Mathematical Sciences: Complexity and Information Based Criteria for Model Selection

这项研究将处理信息的属性， 用于模型选择。 新的信息标准已经 处理多个数据集的情况和/或 具有相同尺寸的模型。 这项研究将 扩展这些标准的最新结果，特别是将 建立渐近性质。 本研究将涉及统计模型的选择。 的 一般来说，选择最好的， 模型来拟合一组候选模型中的数据集。 问题 感兴趣的问题包括过拟合和选择 回归中的变量

This research will deal with the properties of information as used in model selection. New information criteria have been developed which deal with situations of multiple data sets and/or with models which may have the same dimension. This research will expand on recent results for these criteria, and in particular will establish asymptotic properties. This research will deal with statistical model selection. The area, generally speaking, is concerned with the choice of the best model to fit a dat set among a set of candidate models. Issues of interest include problems of overfitting and the selection of variables in regression.