Books about Theoretic from Amazon.com

Winner of the 2004 DeGroot Prize

The DeGroot Prize is awarded every two years by the International Society

for Bayesian Analysis in recognition of an important, timely, thorough and

notably original contribution to the statistics literature.

This graduate-level textbook presents an introduction to Bayesian statistics and decision theory. Its scope covers both the basic ideas of statistical theory, and also some of the more modern and advanced topics of Bayesian statistics such as complete class theorems, the Stein effect, Bayesian model choice, hierarchical and empirical Bayes modeling, Monte Carlo integration, including Gibbs sampling and other MCMC techniques.
The second edition includes a new chapter on model choice (Chapter 7) and the chapter on Bayesian calculations (6) has been extensively revised. Chapter 4 includes a new section on dynamic models. In Chapter 3, the material on noninformative priors has been expanded, and Chapter 10 has been supplemented with more examples. The Bayesian Choice will be suitable as a text for courses on Bayesian analysis, decision theory or a combination of them.
.
Price: $39.46 [Notify me when price goes down.]

Measure, Integral and Probability is a gentle introduction that makes measure and integration theory accessible to the average third-year undergraduate student. The ideas are developed at an easy pace in a form that is suitable for self-study, with an emphasis on clear explanations and concrete examples rather than abstract theory. For this second edition, the text has been thoroughly revised and expanded. New features include: · a substantial new chapter, featuring a constructive proof of the Radon-Nikodym theorem, an analysis of the structure of Lebesgue-Stieltjes measures, the Hahn-Jordan decomposition, and a brief introduction to martingales · key aspects of financial modelling, including the Black-Scholes formula, discussed briefly from a measure-theoretical perspective to help the reader understand the underlying mathematical framework. In addition, further exercises and examples are provided to encourage the reader to become directly involved with the material..
Price: $27.65 [Notify me when price goes down.]

The formation of coalitions to achieve both collaborative and competitive goals is a phenomenon we see all around us. The list is long and varied: production cartels, political lobbies, customs unions, environmental coalitions, and ethnic alliances are just a few everyday instances. Drawing upon and extending his inaugural Lipsey Lectures at the University of Essex, Debraj Ray looks at coalition formation from the perspective of game theory. How are agreements determined? Which coalitions will form? And are such agreements invariably efficient from a social perspective?
Ray brings together developments in both cooperative and noncooperative game theory to study the analytics of coalition formation and binding agreements. This book concentrates on pure theory, but discusses several potential applications, such as oligopoly and the provision of public goods..
Price: $41.82 [Notify me when price goes down.]

This exciting and pioneering new overview of multiagent systems, which are online systems composed of multiple interacting intelligent agents, i.e., online trading, offers a newly seen computer science perspective on multiagent systems, while integrating ideas from operations research, game theory, economics, logic, and even philosophy and linguistics. The authors emphasize foundations to create a broad and rigorous treatment of their subject, with thorough presentations of distributed problem solving, game theory, multiagent communication and learning, social choice, mechanism design, auctions, cooperative game theory, and modal logics of knowledge and belief. For each topic, basic concepts are introduced, examples are given, proofs of key results are offered, and algorithmic considerations are examined. An appendix covers background material in probability theory, classical logic, Markov decision processes and mathematical programming. Written by two of the leading researchers of this engaging field, this book will surely serve as THE reference for researchers in the fastest-growing area of computer science, and be used as a text for advanced undergraduate or graduate courses..
Price: $60.00 [Notify me when price goes down.]

This is the first textbook that approaches natural language semantics and logic from the perspective of Discourse Representation Theory, an approach which emphasizes the dynamic and incremental aspects of meaning and inference.
The book has been carefully designed for the classroom. It is aimed at students with varying degrees of preparation, including those without prior exposure to semantics or formal logic. Moreover, it should make DRT easily accessible to those who want to learn about the theory on their own.
Exercises are available to test understanding as well as to encourage independent theoretical thought.
The book serves a double purpose. Besides a textbook, it is also the first comprehensive and fully explicit statement of DRT available in the form of a book.
The first part of the book develops the basic principles of DRT for a small fragment of English (but which has nevertheless the power of standard predicate logic). The second part extends this fragment by adding plurals; it discusses a wide variety of problems connected with plural nouns and verbs. The third part applies the theory to the analysis of tense and aspect. Many of the problems raised in Parts Two and Three are novel, as are the solutions proposed.
For undergraduate and graduate students interested in linguistics, theoretical linguistics, computational linguistics, artificial intelligence and cognitive science. Suitable for students with no previous exposure to formal semantics or logic.
.
Price: $30.17 [Notify me when price goes down.]

The second edition of this book is unique in that it focuses on methods for making formal statistical inference from all the models in an a priori set (Multi-Model Inference). A philosophy is presented for model-based data analysis and a general strategy outlined for the analysis of empirical data. The book invites increased attention on a priori science hypotheses and modeling. Kullback-Leibler Information represents a fundamental quantity in science and is Hirotugu Akaike's basis for model selection. The maximized log-likelihood function can be bias-corrected as an estimator of expected, relative Kullback-Leibler information. This leads to Akaike's Information Criterion (AIC) and various extensions. These methods are relatively simple and easy to use in practice, but based on deep statistical theory. The information theoretic approaches provide a unified and rigorous theory, an extension of likelihood theory, an important application of information theory, and are objective and practical to employ across a very wide class of empirical problems. The book presents several new ways to incorporate model selection uncertainty into parameter estimates and estimates of precision. An array of challenging examples is given to illustrate various technical issues. This is an applied book written primarily for biologists and statisticians wanting to make inferences from multiple models and is suitable as a graduate text or as a reference for professional analysts..
Price: $71.28 [Notify me when price goes down.]

1816. Containing the substance of all that has been written on this subject by Theo of Smyrna, Nicomachus, Iamblichus, and Boetius. Together with some remarkable particulars respecting perfect, amicable, and other number, which are not to be found in the writings of any ancient or modern mathematicians. Likewise, a specimen of the manner in which the Pythagoreans philosophized about number; and a development of their mystical and theological arithmetic..
Price: $27.50 [Notify me when price goes down.]

Two-sided matching provides a model of search processes such as those between firms and workers in labor markets or between buyers and sellers in auctions. This book gives a comprehensive account of recent results concerning the game-theoretic analysis of two-sided matching. The focus of the book is on the stability of outcomes, on the incentives that different rules of organization give to agents, and on the constraints that these incentives impose on the ways such markets can be organized. The results for this wide range of related models and matching situations help clarify which conclusions depend on particular modeling assumptions and market conditions, and which are robust over a wide range of conditions..
Price: $18.53 [Notify me when price goes down.]