LibGuides: MDS5101 Theory of Statistics: Home

Course Description

This course teaches basic theory and methodologies for probability and statistical analysis. The course covers Random Variable and Probability Distribution; Sufficiency and Likelihood Principles of Data Reduction; Methods of Finding and Evaluating Point Estimators; Methods of Finding and Evaluating Hypothesis Tests; Methods of Finding and Evaluating Interval Estimators.

Recommended Books

Statistical Inference by George Casella; Roger L. Berger
ISBN: 9780534243128
Publication Date: 2001-06-18
This book builds theoretical statistics from the first principles of probability theory. Starting from the basics of probability, the authors develop the theory of statistical inference using techniques, definitions, and concepts that are statistical and are natural extensions and consequences of previous concepts.
All of Statistics by Larry A. Wasserman
ISBN: 0387402721
Publication Date: 2003-12-04
The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses.
Probability and Statistical Inference by Magdalena Niewiadomska-Bugaj; Robert Bartoszynski
ISBN: 1119243807
Publication Date: 2020-12-22
This book focuses on the development of intuition and understanding in the subject through a wealth of examples illustrating concepts, theorems, and methods. The reader will recognize and fully understand the why and not just the how behind the introduced material.

Recommended Databases

Librarian

Weiwei Yang