Improvement of Highway Safety I: Identification of Causal Factors Through Fault-Tree Modeling1

As the first article of a two-part series, the purpose of this paper is to examine the functional factors that contribute to automobile accident occurrence and to model the causation structure in the form of a fault-tree. The fault-tree model provides an intuitive framework for qualitatively decomposing possible pathways to accident occurrence. Fault-tree analysis also provides a statistical representation of how interacting driver, vehicle, and environmental factors contribute to the likelihood of automobile accident occurrence. The application of this model facilitates pinpointing those factors that most contribute to accident causation and subsequently enables the identification and comparison of potential crash avoidance technologies.     

Pseudo Self-Consistent Estimation of a Copula Model with Informative Censoring

Abstract.  We consider the case where a terminal event censors a non-terminal event, but not vice versa. When the events are dependent, estimation of the distribution of the non-terminal event is a competing risks problem, while estimation of the distribution of the terminal event is not. The dependence structure of the event times is formulated with the gamma frailty copula on the upper wedge, with the marginal distributions unspecified. With a consistent estimator of the association parameter, pseudo self-consistency equations are derived and adapted to the semiparametric model. Existence, uniform consistency and weak convergence of the new estimator for the marginal distribution of the non-terminal event is established using theories of empirical processes, U -statistics and Z -estimation. The potential practical utility of the methodology is illustrated with simulated and real data sets.     

BAYESIAN HIDDEN MARKOV MODELS FOR LONGITUDINAL COUNTS

This paper describes a Bayesian approach to modelling carcinogenity in animal studies where the data consist of counts of the number of tumours present over time. It compares two autoregressive hidden Markov models. One of them models the transitions between three latent states: an inactive transient state, a multiplying state for increasing counts and a reducing state for decreasing counts. The second model introduces a fourth tied state to describe non‐zero observations that are neither increasing nor decreasing. Both these models can model the length of stay upon entry of a state. A discrete constant hazards waiting time distribution is used to model the time to onset of tumour growth. Our models describe between‐animal‐variability by a single hierarchy of random effects and the within‐animal variation by first‐order serial dependence. They can be extended to higher‐order serial dependence and multi‐level hierarchies. Analysis of data from animal experiments comparing the influence of two genes leads to conclusions that differ from those of Dunson (2000). The observed data likelihood defines an information criterion to assess the predictive properties of the three‐ and four‐state models. The deviance information criterion is appropriately defined for discrete parameters.     

精品课程建设中教材编写的创新思路探索——普通高等教育《土壤学》(“十五”国家级规划)教材的编写体会与实践

作者结合北京市精品课程建设,在组织编写普通高等教育“十五”国家级规划教材《土壤学》的过程中,认为首先应明确教材编写的指导思想,即在课程教材体系上有所创新,在课程教材内容上有所更新,在教学方法和手段上有所革新。同时在贯彻适用性和特色两个原则的基础上,进行了一些编写思路的探索和创新实践,这包括摸清读者底细、确定专业目标、把握课程内涵、了解市场需求,及正确处理好理论与应用、深度与广度、难度与易度、传统与创新、利教与利学、知识传授与技能培养的关系。通过以上步骤,保证了教材的先进性、系统性和特色,并实现了网络教学。     

提高理科基地生毕业论文质量的实践与思考

毕业论文是本科教育的重要环节,是实现本科人才培养目标的必由之路。近年来,由于受到诸多因素的影响,本科生毕业论文环节中暴露出许多问题,毕业论文的整体质量呈现下降的趋势。北京林业大学理科(生物学)基地通过几年的不断探索,在提高本科生毕业论文质量、培养创新人才方面积累了一定的经验,对促进和深化学校本科教育教学改革,提高本科人才培养质量具有积极的示范作用。     

Fertility Changes Among Immigrants: Generations,Neighborhoods, and Personal Characteristics*

Objective. To understand how adaptation/assimilation, disruption, and diffusion interact to produce changes in fertility levels among successive generations of Mexicans and Central Americans in the United States. Method. Using restricted access data that link individual data (CPS) to neighborhood data (census tracts), we examine the role of generation, personal characteristics, and neighborhood characteristics in determining children ever born (CEB). Results. There are significant differences in fertility across generations and, to a lesser extent, between women who live in ethnic enclaves and those who do not. Once personal characteristics are considered, the independent effect of generation on fertility is nearly eliminated. Personal characteristics dominate neighborhood characteristics in their ability to predict fertility. The most consistent predictor of CEB at the neighborhood level is the percentage of Hispanic adults. Conclusions. Personal characteristics dominate fertility change across generation, and were it not for increases in educational attainment, fertility might be higher in successive generations rather than lower or unchanged.     

Bayesian palaeoclimate reconstruction

Summary.  We consider the problem of reconstructing prehistoric climates by using fossil data that have been extracted from lake sediment cores. Such reconstructions promise to provide one of the few ways to validate modern models of climate change. A hierarchical Bayesian modelling approach is presented and its use, inversely, is demonstrated in a relatively small but statistically challenging exercise: the reconstruction of prehistoric climate at Glendalough in Ireland from fossil pollen. This computationally intensive method extends current approaches by explicitly modelling uncertainty and reconstructing entire climate histories. The statistical issues that are raised relate to the use of compositional data (pollen) with covariates (climate) which are available at many modern sites but are missing for the fossil data. The compositional data arise as mixtures and the missing covariates have a temporal structure. Novel aspects of the analysis include a spatial process model for compositional data, local modelling of lattice data, the use, as a prior, of a random walk with long-tailed increments, a two-stage implementation of the Markov chain Monte Carlo approach and a fast approximate procedure for cross-validation in inverse problems. We present some details, contrasting its reconstructions with those which have been generated by a method in use in the palaeoclimatology literature. We suggest that the method provides a basis for resolving important challenging issues in palaeoclimate research. We draw attention to several challenging statistical issues that need to be overcome.     

Multivariate Life Testing in Variably Scaled Environments

This paper examines modeling and inference questions for experiments in which different subsets of a set of k possibly dependent components are tested in r different environments. In each environment, the failure times of the set of components on test is assumed to be governed by a particular type of multivariate exponential (MVE) distribution. For any given component tested in several environments, it is assumed that its marginal failure rate varies from one environment to another via a change of scale between the environments, resulting in a joint MVE model which links in a natural way the applicable MVE distributions describing component behavior in each fixed environment. This study thus extends the work of Proschan and Sullo (1976) to multiple environments and the work of Kvam and Samaniego (1993) to dependent data. The problem of estimating model parameters via the method of maximum likelihood is examined in detail. First, necessary and sufficient conditions for the identifiability of model parameters are established. We then treat the derivation of the MLE via a numerically-augmented application of the EM algorithm. The feasibility of the estimation method is demonstrated in an example in which the likelihood ratio test of the hypothesis of equal component failure rates within any given environment is carried out.     

Brief admission program. An alliance of inpatient care and outpatient case management

1. Brief planned and crisis admissions to an inpatient psychiatric unit are presented as a component supportive of outpatient care and case management for chronically mentally ill patients. 2. Typical patients admitted to this inpatient short-term program are those experiencing a life stress or temporary crisis; chronically mentally ill patients who cycle and experience exacerbations of their illness; and those who need to make the transition from an acute inpatient unit to community living. 3. The Brief Admission Program treats the individual's response to and the consequences of a lifelong illness and enables the patient to return to his previous level of functioning and continue necessary outpatient treatment.