Mathematical Sciences: Studies in Theoretical Statistics

本项目的重点是研究从共同分布的I.I.D变量估计有限维或无限维参数的情况，并应用自适应和有效估计的广义理论。具体的应用包括软件可靠性和现场测试的推断、形状限制下的响应函数、基因图谱程序和分子生物学中的相似性指数的构建。这个项目将采用一些非常一般的理论结果，并针对在特定情况下看到的特殊复杂性进行提炼。

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.