Mathematical Statistics: A Decision Theoretic Approach presents an investigation of the extent to which problems of mathematical statistics may be treated by decision theory approach. This book deals with statistical theory that could be justified from a decision-theoretic viewpoint. Organized into seven chapters, this book begins with an overview of the elements of decision theory that are similar to those of the theory of games. This text then examines the main theorems of decision theory that involve two more notions, namely the admissibility of a decision rule and the completeness of a class of decision rules. Other chapters consider the development of theorems in decision theory that are valid in general situations. This book discusses as well the invariance principle that involves groups of transformations over the three spaces around which decision theory is built. The final chapter deals with sequential decision problems. This book is a valuable resource for first-year graduate students in mathematics.
Game theory is a fascinating subject. We all know many entertaining games, such as chess, poker, tic-tac-toe, bridge, baseball, computer games — the list is quite varied and almost endless. In addition, there is a vast area of economic games, discussed in Myerson (1991) and Kreps (1990), and the related political games [Ordeshook (1986), Shubik (1982), and Taylor (1995)]. The competition between firms, the conflict between management and labor, the fight to get bills through congress, the power of the judiciary, war and peace negotiations between countries, and so on, all provide examples of games in action. There are also psychological games played on a personal level, where the weapons are words, and the payoffs are good or bad feelings [Berne (1964)]. There are biological games, the competition between species, where natural selection can be modeled as a game played between genes [Smith (1982)]. There is a connection between game theory and the mathematical areas of logic and computer science. One may view theoretical statistics as a two-person game in which nature takes the role of one of the players, as in Blackwell and Girshick (1954) and Ferguson (1968).Games are characterized by a number of players or decision makers who interact, possibly threaten each other and form coalitions, take actions under uncertain conditions, and finally receive some benefit or reward or possibly some punishment or monetary loss. In this text, we present various mathematical models of games and study the phenomena that arise. In some cases, we will be able to suggest what courses of action should be taken by the players. In others, we hope simply to be able to understand what is happening in order to make better predictions about the future.
Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference Held June 21-27, 1990, with Support from the National Science Foundation, the National Security Agency, and the Office of Naval Research
Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference Held June 21-27, 1990, with Support from the National Science Foundation, the National Security Agency, and the Office of Naval Research
This volume contains the proceedings of the MS-IMS-SIAM Joint Summer Research Conference on Strategies for Sequential Search and Selection in Real Time, held in June 1990 at the University of Massachusetts at Amherst. The conference focused on problems related to sequential observation of random variables and selection of actions in real time. This book will provide readers with a feeling for the breadth and depth of contemporary research in these areas.
A Course in Large Sample Theory is presented in four parts. The first treats basic probabilistic notions, the second features the basic statistical tools for expanding the theory, the third contains special topics as applications of the general theory, and the fourth covers more standard statistical topics. Nearly all topics are covered in their multivariate setting.The book is intended as a first year graduate course in large sample theory for statisticians. It has been used by graduate students in statistics, biostatistics, mathematics, and related fields. Throughout the book there are many examples and exercises with solutions. It is an ideal text for self study.
This volume of Progress in Heterocyclic Chemistry (PHC) is the twelfth annual review of the literature, covering the work published on most of the important heterocyclic ring systems during 1999, with inclusions of earlier material as appropriate. As in PHC-11, there are also three specialized reviews in this year's volume. In the inaugural chapter, Michael Groziak revitalizes the field of boron heterocycles, a relatively obscure class of heterocycles, but with a promising future. Heterocyclic phosphorus ylides are similarly a little known but useful class of compounds and Alan Aitken and Tracy Massil have provided a comprehensive review of them in Chapter 2. In Chapter 3 Jack Li discusses the remarkably versatile palladium chemistry in pyridine alkaloid synthesis. The subsequent chapters deal with recent advances in the field of heterocyclic chemistry arranged by increasing ring size and with emphasis on synthesis and reactions.
Most of the 26 papers are research reports on probability, statistics, gambling, game theory, Markov decision processes, set theory, and logic. But they also include reviews on comparing experiments, games of timing, merging opinions, associated memory models, and SPLIF's; historical views of Carnap, von Mises, and the Berkeley Statistics Department; and a brief history, appreciation, and bibliography of Berkeley professor Blackwell. A sampling of titles turns up The Hamiltonian Cycle Problem and Singularly Perturbed Markov Decision Process, A Pathwise Approach to Dynkin Games, The Redistribution of Velocity: Collision and Transformations, Casino Winnings at Blackjack, and Randomness and the Foundations of Probability. No index. Annotation copyrighted by Book News, Inc., Portland, OR
The Textbook of Influenza is a comprehensive resource covering all aspects of influenza, from the genetic and molecular biology of the virus through to clinical aspects of the disease and the latest drug developments and treatments. This new edition has been completely revised and reflects the integration of disciplines concerning the emergence, evolution, pathogenesis and control of influenza viruses in the field of human and veterinary public health. Textbook of Influenza examines the lessons learnt from the latest pandemic and provides the current state of knowledge for many yet unresolved issues related to virus origin, spread, pathogenesis and disease severity to better prepare for future pandemics. It covers the background to recent advances in influenza genomics and reverse genetics which have allowed the identification of virus virulence factors and the analysis and reconstruction of influenza viruses such as the 1918 Spanish flu strain. This new edition is divided into eight key sections, containing chapters co-written by international experts from both the clinical and scientific communities, covering: • Influenza Perspectives • Structure and Replication • Evolution and Ecology • Epidemiology and Surveillance • Immunology • Vaccines and Vaccine Development • Clinical Aspects and Antivirals • Public Health Textbook of Influenza is for all those working in the area of influenza including clinical and basic scientists, immunologists, molecular and structural virologists, public health officials and global pandemic control planners.
The best historical study....that we have of American economic growth between independence and the Civil War....Deserves to be widely used in survey courses....ideal for courses in social and economic history, both undergraduate and graduate."--The American Historical Review. Drawing on recent studies in the history of technology, this groundbreaking work offers a new view of the Industrial Revolution in America. The author, an authority on the history of business and the economy, sees industrialization as a culturally inspired change.
This book speaks to the millions of parents and teachers with children who are having difficulty in school. The author shows how to perceive children as individuals with distinct learning styles (linguistic, kinetic, interpersonal, etc.) and how take full advantage of their hidden aptitudes.
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