This textbook introduces the mathematical concepts and methods that underlie statistics. The course is unified, in the sense that

no prior knowledge of probability theory is assumed; this is developed as needed. The book is committed to a high level of

mathematical seriousness; and to an intimate connection with application. Modern methods, such as logistic regression, are

introduced; as are unjustly neglected clasical topics, such as elementary asymptotics. The book first develops elementary li