Mathematical Sciences: Studies in Theoretical Statistics

这个项目的重点是研究的情况下， 要估计有限维或无限维参数 从共同分布的i.i.d变量，并应用 广义自适应有效估计理论 具体应用包括软件可靠性的推断 和现场测试，形状限制下的响应函数， 基因定位程序和相似性的构建 分子生物学指标。 这个项目将采取一些非常普遍的理论结果 并将其提炼为特殊的复杂性， 情节

The focus of this project is to examine situations where finite- or infinite-dimensional parameters are to be estimated from i.i.d variables from a common distribution and to apply a generalized theory of adaptive and efficient estimation. Specific applications include inference for software reliability and field testing, response functions under shape restrictions, gene mapping procedures and the construction of similarity indices in molecular biology. This project will take some very general theoretical results and refine these for specialized complexities seen in particular circumstances.