portada Probability: Theory and Examples (Cambridge Series in Statistical and Probabilistic Mathematics) (en Inglés)

Probability: Theory and Examples (Cambridge Series in Statistical and Probabilistic Mathematics) (en Inglés)

Formato

Libro Físico

Autor

Rick Durrett

Editorial

Cambridge University Press

Año

2019

Idioma

Inglés

N° páginas

430

Encuadernación

Tapa Dura

Dimensiones

25.4x24.1x2.8 cm

Peso

0.91 kg.

ISBN13

9781108473682

N° edición

0005

Categorías

Probabilidad y estadística

Probability: Theory and Examples (Cambridge Series in Statistical and Probabilistic Mathematics) (en Inglés)

Rick Durrett (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Probability: Theory and Examples (Cambridge Series in Statistical and Probabilistic Mathematics) (en Inglés)"

This lively introduction to measure-theoretic probability theory covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. Concentrating on results that are the most useful for applications, this comprehensive treatment is a rigorous graduate text and reference. Operating under the philosophy that the best way to learn probability is to see it in action, the book contains extended examples that apply the theory to concrete applications. This fifth edition contains a new chapter on multidimensional Brownian motion and its relationship to partial differential equations (PDEs), an advanced topic that is finding new applications. Setting the foundation for this expansion, Chapter 7 now features a proof of Itô's formula. Key exercises that previously were simply proofs left to the reader have been directly inserted into the text as lemmas. The new edition re-instates discussion about the central limit theorem for martingales and stationary sequences.