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The Resource Discrete Probability Models and Methods : Probability on Graphs and Trees, Markov Chains and Random Fields, Entropy and Coding, by Pierre Brémaud, (electronic resource)

Discrete Probability Models and Methods : Probability on Graphs and Trees, Markov Chains and Random Fields, Entropy and Coding, by Pierre Brémaud, (electronic resource)

Creator
Summary
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.--
Language
eng
Work
Publication
Extent
1 online resource (XIV, 559 pages)
Contents
  • Introduction
  • 1.Events and probability
  • 2.Random variables
  • 3.Bounds and inequalities
  • 4.Almost-sure convergence
  • 5.Coupling and the variation distance
  • 6.The probabilistic method
  • 7.Codes and trees
  • 8.Markov chains
  • 9.Branching trees
  • 10.Markov fields on graphs
  • 11.Random graphs
  • 12.Recurrence of Markov chains
  • 13.Random walks on graphs
  • 14.Asymptotic behaviour of Markov chains
  • 15.Monte Carlo sampling
  • 16. Convergence rates
  • Appendix
  • Bibliography
Isbn
9783319434766
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-43476-6
Instance
Label
Discrete Probability Models and Methods : Probability on Graphs and Trees, Markov Chains and Random Fields, Entropy and Coding
Title
Discrete Probability Models and Methods
Title remainder
Probability on Graphs and Trees, Markov Chains and Random Fields, Entropy and Coding
Statement of responsibility
by Pierre Brémaud
Creator
Subject
Language
eng
Summary
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.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Brémaud, Pierre
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Springer eBooks
  • Probability Theory and Stochastic Modelling,
Series volume
78
http://library.link/vocab/subjectName
  • Mathematics
  • Computer communication systems
  • Coding theory
  • Mathematical statistics
  • Probabilities
  • Graph theory
  • Mathematics
  • Probability Theory and Stochastic Processes
  • Probability and Statistics in Computer Science
  • Graph Theory
  • Coding and Information Theory
  • Computer Communication Networks
Label
Discrete Probability Models and Methods : Probability on Graphs and Trees, Markov Chains and Random Fields, Entropy and Coding, by Pierre Brémaud, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-43476-6
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- 1.Events and probability -- 2.Random variables -- 3.Bounds and inequalities -- 4.Almost-sure convergence -- 5.Coupling and the variation distance -- 6.The probabilistic method -- 7.Codes and trees -- 8.Markov chains -- 9.Branching trees -- 10.Markov fields on graphs -- 11.Random graphs -- 12.Recurrence of Markov chains -- 13.Random walks on graphs -- 14.Asymptotic behaviour of Markov chains -- 15.Monte Carlo sampling -- 16. Convergence rates -- Appendix -- Bibliography
Control code
978-3-319-43476-6
Dimensions
unknown
Extent
1 online resource (XIV, 559 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319434766
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-43476-6
Other physical details
92 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)972330747
Label
Discrete Probability Models and Methods : Probability on Graphs and Trees, Markov Chains and Random Fields, Entropy and Coding, by Pierre Brémaud, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-43476-6
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- 1.Events and probability -- 2.Random variables -- 3.Bounds and inequalities -- 4.Almost-sure convergence -- 5.Coupling and the variation distance -- 6.The probabilistic method -- 7.Codes and trees -- 8.Markov chains -- 9.Branching trees -- 10.Markov fields on graphs -- 11.Random graphs -- 12.Recurrence of Markov chains -- 13.Random walks on graphs -- 14.Asymptotic behaviour of Markov chains -- 15.Monte Carlo sampling -- 16. Convergence rates -- Appendix -- Bibliography
Control code
978-3-319-43476-6
Dimensions
unknown
Extent
1 online resource (XIV, 559 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319434766
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-43476-6
Other physical details
92 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)972330747

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