Name: Stable Lévy Processes via Lamperti-Type Representations (Institute of Mathematical Statistics Monographs, Series Number 7) (en Inglés)
Price: 1367.43 MXN
Availability: InStock
Author: Kyprianou, Andreas E. ; Pardo, Juan Carlos
ISBN: 9781108480291

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portada Stable Lévy Processes via Lamperti-Type Representations (Institute of Mathematical Statistics Monographs, Series Number 7) (en Inglés)

Formato

Libro Físico

Autor

Andreas E. Kyprianou

Juan Carlos Pardo

Editorial

Cambridge University Press

Año

2022

Idioma

Inglés

N° páginas

484

Encuadernación

Tapa Dura

Dimensiones

23.6 x 15.7 x 2.5 cm

Peso

0.88 kg.

ISBN13

9781108480291

Categorías

Probabilidad y estadística

Stable Lévy Processes via Lamperti-Type Representations (Institute of Mathematical Statistics Monographs, Series Number 7) (en Inglés)

Andreas E. Kyprianou (Autor) · Juan Carlos Pardo (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Stable Lévy Processes via Lamperti-Type Representations (Institute of Mathematical Statistics Monographs, Series Number 7) (en Inglés)"

Stable Lévy processes lie at the intersection of Lévy processes and self-similar Markov processes. Processes in the latter class enjoy a Lamperti-type representation as the space-time path transformation of so-called Markov additive processes (MAPs). This completely new mathematical treatment takes advantage of the fact that the underlying MAP for stable processes can be explicitly described in one dimension and semi-explicitly described in higher dimensions, and uses this approach to catalogue a large number of explicit results describing the path fluctuations of stable Lévy processes in one and higher dimensions. Written for graduate students and researchers in the field, this book systemically establishes many classical results as well as presenting many recent results appearing in the last decade, including previously unpublished material. Topics explored include first hitting laws for a variety of sets, path conditionings, law-preserving path transformations, the distribution of extremal points, growth envelopes and winding behaviour.