Discrete probability models and methods : probability on graphs and trees, Markov chains and rendom fields, entropy and coding /

Detalles Bibliográficos
Autor principal: Brémaud, Pierre (autor)
Formato: Libro
Lenguaje:English
Publicado: New York, NY : Springer Berlin Heidelberg, 2017.
Colección:Probability theory and stochastic modelling ; volume 78
Materias:
Probabilidades
Redes de computadoras
Teoría de la codificación
Estadística matemática
Tabla de Contenidos:
  • 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.

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