This textbook provides a unified and self-contained presentation of the main approaches to and ideas of mathematical statistics.
It collects the basic mathematical ideas and tools needed as a basis for more serious study or even independent research in
statistics. The majority of existing textbooks in mathematical statistics follow the classical asymptotic framework. Yet,
as modern statistics has changed rapidly in recent years, new methods and approaches have appeared. The emphasis is on finite
sample behavior, large parameter dimensions, and model misspecifications. The present book provides a fully self-contained
introduction to the world of modern mathematical statistics, collecting the basic knowledge, concepts and findings needed
for doing further research in the modern theoretical and applied statistics. This textbook is primarily intended for graduate
and postdoc students and young researchers who are interested in modern statistical methods.