A course in mathematical statistics and large sample theory

摘要

Researchers, mathematicians, and statisticians at the University of Arizona, the University of Notre Dame, and Florida State University are the authors of this book. It is clearly the result of the long-term collection of rich educational material containing both traditional and recent topics. It deals with advanced statistical theory with a special focus on statistical inference and large sample theory, aiming to cover the material for a modern two-semester graduate course in mathematical statistics. Although the area of mathematical statistics has a very long history in publication and many fine books exist, a new textbook that brings a fresh point of view to a comprehensive graduate course on the subject is always welcome. In this era of big data and data science, where researchers are focused on fast and efficient, usually black-box algorithms, such authoring efforts, aiming to promote the role of theoretical statistics in data analysis and inference, are praiseworthy.