Mathematical Sciences: Likelihood Type Methods in Parametricand Nonparametric Models

本研究的基本主题是为统计模型开发可能性和基于可能性的方法，在这些模型中，传统的可能性方法很难理解或已知失败。这些主题可分为几个主要类别。这些是半参数密度估计、混合估计和测试、复合似然、干扰参数和算法。这项研究属于统计学的一般范畴。它的目的是扩大可以严格分析的科学问题的范围。

This research has as its basic theme the development of likelihood and likelihood-based methods for statistical models in which conventional likelihood methods are poorly understood or are known to fail. The topics fall into several main categories. These are semiparametric density estimation, mixture estimation and testing, composite likelhood, nuisance parameters, and algorithms. This reseach in the general area of statistics. It aims to extend the scope of scientific problems that can rigorously analyzed.