation of the present paper includes an additional requirement that the expected number of the nonbest populations be bounded above by a specified constant when the best and the next best populations are ‘sufficiently’ apart. A class of procedures is defined and the determination of the minimum sample size required is discussed. The specific problems discussed for normal populations include selection in terms of means and variances, and selection in terms of treatment effects in a two-way layout.     

Limited information bayesian analysis of a structural coefficient in a simultaneous equations system

An analytical expression is obtained for the marginal posterior density for a structural coefficient in a simultaneous equations system based on a limited information Bayesian analysis. A con- ditional posterior density is obtained given reduced form para- meters. This conditional posterior density is in univariate student t form. Numerical examples suggest that the conditional density hasa tighter distribution around the posterior mean than the unconditional density when the correlation between the endo- genous variables and the structural error term is high.     

Some aspects of the reparametrization of statistical models

Definitions are given for orthogonal parameters in the context of Bayesian inference and likelihood inference. The exact orthogonalizing transformations are derived for both cases, and the connection between the two settings is made precise. These parametrizations simplify the interpretation of likelihood functions and posterior distributions. Further, they make numerical maximization and integration procedures easier to apply. Several applications are studied.     

Ng10二通插装阀结构形状及参数的试验研究

本文提出了测量Ng10二通插装阀静,动态性能的试验方法,测试了阀套开口形状、各种尾部结构的阀芯、阀芯行程、阀芯锥度、控制盖板阻尼孔尺寸等结构形状参数对插装阀静、动态性能的影响,并对试验结果进行了对比分析.在此基础上.确定了本文述及条件下的最佳结构形状和参数.     

Jackknifing in Categorical Data Analysis

Estimation of nonlinear functions of a multinomial parameter vector is necessary in many categorical data problems. The first and second order jackknife are explored for the purpose of reduction of bias. The second order jackknife of a function g(.) of a multinomial parameter is shown to be asymptotically normal if all second order partials ?²g( p )?dp_i?p_j obey a Hölder condition with exponent α>1/2. Numerical results for the estimation of the log odds ratio in a 2times2 table demonstrate the efficiency of the jackknife method for reduction of mean-square-error and the construction of approximate confidence intervals.     

新视野:建筑感性工学的维度及其价值

建筑感性工学是建筑美学与建筑工学相结合的产物。建筑设计在感觉参数、知觉意象与听觉系统等感性工学维度上具有独特的美学理念。从建筑形象设计考量,感觉参数是建筑感性工学的首要维度;在建筑空间设计向度上,知觉意象是建筑感性工学的体验形态;在建筑时间设计中,听觉系统是建筑感性工学的立体声响诉求。在当代感性工学与商业资本运作下,建筑感性工学显示出建筑空间既是居住者生活情趣的视听空间,也是社会的表情、文化与身份的独特价值空间。     

Asymptotic risk comparisions of restricted and unrestricted maximum likelihood estimators

Conditions for choosing between restricted and unrestrieted maximum likelihood estimators based on various asymptotic risk oriteria are derived. These conditions involve the non-centrality parameters of classical and specification test statistics, and are generlizations of well known results for the linear regression model.     

文化发展的两难困境及我国的应对策略

当今世界,伴随着全球化的浪潮席卷全球,文化发展呈现出了融合与冲突两种截然相反的发展取向。在这一矛盾运动过程中,民族文化如何适应文化的发展潮流,使各种文化充分融合又不失本民族文化的独立自主性,就成为一个难题。面对全球化背景下的文化融合与冲突新趋势,我国也应对文化发展两难困境采取相应的应对策略。