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Viser: Discrete Probability - Models and Methods - Probability on Graphs and Trees, Markov Chains and Random Fields, Entropy and Coding
Discrete Probability Models and Methods Vital Source e-bog
Pierre Brémaud
(2017)
Discrete Probability Models and Methods Vital Source e-bog
Pierre Brémaud
(2017)
Discrete Probability Models and Methods Vital Source e-bog
Pierre Brémaud
(2017)
Discrete Probability Models and Methods Vital Source e-bog
Pierre Brémaud
(2017)
Discrete Probability - Models and Methods
Probability on Graphs and Trees, Markov Chains and Random Fields, Entropy and Coding
Pierre Bremaud
(2017)
Sprog: Engelsk
Detaljer om varen
- Vital Source searchable e-book (Fixed pages)
- Udgiver: Springer Nature (Januar 2017)
- ISBN: 9783319434766
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Detaljer om varen
- Vital Source 180 day rentals (fixed pages)
- Udgiver: Springer Nature (Januar 2017)
- ISBN: 9783319434766R180
Bookshelf online: 180 dage fra købsdato.
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Detaljer om varen
- Vital Source 90 day rentals (fixed pages)
- Udgiver: Springer Nature (Januar 2017)
- ISBN: 9783319434766R90
Bookshelf online: 90 dage fra købsdato.
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Detaljer om varen
- Vital Source 365 day rentals (fixed pages)
- Udgiver: Springer Nature (Januar 2017)
- ISBN: 9783319434766R365
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: 5 år fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
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Detaljer om varen
- Hardback: 630 sider
- Udgiver: Springer International Publishing AG (Februar 2017)
- ISBN: 9783319434759
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.
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.