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Lectures On Contemporary Probability
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Book Synopsis Lectures on Contemporary Probability by : Gregory F. Lawler
Download or read book Lectures on Contemporary Probability written by Gregory F. Lawler and published by American Mathematical Soc.. This book was released on 1999 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on classes in probability for advanced undergraduates held at the IAS/Park City Mathematics Institute. It is derived from both lectures (Chapters 1-10) and computer simulations (Chapters 11-13) that were held during the program. The material is coordinated so that some of the major computer simulations relate to topics covered in the first ten chapters. The goal is to present topics that are accessible to advanced undergraduates, yet are areas of current research in probability. The combination of the lucid yet informal style of the lectures and the hands-on nature of the simulations allows readers to become familiar with some interesting and active areas of probability. The first four chapters discuss random walks and the continuous limit of random walks: Brownian motion. Chapters 5 and 6 consider the fascinating mathematics of card shuffles, including the notions of random walks on a symmetric group and the general idea of random permutations. Chapters 7 and 8 discuss Markov chains, beginning with a standard introduction to the theory. Chapter 8 addresses the recent important application of Markov chains to simulations of random systems on large finite sets: Markov Chain Monte Carlo. Random walks and electrical networks are covered in Chapter 9. Uniform spanning trees, as connected to probability and random walks, are treated in Chapter 10. The final three chapters of the book present simulations. Chapter 11 discusses simulations for random walks. Chapter 12 covers simulation topics such as sampling from continuous distributions, random permutations, and estimating the number of matrices with certain conditions using Markov Chain Monte Carlo. Chapter 13 presents simulations of stochastic differential equations for applications in finance. (The simulations do not require one particular piece of software. They can be done in symbolic computation packages or via programming languages such as $\bold C$.) The volume concludes with a number of problems ranging from routine to very difficult. Of particular note are the problems that are typical of simulation problems given to students by the authors when teaching undergraduate probability.
Book Synopsis Ten Lectures on the Probabilistic Method by : Joel Spencer
Download or read book Ten Lectures on the Probabilistic Method written by Joel Spencer and published by SIAM. This book was released on 1994-01-01 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This update of the 1987 title of the same name is an examination of what is currently known about the probabilistic method, written by one of its principal developers. Based on the notes from Spencer's 1986 series of ten lectures, this new edition contains an additional lecture: The Janson inequalities. These inequalities allow accurate approximation of extremely small probabilities. A new algorithmic approach to the Lovasz Local Lemma, attributed to Jozsef Beck, has been added to Lecture 8, as well. Throughout the monograph, Spencer retains the informal style of his original lecture notes and emphasizes the methodology, shunning the more technical "best possible" results in favor of clearer exposition. The book is not encyclopedic--it contains only those examples that clearly display the methodology. The probabilistic method is a powerful tool in graph theory, combinatorics, and theoretical computer science. It allows one to prove the existence of objects with certain properties (e.g., colorings) by showing that an appropriately defined random object has positive probability of having those properties.
Book Synopsis Lectures on Probability Theory and Statistics by : Wendelin Werner
Download or read book Lectures on Probability Theory and Statistics written by Wendelin Werner and published by Springer Science & Business Media. This book was released on with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures in Probability and Statistics by : Guido Del Pino
Download or read book Lectures in Probability and Statistics written by Guido Del Pino and published by . This book was released on 2014-09-01 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Probability Theory and Statistics by : J. Bernard Pierre Bertoin
Download or read book Lectures on Probability Theory and Statistics written by J. Bernard Pierre Bertoin and published by . This book was released on 2014-01-15 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Probability Theory and Statistics by : Evarist Gine
Download or read book Lectures on Probability Theory and Statistics written by Evarist Gine and published by . This book was released on 1997 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Philosophical Lectures on Probability by : Bruno de Finetti
Download or read book Philosophical Lectures on Probability written by Bruno de Finetti and published by Springer Science & Business Media. This book was released on 2008-05-01 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bruno de Finetti (1906–1985) is the founder of the subjective interpretation of probability, together with the British philosopher Frank Plumpton Ramsey. His related notion of “exchangeability” revolutionized the statistical methodology. This book (based on a course held in 1979) explains in a language accessible also to non-mathematicians the fundamental tenets and implications of subjectivism, according to which the probability of any well specified fact F refers to the degree of belief actually held by someone, on the ground of her whole knowledge, on the truth of the assertion that F obtains.
Book Synopsis Lectures on probability theory by : P. Briane
Download or read book Lectures on probability theory written by P. Briane and published by . This book was released on 1995 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Probability Theory by : Dominique Bernard Pierre Bakry
Download or read book Lectures on Probability Theory written by Dominique Bernard Pierre Bakry and published by . This book was released on 2014-01-15 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Probability Theory and Statistics by : Roland Bernard Pierre Dobrushin
Download or read book Lectures on Probability Theory and Statistics written by Roland Bernard Pierre Dobrushin and published by . This book was released on 2014-01-15 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Perplexing Problems in Probability by : Maury Bramson
Download or read book Perplexing Problems in Probability written by Maury Bramson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harry Kesten has had a profound influence on probability theory for over 30 years. To honour his achievements a number of prominent probabilists have written survey articles on a wide variety of active areas of contemporary probability, many of which are closely related to Kesten's work.
Book Synopsis Lectures in Probability Theory and Mathematical Statistics by : Stefan Zubrzycki
Download or read book Lectures in Probability Theory and Mathematical Statistics written by Stefan Zubrzycki and published by . This book was released on 1972 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Probability Theory by : Achim Klenke
Download or read book Probability Theory written by Achim Klenke and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed primarily at graduate students and researchers, this text is a comprehensive course in modern probability theory and its measure-theoretical foundations. It covers a wide variety of topics, many of which are not usually found in introductory textbooks. The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts in the world of probability theory. In addition, plenty of figures, computer simulations, biographic details of key mathematicians, and a wealth of examples support and enliven the presentation.
Book Synopsis Lectures on Probability Theory and Stochastic Processes by : Ioan Raşa
Download or read book Lectures on Probability Theory and Stochastic Processes written by Ioan Raşa and published by . This book was released on 2006 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures on Stochastic Programming: Modeling and Theory, Third Edition by : Alexander Shapiro
Download or read book Lectures on Stochastic Programming: Modeling and Theory, Third Edition written by Alexander Shapiro and published by SIAM. This book was released on 2021-08-19 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible and rigorous presentation of contemporary models and ideas of stochastic programming, this book focuses on optimization problems involving uncertain parameters for which stochastic models are available. Since these problems occur in vast, diverse areas of science and engineering, there is much interest in rigorous ways of formulating, analyzing, and solving them. This substantially revised edition presents a modern theory of stochastic programming, including expanded and detailed coverage of sample complexity, risk measures, and distributionally robust optimization. It adds two new chapters that provide readers with a solid understanding of emerging topics; updates Chapter 6 to now include a detailed discussion of the interchangeability principle for risk measures; and presents new material on formulation and numerical approaches to solving periodical multistage stochastic programs. Lectures on Stochastic Programming: Modeling and Theory, Third Edition is written for researchers and graduate students working on theory and applications of optimization, with the hope that it will encourage them to apply stochastic programming models and undertake further studies of this fascinating and rapidly developing area.
Book Synopsis Lectures on Stochastic Programming by : Alexander Shapiro
Download or read book Lectures on Stochastic Programming written by Alexander Shapiro and published by SIAM. This book was released on 2009-01-01 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization problems involving stochastic models occur in almost all areas of science and engineering, such as telecommunications, medicine, and finance. Their existence compels a need for rigorous ways of formulating, analyzing, and solving such problems. This book focuses on optimization problems involving uncertain parameters and covers the theoretical foundations and recent advances in areas where stochastic models are available. Readers will find coverage of the basic concepts of modeling these problems, including recourse actions and the nonanticipativity principle. The book also includes the theory of two-stage and multistage stochastic programming problems; the current state of the theory on chance (probabilistic) constraints, including the structure of the problems, optimality theory, and duality; and statistical inference in and risk-averse approaches to stochastic programming.
Book Synopsis Probability and Evidence by : Alfred Jules Ayer
Download or read book Probability and Evidence written by Alfred Jules Ayer and published by [London] : Macmillan. This book was released on 1972-01-01 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this new edition of Probability and Evidence, first published in 1972, one of the foremost analytical philosophers of the twentieth century addresses central questions in epistemology and the philosophy of science. Based on Ayer's influential Dewey Lectures of 1970, Probability and Evidence contains revised versions of the lectures and two additional essays. This new edition includes Graham Macdonald's extensive introduction explaining the book's importance and influence in contemporary philosophy.
