Statistics is the science that focuses on drawing conclusions from
data, by modeling and analyzing the data using probabilistic
models. In An Introduction to Mathematical Statistics the authors
describe key concepts from statistics and give a mathematical basis
for important statistical methods. Much attention is paid to the
sound application of those methods to data. The three main topics
in statistics are estimators, tests, and confidence regions. The
authors illustrate these in many examples, with a separate chapter
on regression models, including linear regression and analysis of
variance. They also discuss the optimality of estimators and tests,
as well as the selection of the best-fitting model. Each chapter
ends with a case study in which the described statistical methods
are applied. This book assumes a basic knowledge of probability
theory, calculus, and linear algebra. Several annexes are available
for Mathematical Statistics on this page.
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