Mathematical Sciences: CBMS Reg Conf -Semiparametic MixturesModels: Theory and Methods with Applications in Empirical Bayes, Measurements Error and Random Effects Models - May 93

近年来，人们对基于非参数混合分布的混合模型进行了大量的研究，也称为半参数混合模型。应用范围从临床试验、天文学和海洋生物学。在统计学中，半参数混合模型的研究扩展到经验贝叶斯估计、测量误差模型和随机效应模型等领域。对这些问题和其他问题的深入了解，很大程度上得益于主讲人布鲁斯·林赛（Bruce Lindsay）的工作。Lindsay教授对混合概率几何的研究为解释、求解和表述混合分布模型提供了统一的方法。他的直观方法和几何见解使他成为NSF/CBMS会议上关于该主题的理想讲师。该项目将支持于1993年5月24日至28日在南卡罗莱纳大学校园举行的NSF-CBMS数学科学区域研究会议：半参数混合方法：理论和方法-在贝叶斯、测量误差和随机效应模型中的应用。宾夕法尼亚州立大学的布鲁斯·林赛教授将担任首席讲师。为了激发人们对数学研究的兴趣和活动，美国国家科学基金会每年都支持一些NSF-CBMS数学科学区域研究会议。每个为期五天的会议都有一位杰出的讲师，他就一个重要的数学科学领域的当前研究主题发表十次演讲。讲师随后根据这些讲座准备一篇说明性的专著，通常由美国数学学会或工业与应用数学学会出版，或由美国统计协会和数理统计研究所联合出版。这些会议的某些特点区别于典型的研究会议。这些是：(1)由一位领先的实践者专注于一个重要和及时的研究领域；(2)通过区域重点来持续影响和局部刺激；(3)对质量、广度和及时性进行小组审查；(4)为更广泛的受众出版专著。

Recently there has been substantial research on mixture models based on a nonparametric mixing distribution, also called semiparametric mixture models. Applications have ranged from clinical trials, astronomy and marine biology. Within statistics, research from semiparametric mixture models extends to empirical Bayes' estimation, measurement error models and random effects models, as well as other fields. Insights into these questions and others have been greatly aided by work done by the principal speaker, Bruce Lindsay. Professor Lindsay 's research on the geometry of mixture likelihoods has provided a unified approach for interpreting, solving and formulating models of mixed distributions. His intuitive approach and geometric insights make him an ideal lecturer for an NSF/CBMS conference on the subject. This project will support an NSF-CBMS Regional Research Conference in the Mathematical Sciences on Semiparametric Mixture Methods: Theory and Methods - With Applications in Bayes, Measurment Error, and Random Effects Models to be held May 24 - 28, 1993, on the campus of the University of South Carolina. Professor Bruce Lindsay of the Pennsylvania State University will be the principal lecturer. To stimulate interest and activity in mathematical research, the National Science Foundation each year supports a number of NSF-CBMS Regional Research Conferences in the Mathematical Sciences. Each five-day conference features a distinguished lecturer who delivers ten lectures on a topic on important current research in one sharply focused area of the mathematical sciences. The lecturer subsequently prepares an expository monograph based upon these lectures, which is normally published by the American Mathematical Society or the Society for Industrial and Applied Mathematics, or jointly by the American Statistical Association and the Institute of Mathematical Statistics. Certain features differentiate these conferences from typical research conferences. These are: (1) Focus on a single important and timely area of research by a leading practitioner, (2) Continued effect and local stimulation through regional emphasis, (3) Panel review for quality, breadth, and timeliness, and (4) Published monographs for a wider audience.