Applied Mathematical Statistics: Foundations of Statistical Theory for Science and Engineering Disciplines

"Applied Mathematical Statistics" is a comprehensive textbook co-authored by Guangbao Guo and Guoqi Qian. It is designed to provide undergraduate and graduate students in mathematics, statistics, engineering, and data science with a solid foundation in both theoretical concepts and practical applications of statistics. The book is meticulously structured, with chapters progressively building on each other, starting from basic mathematical facts and advancing to sophisticated statistical methodologies. Topics covered include expectation, common families of distributions, multiple random variables, properties of a random sample, principles of data reduction, estimation, hypothesis testing, confidence intervals, and statistical evaluations. A hallmark of this book is its methodical organization and depth of content, guiding readers from fundamental principles to advanced applications. Each chapter is equipped with detailed theoretical explanations, illustrative examples, and a wealth of exercises to reinforce learning. Additionally, the book offers comprehensive solutions to exercises from the first ten chapters, ensuring that readers can thoroughly grasp and apply statistical principles. "Applied Mathematical Statistics" is not only an excellent learning resource for students but also a valuable reference for researchers and professionals looking to enhance their statistical skills. The book's blend of in-depth theoretical exploration and practical application makes it a definitive text in the field of statistics.