2009 Workshop on Semiparametric methodology

半参数方法仍然是一个活跃的研究领域，特别是随着计算资源和计算能力的增长。这些方法用于包含参数组件和非参数组件的模型的推理。在这种设置下的工作范围从半参数建模和效率到半参数回归。前者涉及到在无穷维扰动参数存在的情况下进行有效的推断。后者对应于具有参数误差和未指定(非参数)回归函数的回归模型。在高维缺失数据问题中，无论是在频率和贝叶斯推理的设定方面，还是在估计回归函数方面，在许多不同的应用领域都存在复杂的问题，还需要做一些基础性的工作。研讨会汇集了半参数方法学领域的领军人物和年轻的研究人员。受邀的演讲者都是非常杰出的人，他们在半参数学方面做出了杰出的工作，并与人合著了三篇论文。不需要太多假设的灵活建模是解决许多科学问题的重要组成部分。半参数方法是实现这一点的一种方法。在过去的三十年里已经取得了很大的进展，但在数据不完整的高维问题中，在估计回归函数方面，在许多不同的应用领域和其他领域中，仍然需要做一些基础性的工作。这类工作的应用范围很广，包括环境应用中的时空模型、捕获-再捕获模型和测量误差模型，遗传和基因组学中的分类和测试，以及纵向观察研究和临床试验中的缺失数据模型。研讨会提供了一个极好的机会来讨论半参数方法的许多最新重大发展，并确定重要的问题和新的研究方向。

Semiparametric methods continue to be an active research area,especially as computing resources and power grow. These methods are usedfor inference in models with both parametric and nonparametriccomponents. Work in this setting ranges from semiparametric modeling andefficiency to semiparametric regression. The former involves makingefficient inferences in the presence of infinite dimensional nuisanceparameters. The latter corresponds to regression models with parametricerrors and unspecified (nonparametric) regression functions. Fundamentalwork remains to be done in high dimensional missing data problems, bothin the setting of frequentist and Bayesian inference and in estimatingregression functions with the complications posed in many differentareas of application. The workshop brings together leaders in the fieldof semiparametric methodology and young researchers. The invitedspeakers all are very distinguished individuals who have doneoutstanding work in semiparametrics and have co-authored three of theseminal texts. Flexible modeling with few assumptions is an integral component ofsolving many scientific problems. Semiparametric methods are a way toaccomplish this. Major advances have been made in the past thirty years.However, fundamental work remains to be done in high dimensionalproblems with incomplete data, in estimating regression functions withthe complications posed in many different areas of application, amongother areas. Applications for such work are wide ranging and includespatio-temporal models, capture-recapture models, and measurement errormodels in environmental applications, classification and testing in ingenetics and genomics, and missing data models in longitudinalobservational studies and clinical trials. The workshop provides anexcellent opportunity to discuss the many recent significantdevelopments in semiparametric methodology and to identify importantproblems and new research directions.