Title
Theory Of Games And Statistical Decisions (Dover Books On Mathematics)
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Evaluating Statistical Procedures Through Decision And Game Theory, As First Proposed By Neyman And Pearson And Extended By Wald, Is The Goal Of This Problemoriented Text In Mathematical Statistics. Firstyear Graduate Students In Statistics And Other Students With A Background In Statistical Theory And Advanced Calculus Will Find A Rigorous, Thorough Presentation Of Statistical Decision Theory Treated As A Special Case Of Game Theory.The Work Of Borel, Von Neumann, And Morgenstern In Game Theory, Of Prime Importance To Decision Theory, Is Covered In Its Relevant Aspects: Reduction Of Games To Normal Forms, The Minimax Theorem, And The Utility Theorem. With This Introduction, Blackwell And Professor Girshick Look At: Values And Optimal Strategies In Games; General Structure Of Statistical Games; Utility And Principles Of Choice; Classes Of Optimal Strategies; Fixed Samplesize Games With Finite O And With Finite A; Sufficient Statistics And The Invariance Principle; Sequential Games; Bayes And Minimax Sequential Procedures; Estimation; And Comparison Of Experiments.A Few Topics Not Directly Applicable To Statistics, Such As Perfect Information Theory, Are Also Discussed. Prerequisites For Full Understanding Of The Procedures In This Book Include Knowledge Of Elementary Analysis, And Some Familiarity With Matrices, Determinants, And Linear Dependence. For Purposes Of Formal Development, Only Discrete Distributions Are Used, Though Continuous Distributions Are Employed As Illustrations.The Number And Variety Of Problems Presented Will Be Welcomed By All Students, Computer Experts, And Others Using Statistics And Game Theory. This Comprehensive And Sophisticated Introduction Remains One Of The Strongest And Most Useful Approaches To A Field Which Today Touches Areas As Diverse As Gambling And Particle Physics.
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- Q: What is the binding type of this book? A: This book has a paperback binding. Paperback bindings are flexible and lightweight, making them easy to carry and read.
- Q: How many pages does the book have? A: The book contains three hundred eighty-four pages. This length provides ample content for a thorough understanding of game theory and statistical decisions.
- Q: What are the dimensions of the book? A: The book measures five point seventy-five inches in length, zero point seventy-five inches in width, and eight point twenty-seven inches in height. These dimensions make it a standard size for easy handling.
- Q: Who is the author of this book? A: The author of this book is David A. Blackwell. He is known for his contributions to statistical decision theory and game theory.
- Q: What academic background is needed to understand this book? A: A strong background in statistical theory and advanced calculus is recommended. This preparation will help readers grasp the rigorous concepts presented in the book.
- Q: Is this book suitable for beginners in statistics? A: No, this book is not suitable for beginners. It is designed for first-year graduate students in statistics who already have foundational knowledge.
- Q: What topics does the book cover? A: The book covers various topics including values and optimal strategies in games, utility principles, and statistical decision theory. These topics are essential for understanding the intersection of game theory and statistics.
- Q: How can I use this book for my studies? A: You can use this book as a textbook for graduate-level courses in statistical decision theory or game theory. It is also a valuable resource for self-study.
- Q: Are there any prerequisites for reading this book? A: Yes, knowledge of elementary analysis and some familiarity with matrices and linear dependence is necessary. These prerequisites will aid in understanding the book's content.
- Q: What is the main focus of this book? A: The main focus of this book is evaluating statistical procedures through decision and game theory. It aims to apply these theories to real-world statistical problems.
- Q: How should I care for this book? A: Keep the book in a dry environment to prevent moisture damage. Avoid bending the spine to maintain its condition over time.
- Q: Can this book be used for reference in research? A: Yes, this book can be a valuable reference for research in game theory and statistical decision-making. Its comprehensive coverage makes it suitable for academic inquiries.
- Q: What makes this book stand out in its field? A: This book stands out due to its thorough treatment of statistical decision theory as a special case of game theory. Its rigorous approach and problem variety are highly regarded.
- Q: Is the book relevant for professionals in statistics? A: Yes, this book is relevant for professionals in statistics and game theory. It provides insights that can enhance practical applications in these fields.
- Q: What is the publication year of this book? A: The book was published as part of Dover's series on mathematics, though the specific publication year is not provided in the details. It is part of a respected series.
- Q: Does the book include exercises or problems? A: Yes, the book includes a variety of problems and exercises. These problems are designed to reinforce the concepts discussed and aid in comprehension.