Statistical Decision Theory

• Main Authors: Liese, F., Miescke, Klaus-J.
• Format: Book
• Language: English
• Published: Springer 2017
• Subjects: Mathematics; Statistics; 519.5
• Online Access: http://repository.vnu.edu.vn/handle/VNU_123/31295
• Institution: Vietnam National University, Hanoi

This monograph is written for advanced graduate students, Ph.D. students, and researchers in mathematical statistics and decision theory. All major topics are introduced on a fairly elementary level and then developed gradually to higher levels. The book is self-contained as it provides full proofs, worked-out examples, and problems. It can be used as a basis for graduate courses, seminars, Ph.D. programs, self-studies, and as a reference book. The authors present a rigorous account of the concepts and a broad treatment of the major results of classical finite sample size decision theory and modern asymptotic decision theory. Highlights are systematic applications to the fields of parameter estimation, testing hypotheses, and selection of populations. With its broad coverage of decision theory that includes results from other more specialized books as well as new material, this book is one of a kind and fills the gap between standard graduate texts in mathematical statistics and advanced monographs on modern asymptotic theory.