Modern Discrete Probability

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Modern Discrete Probability

Author : Sébastien Roch
Publisher : Cambridge University Press
ISBN 13 : 1009305131
Total Pages : 452 pages
Book Rating : 4.0/5 (93 download)

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Book Synopsis Modern Discrete Probability by : Sébastien Roch

Download or read book Modern Discrete Probability written by Sébastien Roch and published by Cambridge University Press. This book was released on 2024-01-18 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a graduate-level introduction to discrete probability and its applications, this book develops a toolkit of essential techniques for analysing stochastic processes on graphs, other random discrete structures, and algorithms. Topics covered include the first and second moment methods, concentration inequalities, coupling and stochastic domination, martingales and potential theory, spectral methods, and branching processes. Each chapter expands on a fundamental technique, outlining common uses and showing them in action on simple examples and more substantial classical results. The focus is predominantly on non-asymptotic methods and results. All chapters provide a detailed background review section, plus exercises and signposts to the wider literature. Readers are assumed to have undergraduate-level linear algebra and basic real analysis, while prior exposure to graduate-level probability is recommended. This much-needed broad overview of discrete probability could serve as a textbook or as a reference for researchers in mathematics, statistics, data science, computer science and engineering.

Foundations of Modern Probability

Author : Olav Kallenberg
Publisher : Springer Science & Business Media
ISBN 13 : 9780387953137
Total Pages : 670 pages
Book Rating : 4.9/5 (531 download)

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Book Synopsis Foundations of Modern Probability by : Olav Kallenberg

Download or read book Foundations of Modern Probability written by Olav Kallenberg and published by Springer Science & Business Media. This book was released on 2002-01-08 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this single volume on the theory of probability has become a highly-praised standard reference for many areas of probability theory. Chapters from the first edition have been revised and corrected, and this edition contains four new chapters. New material covered includes multivariate and ratio ergodic theorems, shift coupling, Palm distributions, Harris recurrence, invariant measures, and strong and weak ergodicity.

A Modern Introduction to Probability and Statistics

Author : F.M. Dekking
Publisher : Springer Science & Business Media
ISBN 13 : 1846281687
Total Pages : 485 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis A Modern Introduction to Probability and Statistics by : F.M. Dekking

Download or read book A Modern Introduction to Probability and Statistics written by F.M. Dekking and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included – this is a modern method missing in many other books

Urn Models and Their Application

Author : Norman Lloyd Johnson
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Urn Models and Their Application by : Norman Lloyd Johnson

Download or read book Urn Models and Their Application written by Norman Lloyd Johnson and published by John Wiley & Sons. This book was released on 1977 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Discrete Probability

Author : Sébastien Roch
Publisher : Cambridge University Press
ISBN 13 : 1009305115
Total Pages : 453 pages
Book Rating : 4.0/5 (93 download)

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Book Synopsis Modern Discrete Probability by : Sébastien Roch

Download or read book Modern Discrete Probability written by Sébastien Roch and published by Cambridge University Press. This book was released on 2024-01-31 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level introduction to essential techniques and key examples in discrete probability, with applications to data science.

Modern Discrete Mathematics and Analysis

Author : Nicholas J. Daras
Publisher : Springer
ISBN 13 : 3319743252
Total Pages : 516 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Modern Discrete Mathematics and Analysis by : Nicholas J. Daras

Download or read book Modern Discrete Mathematics and Analysis written by Nicholas J. Daras and published by Springer. This book was released on 2018-07-05 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: A variety of modern research in analysis and discrete mathematics is provided in this book along with applications in cryptographic methods and information security, in order to explore new techniques, methods, and problems for further investigation. Distinguished researchers and scientists in analysis and discrete mathematics present their research. Graduate students, scientists and engineers, interested in a broad spectrum of current theories, methods, and applications in interdisciplinary fields will find this book invaluable.

Probability on Trees and Networks

Author : Russell Lyons
Publisher : Cambridge University Press
ISBN 13 : 1316785335
Total Pages : 1023 pages
Book Rating : 4.3/5 (167 download)

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Book Synopsis Probability on Trees and Networks by : Russell Lyons

Download or read book Probability on Trees and Networks written by Russell Lyons and published by Cambridge University Press. This book was released on 2017-01-20 with total page 1023 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike.

Introduction to Probability

Author : David F. Anderson
Publisher : Cambridge University Press
ISBN 13 : 110824498X
Total Pages : 447 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Introduction to Probability by : David F. Anderson

Download or read book Introduction to Probability written by David F. Anderson and published by Cambridge University Press. This book was released on 2017-11-02 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

Algebraic and Discrete Mathematical Methods for Modern Biology

Author : Raina Robeva
Publisher : Academic Press
ISBN 13 : 0128012714
Total Pages : 383 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Algebraic and Discrete Mathematical Methods for Modern Biology by : Raina Robeva

Download or read book Algebraic and Discrete Mathematical Methods for Modern Biology written by Raina Robeva and published by Academic Press. This book was released on 2015-05-09 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems. Each chapter begins with a question from modern biology, followed by the description of certain mathematical methods and theory appropriate in the search of answers. Every topic provides a fast-track pathway through the problem by presenting the biological foundation, covering the relevant mathematical theory, and highlighting connections between them. Many of the projects and exercises embedded in each chapter utilize specialized software, providing students with much-needed familiarity and experience with computing applications, critical components of the "modern biology" skill set. This book is appropriate for mathematics courses such as finite mathematics, discrete structures, linear algebra, abstract/modern algebra, graph theory, probability, bioinformatics, statistics, biostatistics, and modeling, as well as for biology courses such as genetics, cell and molecular biology, biochemistry, ecology, and evolution. - Examines significant questions in modern biology and their mathematical treatments - Presents important mathematical concepts and tools in the context of essential biology - Features material of interest to students in both mathematics and biology - Presents chapters in modular format so coverage need not follow the Table of Contents - Introduces projects appropriate for undergraduate research - Utilizes freely accessible software for visualization, simulation, and analysis in modern biology - Requires no calculus as a prerequisite - Provides a complete Solutions Manual - Features a companion website with supplementary resources

High-Dimensional Probability

Author : Roman Vershynin
Publisher : Cambridge University Press
ISBN 13 : 1108415199
Total Pages : 299 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis High-Dimensional Probability by : Roman Vershynin

Download or read book High-Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Probability with Martingales

Author : David Williams
Publisher : Cambridge University Press
ISBN 13 : 9780521406055
Total Pages : 274 pages
Book Rating : 4.4/5 (6 download)

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Book Synopsis Probability with Martingales by : David Williams

Download or read book Probability with Martingales written by David Williams and published by Cambridge University Press. This book was released on 1991-02-14 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a masterly introduction to the modern, and rigorous, theory of probability. The author emphasises martingales and develops all the necessary measure theory.

Discrete Probability Models and Methods

Author : Pierre Brémaud
Publisher : Springer
ISBN 13 : 3319434764
Total Pages : 561 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Discrete Probability Models and Methods by : Pierre Brémaud

Download or read book Discrete Probability Models and Methods written by Pierre Brémaud and published by Springer. This book was released on 2017-01-31 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emphasis in this book is placed on general models (Markov chains, random fields, random graphs), universal methods (the probabilistic method, the coupling method, the Stein-Chen method, martingale methods, the method of types) and versatile tools (Chernoff's bound, Hoeffding's inequality, Holley's inequality) whose domain of application extends far beyond the present text. Although the examples treated in the book relate to the possible applications, in the communication and computing sciences, in operations research and in physics, this book is in the first instance concerned with theory. The level of the book is that of a beginning graduate course. It is self-contained, the prerequisites consisting merely of basic calculus (series) and basic linear algebra (matrices). The reader is not assumed to be trained in probability since the first chapters give in considerable detail the background necessary to understand the rest of the book.

Probability on Graphs

Author : Geoffrey Grimmett
Publisher : Cambridge University Press
ISBN 13 : 1108542999
Total Pages : 279 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Probability on Graphs by : Geoffrey Grimmett

Download or read book Probability on Graphs written by Geoffrey Grimmett and published by Cambridge University Press. This book was released on 2018-01-25 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. This new edition features accounts of major recent progress, including the exact value of the connective constant of the hexagonal lattice, and the critical point of the random-cluster model on the square lattice. The choice of topics is strongly motivated by modern applications, and focuses on areas that merit further research. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.

Introduction to Probability

Author : John E. Freund
Publisher : Courier Corporation
ISBN 13 : 0486158438
Total Pages : 276 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Probability by : John E. Freund

Download or read book Introduction to Probability written by John E. Freund and published by Courier Corporation. This book was released on 2012-05-11 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featured topics include permutations and factorials, probabilities and odds, frequency interpretation, mathematical expectation, decision making, postulates of probability, rule of elimination, much more. Exercises with some solutions. Summary. 1973 edition.

Probability on Discrete Structures

Author : Harry Kesten
Publisher : Springer
ISBN 13 : 9783662094457
Total Pages : 351 pages
Book Rating : 4.0/5 (944 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. This book was released on 2012-12-22 with total page 351 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.

Modern Probability Theory and Its Applications

Author : Emanuel Parzen
Publisher :
ISBN 13 :
Total Pages : 666 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Modern Probability Theory and Its Applications by : Emanuel Parzen

Download or read book Modern Probability Theory and Its Applications written by Emanuel Parzen and published by . This book was released on 1960 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics of Probability

Author : Daniel W. Stroock
Publisher : American Mathematical Soc.
ISBN 13 : 1470409070
Total Pages : 299 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematics of Probability by : Daniel W. Stroock

Download or read book Mathematics of Probability written by Daniel W. Stroock and published by American Mathematical Soc.. This book was released on 2013-07-05 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the basics of modern probability theory. It begins with probability theory on finite and countable sample spaces and then passes from there to a concise course on measure theory, which is followed by some initial applications to probability theory, including independence and conditional expectations. The second half of the book deals with Gaussian random variables, with Markov chains, with a few continuous parameter processes, including Brownian motion, and, finally, with martingales, both discrete and continuous parameter ones. The book is a self-contained introduction to probability theory and the measure theory required to study it.