Microsurveys in Discrete Probability

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870853
Total Pages : 240 pages
Book Rating : 4.8/5 (78 download)

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Book Synopsis Microsurveys in Discrete Probability by : David J. Aldous

Download or read book Microsurveys in Discrete Probability written by David J. Aldous and published by American Mathematical Soc.. This book was released on 1998-01-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains eleven articles surveying emerging topics in discrete probability. The papers are based on talks given by experts at the DIMACS "Microsurveys in Discrete Probability" workshop held at the Institute for Advanced Study, Princeton, NJ, in 1997. This compilation of current research in discrete probability provides a unique overview that is not available elsewhere in book or survey form. Topics covered in the volume include: Markov chains (pefect sampling, coupling from the past, mixing times), random trees (spanning trees on infinite graphs, enumeration of trees and forests, tree-valued Markov chains), distributional estimates (method of bounded differences, Stein-Chen method for normal approximation), dynamical percolation, Poisson processes, and reconstructing random walk from scenery.

Microsurveys in Discrete Probability

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Publisher :
ISBN 13 : 9781470439996
Total Pages : 220 pages
Book Rating : 4.4/5 (399 download)

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Book Synopsis Microsurveys in Discrete Probability by : R. Arratia

Download or read book Microsurveys in Discrete Probability written by R. Arratia and published by . This book was released on 1998 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains eleven articles surveying emerging topics in discrete probability. The papers are based on talks given by experts at the DIMACS "Microsurveys in Discrete Probability" workshop held at the Institute for Advanced Study, Princeton, NJ. This compilation of current research in discrete probability provides a unique overview that is not available elsewhere in book or survey form. Topics covered in the volume include: Markov chains (perfect sampling, coupling from the past, mixing times), random trees (spanning trees on infinite graphs, enumeration of trees and forests, tree-valued.

Probability on Discrete Structures

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Publisher : Springer Science & Business Media
ISBN 13 : 3662094444
Total Pages : 358 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Probability on Discrete Structures by : Harry Kesten

Download or read book Probability on Discrete Structures written by Harry Kesten and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability.

Stationary Processes and Discrete Parameter Markov Processes

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Publisher : Springer Nature
ISBN 13 : 3031009436
Total Pages : 449 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Stationary Processes and Discrete Parameter Markov Processes by : Rabi Bhattacharya

Download or read book Stationary Processes and Discrete Parameter Markov Processes written by Rabi Bhattacharya and published by Springer Nature. This book was released on 2022-12-01 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook explores two distinct stochastic processes that evolve at random: weakly stationary processes and discrete parameter Markov processes. Building from simple examples, the authors focus on developing context and intuition before formalizing the theory of each topic. This inviting approach illuminates the key ideas and computations in the proofs, forming an ideal basis for further study. After recapping the essentials from Fourier analysis, the book begins with an introduction to the spectral representation of a stationary process. Topics in ergodic theory follow, including Birkhoff’s Ergodic Theorem and an introduction to dynamical systems. From here, the Markov property is assumed and the theory of discrete parameter Markov processes is explored on a general state space. Chapters cover a variety of topics, including birth–death chains, hitting probabilities and absorption, the representation of Markov processes as iterates of random maps, and large deviation theory for Markov processes. A chapter on geometric rates of convergence to equilibrium includes a splitting condition that captures the recurrence structure of certain iterated maps in a novel way. A selection of special topics concludes the book, including applications of large deviation theory, the FKG inequalities, coupling methods, and the Kalman filter. Featuring many short chapters and a modular design, this textbook offers an in-depth study of stationary and discrete-time Markov processes. Students and instructors alike will appreciate the accessible, example-driven approach and engaging exercises throughout. A single, graduate-level course in probability is assumed.

Probability Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1447153618
Total Pages : 638 pages
Book Rating : 4.4/5 (471 download)

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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 2013-08-30 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including: • limit theorems for sums of random variables • martingales • percolation • Markov chains and electrical networks • construction of stochastic processes • Poisson point process and infinite divisibility • large deviation principles and statistical physics • Brownian motion • stochastic integral and stochastic differential equations. 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 probability theory. This second edition has been carefully extended and includes many new features. It contains updated figures (over 50), computer simulations and some difficult proofs have been made more accessible. A wealth of examples and more than 270 exercises as well as biographic details of key mathematicians support and enliven the presentation. It will be of use to students and researchers in mathematics and statistics in physics, computer science, economics and biology.

Discrete Mathematical Problems with Medical Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821870969
Total Pages : 246 pages
Book Rating : 4.8/5 (79 download)

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Book Synopsis Discrete Mathematical Problems with Medical Applications by : Dingzhu Du

Download or read book Discrete Mathematical Problems with Medical Applications written by Dingzhu Du and published by American Mathematical Soc.. This book was released on 2000-01-01 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents selected papers from a three-day workshop held during the DIMACS special years on Mathematical Support for Molecular Biology. Participants from the world over attended, giving the workshop an important international component. The study of discrete mathematics and optimization with medical applications is emerging as an important new research area. Significant applications have been found in medical research, for example in radiosurgical treatment planning, virtual endoscopy, and more. This volume presents a substantive cross-section of active research topics ranging from medical imaging to human anatomy modeling, from gamma knife treatment planning to radiation therapy, and from epileptic seizures to DNA screening. This book is an up-to-date resource reflecting current research directions.

Contemporary Trends in Discrete Mathematics

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821885819
Total Pages : 412 pages
Book Rating : 4.8/5 (858 download)

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Book Synopsis Contemporary Trends in Discrete Mathematics by : Ronald L. Graham

Download or read book Contemporary Trends in Discrete Mathematics written by Ronald L. Graham and published by American Mathematical Soc.. This book was released on 1999-01-01 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete mathematics stands among the leading disciplines of mathematics and theoretical computer science. This is due primarily to its increasing role in university curriculae and its growing importance in applications ranging from optimization to molecular biology. An inaugural conference was held cooperatively by DIMATIA and DIMACS to focus on the versatility, width, and depth of current progress in the subject area. This volume offers a well-balanced blend of research and survey papers reflecting the exciting, attractive topics in contemporary discrete mathematics. Discussed in the book are topics such as graph theory, partially ordered sets, geometrical Ramsey theory, computational complexity issues and applications.

Introduction to Markov Chains

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Publisher : Vieweg+Teubner Verlag
ISBN 13 : 3322901572
Total Pages : 234 pages
Book Rating : 4.3/5 (229 download)

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Book Synopsis Introduction to Markov Chains by : Ehrhard Behrends

Download or read book Introduction to Markov Chains written by Ehrhard Behrends and published by Vieweg+Teubner Verlag. This book was released on 2014-07-08 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Besides the investigation of general chains the book contains chapters which are concerned with eigenvalue techniques, conductance, stopping times, the strong Markov property, couplings, strong uniform times, Markov chains on arbitrary finite groups (including a crash-course in harmonic analysis), random generation and counting, Markov random fields, Gibbs fields, the Metropolis sampler, and simulated annealing. With 170 exercises.

Constraint Programming and Large Scale Discrete Optimization

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821870983
Total Pages : 190 pages
Book Rating : 4.8/5 (79 download)

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Book Synopsis Constraint Programming and Large Scale Discrete Optimization by : Eugene C. Freuder

Download or read book Constraint Programming and Large Scale Discrete Optimization written by Eugene C. Freuder and published by American Mathematical Soc.. This book was released on 2001-01-01 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constraint programming has become an important general approach for solving hard combinatorial problems that occur in a number of application domains, such as scheduling and configuration. This volume contains selected papers from the workshop on Constraint Programming and Large Scale Discrete Optimization held at DIMACS. It gives a sense of state-of-the-art research in this field, touching on many of the important issues that are emerging and giving an idea of the major current trends. Topics include new strategies for local search, multithreaded constraint programming, specialized constraints that enhance consistency processing, fuzzy representations, hybrid approaches involving both constraint programming and integer programming, and applications to scheduling problems in domains such as sports scheduling and satellite scheduling.

Introduction to Probability Models

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Publisher : Elsevier
ISBN 13 : 0443187606
Total Pages : 872 pages
Book Rating : 4.4/5 (431 download)

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Book Synopsis Introduction to Probability Models by : Sheldon M. Ross

Download or read book Introduction to Probability Models written by Sheldon M. Ross and published by Elsevier. This book was released on 2023-06-30 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approx.852 pages Winner of a 2024 McGuffey Longevity Award (College) (Texty) from the Textbook and Academic Authors Association Retains the useful organization that students and professors have relied on since 1972 Includes new coverage on Martingales Offers a single source appropriate for a range of courses from undergraduate to graduate level

Monte Carlo Methods

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821871324
Total Pages : 246 pages
Book Rating : 4.8/5 (713 download)

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Book Synopsis Monte Carlo Methods by : Neal Noah Madras

Download or read book Monte Carlo Methods written by Neal Noah Madras and published by American Mathematical Soc.. This book was released on 2000-01-01 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Workshop on Monte Carlo Methods held at The Fields Institute for Research in Mathematical Sciences (Toronto, 1998). The workshop brought together researchers in physics, statistics, and probability. The papers in this volume - of the invited speakers and contributors to the poster session - represent the interdisciplinary emphasis of the conference. Monte Carlo methods have been used intensively in many branches of scientific inquiry. Markov chain methods have been at the forefront of much of this work, serving as the basis of many numerical studies in statistical physics and related areas since the Metropolis algorithm was introduced in 1953. Statisticians and theoretical computer scientists have used these methods in recent years, working on different fundamental research questions, yet using similar Monte Carlo methodology. This volume focuses on Monte Carlo methods that appear to have wide applicability and emphasizes new methods, practical applications and theoretical analysis. It will be of interest to researchers and graduate students who study and/or use Monte Carlo methods in areas of probability, statistics, theoretical physics, or computer science.

Random Forests

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311094197X
Total Pages : 128 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Random Forests by : Yu. L. Pavlov

Download or read book Random Forests written by Yu. L. Pavlov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-01-14 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Random Forests".

Probability for Statisticians

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Publisher : Springer Science & Business Media
ISBN 13 : 0387227601
Total Pages : 586 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Probability for Statisticians by : Galen R. Shorack

Download or read book Probability for Statisticians written by Galen R. Shorack and published by Springer Science & Business Media. This book was released on 2006-05-02 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: The choice of examples used in this text clearly illustrate its use for a one-year graduate course. The material to be presented in the classroom constitutes a little more than half the text, while the rest of the text provides background, offers different routes that could be pursued in the classroom, as well as additional material that is appropriate for self-study. Of particular interest is a presentation of the major central limit theorems via Steins method either prior to or alternative to a characteristic function presentation. Additionally, there is considerable emphasis placed on the quantile function as well as the distribution function, with both the bootstrap and trimming presented. The section on martingales covers censored data martingales.

Lectures on Probability Theory and Statistics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540213161
Total Pages : 212 pages
Book Rating : 4.2/5 (131 download)

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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:

Lectures on Probability Theory and Statistics

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Publisher : Springer
ISBN 13 : 3540399828
Total Pages : 200 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Lectures on Probability Theory and Statistics by : Boris Tsirelson

Download or read book Lectures on Probability Theory and Statistics written by Boris Tsirelson and published by Springer. This book was released on 2004-03-10 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is yet another indispensable volume for all probabilists and collectors of the Saint-Flour series, and is also of great interest for mathematical physicists. It contains two of the three lecture courses given at the 32nd Probability Summer School in Saint-Flour (July 7-24, 2002). Tsirelson's lectures introduce the notion of nonclassical noise produced by very nonlinear functions of many independent random variables, for instance singular stochastic flows or oriented percolation. Werner's contribution gives a survey of results on conformal invariance, scaling limits and properties of some two-dimensional random curves. It provides a definition and properties of the Schramm-Loewner evolutions, computations (probabilities, critical exponents), the relation with critical exponents of planar Brownian motions, planar self-avoiding walks, critical percolation, loop-erased random walks and uniform spanning trees.

The Random Projection Method

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821837931
Total Pages : 120 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Random Projection Method by : Santosh S. Vempala

Download or read book The Random Projection Method written by Santosh S. Vempala and published by American Mathematical Soc.. This book was released on 2005-02-24 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random projection is a simple geometric technique for reducing the dimensionality of a set of points in Euclidean space while preserving pairwise distances approximately. The technique plays a key role in several breakthrough developments in the field of algorithms. In other cases, it provides elegant alternative proofs. The book begins with an elementary description of the technique and its basic properties. Then it develops the method in the context of applications, which are divided into three groups. The first group consists of combinatorial optimization problems such as maxcut, graph coloring, minimum multicut, graph bandwidth and VLSI layout. Presented in this context is the theory of Euclidean embeddings of graphs. The next group is machine learning problems, specifically, learning intersections of halfspaces and learning large margin hypotheses. The projection method is further refined for the latter application. The last set consists of problems inspired by information retrieval, namely, nearest neighbor search, geometric clustering and efficient low-rank approximation. Motivated by the first two applications, an extension of random projection to the hypercube is developed here. Throughout the book, random projection is used as a way to understand, simplify and connect progress on these important and seemingly unrelated problems. The book is suitable for graduate students and research mathematicians interested in computational geometry.

Fractal Geometry and Stochastics IV

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Publisher : Springer Science & Business Media
ISBN 13 : 3034600305
Total Pages : 290 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Fractal Geometry and Stochastics IV by : Christoph Bandt

Download or read book Fractal Geometry and Stochastics IV written by Christoph Bandt and published by Springer Science & Business Media. This book was released on 2010-01-08 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last fifteen years fractal geometry has established itself as a substantial mathematical theory in its own right. The interplay between fractal geometry, analysis and stochastics has highly influenced recent developments in mathematical modeling of complicated structures. This process has been forced by problems in these areas related to applications in statistical physics, biomathematics and finance. This book is a collection of survey articles covering many of the most recent developments, like Schramm-Loewner evolution, fractal scaling limits, exceptional sets for percolation, and heat kernels on fractals. The authors were the keynote speakers at the conference "Fractal Geometry and Stochastics IV" at Greifswald in September 2008.