How To Gamble If You Must Inequalities For Stochastic Processes By Lester E Dubins And Leonard J Savage
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How To Gamble If You Must
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Author : Lester E. Dubins
language : en
Publisher: Courier Corporation
Release Date : 2014-08-20
How To Gamble If You Must written by Lester E. Dubins and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-20 with Mathematics categories.
This classic of advanced statistics is geared toward graduate-level readers and uses the concepts of gambling to develop important ideas in probability theory. The authors have distilled the essence of many years' research into a dozen concise chapters. "Strongly recommended" by the Journal of the American Statistical Association upon its initial publication, this revised and updated edition features contributions from two well-known statisticians that include a new Preface, updated references, and findings from recent research. Following an introductory chapter, the book formulates the gambler's problem and discusses gambling strategies. Succeeding chapters explore the properties associated with casinos and certain measures of subfairness. Concluding chapters relate the scope of the gambler's problems to more general mathematical ideas, including dynamic programming, Bayesian statistics, and stochastic processes. Dover (2014) revised and updated republication of the 1976 Dover edition entitled Inequalities for Stochastic Processes. See every Dover book in print at www.doverpublications.com
How To Gamble If You Must Inequalities For Stochastic Processes By Lester E Dubins And Leonard J Savage
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Author : Lester E Dubins
language : en
Publisher:
Release Date :
How To Gamble If You Must Inequalities For Stochastic Processes By Lester E Dubins And Leonard J Savage written by Lester E Dubins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Gambling categories.
The Foundations Of Statistics
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Author : Leonard J. Savage
language : en
Publisher: Courier Corporation
Release Date : 2012-08-29
The Foundations Of Statistics written by Leonard J. Savage and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-29 with Mathematics categories.
Classic analysis of the foundations of statistics and development of personal probability, one of the greatest controversies in modern statistical thought. Revised edition. Calculus, probability, statistics, and Boolean algebra are recommended.
The Doctrine Of Chances
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Author : Stewart N. Ethier
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-19
The Doctrine Of Chances written by Stewart N. Ethier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-19 with Mathematics categories.
Three centuries ago Montmort and De Moivre published two books on probability theory emphasizing its most important application at that time, games of chance. This book, on the probabilistic aspects of gambling, is a modern version of those classics.
Bet Smart The Kelly System For Gambling And Investing
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Author :
language : en
Publisher: Abrazol Publishing
Release Date :
Bet Smart The Kelly System For Gambling And Investing written by and has been published by Abrazol Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Logic Of Discovery And Logic Of Discourse
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Author : Jaakko Hintikka
language : en
Publisher: Springer Science & Business Media
Release Date : 1985
Logic Of Discovery And Logic Of Discourse written by Jaakko Hintikka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Language Arts & Disciplines categories.
Inquiry As Inquiry A Logic Of Scientific Discovery
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Author : Jaakko Hintikka
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Inquiry As Inquiry A Logic Of Scientific Discovery written by Jaakko Hintikka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
Is a genuine logic of scientific discovery possible? In the essays collected here, Hintikka not only defends an affirmative answer; he also outlines such a logic. It is the logic of questions and answers. Thus inquiry in the sense of knowledge-seeking becomes inquiry in the sense of interrogation. Using this new logic, Hintikka establishes a result that will undoubtedly be considered the fundamental theorem of all epistemology, viz., the virtual identity of optimal strategies of pure discovery with optimal deductive strategies. Questions to Nature, of course, must include observations and experiments. Hintikka shows, in fact, how the logic of experimental inquiry can be understood from the interrogative vantage point. Other important topics examined include induction (in a forgotten sense that has nevertheless played a role in science), explanation, the incommensurability of theories, theory-ladenness of observations, and identifiability.
A Course In Game Theory
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Author : Thomas S Ferguson
language : en
Publisher: World Scientific
Release Date : 2020-07-20
A Course In Game Theory written by Thomas S Ferguson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-20 with Mathematics categories.
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.
Discrete Gambling And Stochastic Games
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Author : Ashok P. Maitra
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Discrete Gambling And Stochastic Games written by Ashok P. Maitra and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The theory of probability began in the seventeenth century with attempts to calculate the odds of winning in certain games of chance. However, it was not until the middle of the twentieth century that mathematicians de veloped general techniques for maximizing the chances of beating a casino or winning against an intelligent opponent. These methods of finding op timal strategies for a player are at the heart of the modern theories of stochastic control and stochastic games. There are numerous applications to engineering and the social sciences, but the liveliest intuition still comes from gambling. The now classic work How to Gamble If You Must: Inequalities for Stochastic Processes by Dubins and Savage (1965) uses gambling termi nology and examples to develop an elegant, deep, and quite general theory of discrete-time stochastic control. A gambler "controls" the stochastic pro cess of his or her successive fortunes by choosing which games to play and what bets to make.
Exploiting Environment Configurability In Reinforcement Learning
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Author : A.M. Metelli
language : en
Publisher: IOS Press
Release Date : 2022-12-07
Exploiting Environment Configurability In Reinforcement Learning written by A.M. Metelli and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-07 with Computers categories.
In recent decades, Reinforcement Learning (RL) has emerged as an effective approach to address complex control tasks. In a Markov Decision Process (MDP), the framework typically used, the environment is assumed to be a fixed entity that cannot be altered externally. There are, however, several real-world scenarios in which the environment can be modified to a limited extent. This book, Exploiting Environment Configurability in Reinforcement Learning, aims to formalize and study diverse aspects of environment configuration. In a traditional MDP, the agent perceives the state of the environment and performs actions. As a consequence, the environment transitions to a new state and generates a reward signal. The goal of the agent consists of learning a policy, i.e., a prescription of actions that maximize the long-term reward. Although environment configuration arises quite often in real applications, the topic is very little explored in the literature. The contributions in the book are theoretical, algorithmic, and experimental and can be broadly subdivided into three parts. The first part introduces the novel formalism of Configurable Markov Decision Processes (Conf-MDPs) to model the configuration opportunities offered by the environment. The second part of the book focuses on the cooperative Conf-MDP setting and investigates the problem of finding an agent policy and an environment configuration that jointly optimize the long-term reward. The third part addresses two specific applications of the Conf-MDP framework: policy space identification and control frequency adaptation. The book will be of interest to all those using RL as part of their work.