This textbook provides a rigorous introduction to probability and mathematical statistics, with an emphasis on real-world applications in science, engineering, and economics. The book begins with the fundamentals of probability, random variables, and distributions, and builds up to statistical inference, including estimation, hypothesis testing, and regression. It balances theoretical derivatio…
This book presents a calculus-based introduction to mathematical statistics, emphasizing both the theory and practical applications of statistical methods. Topics include probability distributions, estimation, hypothesis testing, regression, and real-world applications relevant to science and engineering.