Bayesian Analysis in Regression Models Using Pseudo-Likelihoods

This article deals with the issue of using a suitable pseudo-likelihood, instead of an integrated likelihood, when performing Bayesian inference about a scalar parameter of interest in the presence of nuisance parameters. The proposed approach has the advantages of avoiding the elicitation on the nuisance parameters and the computation of multidimensional integrals. Moreover, it is particularly useful when it is difficult, or even impractical, to write the full likelihood function.

We focus on Bayesian inference about a scalar regression coefficient in various regression models. First, in the context of non-normal regression-scale models, we give a theroetical result showing that there is no loss of information about the parameter of interest when using a posterior distribution derived from a pseudo-likelihood instead of the correct posterior distribution. Second, we present non trivial applications with high-dimensional, or even infinite-dimensional, nuisance parameters in the context of nonlinear normal heteroscedastic regression models, and of models for binary outcomes and count data, accounting also for possibile overdispersion. In all these situtations, we show that non Bayesian methods for eliminating nuisance parameters can be usefully incorporated into a one-parameter Bayesian analysis.     

一类n阶非线性微分方程多点边值问题解的唯一性

本文利用Leray-Schauder度理论建立了n阶非线性微分方程y(n)=f(x,y,y′,…y(n-1)),0     

A class of mean residual life regression models with censored survival data

When describing a failure time distribution, the mean residual life is sometimes preferred to the survival or hazard rate. Regression analysis making use of the mean residual life function has recently drawn a great deal of attention. In this paper, a class of mean residual life regression models are proposed for censored data, and estimation procedures and a goodness-of-fit test are developed. Both asymptotic and finite sample properties of the proposed estimators are established, and the proposed methods are applied to a cancer data set from a clinic trial.     

分析对流-扩散方程显格式稳定性的一种方法

给出了分析二维对流-扩散方程FTCS显格式（时间向前,空间中心的差分格式）稳定条件的一种方法.这种方法可用于分析一维到高维对流-扩散方程差分格式的稳定性.     

The Role of Criminal Social Identity in the Relationship between Criminal Friends and Criminal Thinking Style within a Sample of Recidivistic Prisoners

Previous research suggests a direct relationship between criminal friends and criminal thinking style; however, social identity theory proposes that identity mediates the impact of social group members on development of thinking styles. This research project is the first attempt to empirically test the mediating role of criminal social identity in the development of criminal thinking styles within a recidivistic prison sample (N = 312). The structural equation model of criminal thinking style presented and tested in this study supports the central predictions of social identity theory, with findings demonstrating an indirect effect of antisocial friend associations on criminal thinking through in-group affect and in-group ties with criminal in-group members that reflect two of three dimensions of the measure of criminal social identity applied in the current study. Further implications in relation to theory and previous studies are discussed.     

Neighborhood Conditions,Parenting, and Adolescent Functioning

ABSTRACT

This study examined youth self-reported data from a 4-year longitudinal study of 5th and 8th grade youth and their parents. Relationships between neighborhood conditions, parenting, and youth antisocial behavior were tested using structural equation modeling. The findings of this study appear to suggest there are two social forces that affect youth antisocial behavior: parenting and neighborhood conditions. Higher levels of parental acceptance and monitoring are directly and significantly associated with lower levels of youth antisocial behavior, as are higher levels of community social integration and lower levels of youth loneliness. Overall, it was found that some measures of neighborhood conditions and some measures of parenting were relatively equally predictive of youth antisocial behavior. Other measures of neighborhood conditions were predictive of parenting, but not strongly enough to also impact adolescent functioning.     

A semigroup approach to the strong ergodic theorem of the multistate stable population process

In this paper we first formulate the dynamics of multistate stable population processes as a partial differential equation. Next, we rewrite this equation as an abstract differential equation in a Banach space, and solve it by using the theory of strongly continuous semigroups of bounded linear operators. Subsequently, we investigate the asymptotic behavior of this semigroup to show the strong ergodic theorem which states that there exists a stable distribution independent of the initial distribution. Finally, we introduce the dual problem in order to obtain a logical definition for the reproductive value and we discuss its applications.     

半线性热方程解的爆破率

考虑半线性方程ｕｔ－△ｕ＝（１＋ｕ）ｌｎ２＋ｒ（１＋｜ｕ｜）的初边值问题，对解ｕ在爆破时刻Ｔ的爆破率进行估计．     

薄环形相对论电子注介质切伦可夫脉塞

轴向电子注通过介质慢波系统，当波的相速略低于电子注的速度时就可产生相干的切伦可夫辐射，这一现象是一切行波管的基础。本文利用线性理论，通过自洽求解粒子连续性方程和相对论运动方程与麦克斯韦方程组，分析了薄环形相对论电子注介质切伦可夫脉塞的注波互作用，得到了完全描述其薄环形电子注作用的跳变条件，导出了描述其不稳定性的色散方程和注波互作用的同步条件，并求得了波增长率。     

二阶非线性时滞微分方程解的渐近性

本文建立了二阶非线性时滞微分方程解的渐近性结果及全局吸引定理,改进和推广了二阶线性方程和一阶非线性方程的已知定理。