Probability Theory and Combinatorial Optimization

Probability Theory and Combinatorial Optimization PDF Author: J. Michael Steele
Publisher: SIAM
ISBN: 0898713803
Category : Mathematics
Languages : en
Pages : 164

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Book Description
An introduction to the state of the art of the probability theory most applicable to combinatorial optimization. The questions that receive the most attention are those that deal with discrete optimization problems for points in Euclidean space, such as the minimum spanning tree, the traveling-salesman tour, and minimal-length matchings.

Probability Theory and Combinatorial Optimization

Probability Theory and Combinatorial Optimization PDF Author: J. Michael Steele
Publisher: SIAM
ISBN: 0898713803
Category : Mathematics
Languages : en
Pages : 164

Get Book Here

Book Description
An introduction to the state of the art of the probability theory most applicable to combinatorial optimization. The questions that receive the most attention are those that deal with discrete optimization problems for points in Euclidean space, such as the minimum spanning tree, the traveling-salesman tour, and minimal-length matchings.

Introduction to Probability

Introduction to Probability PDF Author: David F. Anderson
Publisher: Cambridge University Press
ISBN: 110824498X
Category : Mathematics
Languages : en
Pages : 447

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Book Description
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.

Probability Theory Subject Indexes from Mathematical Reviews

Probability Theory Subject Indexes from Mathematical Reviews PDF Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 492

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Book Description


Prokhorov and Contemporary Probability Theory

Prokhorov and Contemporary Probability Theory PDF Author: Albert N. Shiryaev
Publisher: Springer Science & Business Media
ISBN: 3642335497
Category : Mathematics
Languages : en
Pages : 468

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Book Description
The role of Yuri Vasilyevich Prokhorov as a prominent mathematician and leading expert in the theory of probability is well known. Even early in his career he obtained substantial results on the validity of the strong law of large numbers and on the estimates (bounds) of the rates of convergence, some of which are the best possible. His findings on limit theorems in metric spaces and particularly functional limit theorems are of exceptional importance. Y.V. Prokhorov developed an original approach to the proof of functional limit theorems, based on the weak convergence of finite dimensional distributions and the condition of tightness of probability measures. The present volume commemorates the 80th birthday of Yuri Vasilyevich Prokhorov. It includes scientific contributions written by his colleagues, friends and pupils, who would like to express their deep respect and sincerest admiration for him and his scientific work.​

In and Out of Equilibrium

In and Out of Equilibrium PDF Author: Vladas Sidoravicius
Publisher: Springer Science & Business Media
ISBN: 9780817642891
Category : Mathematics
Languages : en
Pages : 484

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Book Description
This volume consists of a collection of invited articles, written by some of the most distinguished probabilists, most of whom were personally responsible for advances in the various subfields of probability. Graduate students and researchers in probability theory and math physics will find this book a useful reference.

Analysis of Evidence

Analysis of Evidence PDF Author: Terence Anderson
Publisher: Cambridge University Press
ISBN: 113944526X
Category : Law
Languages : en
Pages : 437

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Book Description
This extensively revised second edition is a rigorous introduction to the construction and criticism of arguments about questions of fact, and to the marshalling and evaluation of evidence at all stages of litigation. It covers the principles underlying the logic of proof; the uses and dangers of story-telling; standards for decision and the relationship between probabilities and proof; the chart method and other methods of analyzing and ordering evidence in fact-investigation, in preparing for trial, and in connection with other important decisions in legal processes and in criminal investigation and intelligence analysis. Most of the chapters in this new edition have been rewritten; the treatment of fact investigation, probabilities and narrative has been extended; and new examples and exercises have been added. Designed as a flexible tool for undergraduate and postgraduate courses on evidence and proof, students, practitioners and teachers alike will find this book challenging but rewarding.

A Modern Introduction to Probability and Statistics

A Modern Introduction to Probability and Statistics PDF Author: F.M. Dekking
Publisher: Springer Science & Business Media
ISBN: 1846281687
Category : Mathematics
Languages : en
Pages : 485

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Book Description
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

Free Probability Theory

Free Probability Theory PDF Author: Dan V. Voiculescu
Publisher: American Mathematical Soc.
ISBN: 0821806750
Category : Mathematics
Languages : en
Pages : 322

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Book Description
This is a volume of papers from a workshop on Random Matrices and Operator Algebra Free Products, held at The Fields Institute for Research in the Mathematical Sciences in March 1995. Over the last few years, there has been much progress on the operator algebra and noncommutative probability sides of the subject. New links with the physics of masterfields and the combinatorics of noncrossing partitions have emerged. Moreover there is a growing free entropy theory.

Lectures and Conferences on Mathematical Statistics and Probability

Lectures and Conferences on Mathematical Statistics and Probability PDF Author: Jerzy Neyman
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 332

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Book Description


Random Graphs, Phase Transitions, and the Gaussian Free Field

Random Graphs, Phase Transitions, and the Gaussian Free Field PDF Author: Martin T. Barlow
Publisher: Springer Nature
ISBN: 3030320111
Category : Mathematics
Languages : en
Pages : 421

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Book Description
The 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for the Mathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada, during June 5-30, 2017. It had 125 participants from 20 different countries, and featured two main courses, three mini-courses, and twenty-nine lectures. The lecture notes contained in this volume provide introductory accounts of three of the most active and fascinating areas of research in modern probability theory, especially designed for graduate students entering research: Scaling limits of random trees and random graphs (Christina Goldschmidt) Lectures on the Ising and Potts models on the hypercubic lattice (Hugo Duminil-Copin) Extrema of the two-dimensional discrete Gaussian free field (Marek Biskup) Each of these contributions provides a thorough introduction that will be of value to beginners and experts alike.