Name: Analysis of Variations for Self-Similar Processes: A Stochastic Calculus Approach (en Inglés)
SKU: 58378044
Price: 113.19 USD
Availability: InStock
Author: Tudor, Ciprian
ISBN: 9783319033686

portada Analysis of Variations for Self-Similar Processes: A Stochastic Calculus Approach (en Inglés)

Analysis of Variations for Self-Similar Processes: A Stochastic Calculus Approach (en Inglés)

Formato

Libro Físico

Autor

Ciprian Tudor

Editorial

Springer

Idioma

Inglés

N° páginas

268

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6x1.5 cm

Peso

0.40 kg.

ISBN13

9783319033686

Categorías

Probabilidad y estadística

Analysis of Variations for Self-Similar Processes: A Stochastic Calculus Approach (en Inglés)

Ciprian Tudor (Autor) · Springer · Tapa Blanda

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Reseña del libro "Analysis of Variations for Self-Similar Processes: A Stochastic Calculus Approach (en Inglés)"

Self-similar processes are stochastic processes that are invariant in distribution under suitable time scaling, and are a subject intensively studied in the last few decades. This book presents the basic properties of these processes and focuses on the study of their variation using stochastic analysis. While self-similar processes, and especially fractional Brownian motion, have been discussed in several books, some new classes have recently emerged in the scientific literature. Some of them are extensions of fractional Brownian motion (bifractional Brownian motion, subtractional Brownian motion, Hermite processes), while others are solutions to the partial differential equations driven by fractional noises. In this monograph the author discusses the basic properties of these new classes of self-similar processes and their interrelationship. At the same time a new approach (based on stochastic calculus, especially Malliavin calculus) to studying the behavior of the variations of self-similar processes has been developed over the last decade. This work surveys these recent techniques and findings on limit theorems and Malliavin calculus.