Theory of point estimation and hypothesis testing with applications. Confidence region methodologies and relations to estimation and testing.
A Course in Mathematical Statistics, Roussas, Academic Press, 2nd edition.
The core mathematical statistics topics of estimation, testing, and confidence intervals are covered. Following the core topics such modern topics as ranking and selection procedures, decision theory, nonparametric statistics, regression and ANOVA, and robust statistical procedures are covered. Computer-assisted data analysis is discussed at several points since it is very important for students of modern probability and mathematical statistics to have a comprehensive view that includes a glimpse of the importance of statistical computation to the field.
(Pasik-Duncan 2006 )