£120.99

Wiley Generalized Fractional Brownian Motion (ISTE Invoiced)

RKC2073489810

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£127.18 £120.37 £121.86 £123.34 £124.83 £126.31 £127.80 11 June 2026 28 June 2026 16 July 2026 02 August 2026 20 August 2026

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Description

This comprehensive book establishes the Zili generalized fractional Brownian motion (ZgfBm) as a powerful new foundation in the mathematical theory of stochastic processes. Generalized Fractional Brownian Motion provides the first rigorous and systematic stochastic analysis of the ZgfBm, a versatile Gaussian process that uniquely extends both the classic fractional Brownian motion with stationary increments and the sub-fractional Brownian motion with nonstationary increments. Defined by three tunable parameters, the ZgfBm offers unprecedented flexibility for modeling complex phenomena across diverse fields, overcoming the limitations of single-parameter models. The book carefully builds from foundational Gaussian theory and key fractional processes to advanced topics, including a complete methodology for parameter estimation, the development of a rigorous stochastic calculus with generalized Itô formulas and an investigation into the regularity of solutions to stochastic heat equations. This essential resource provides researchers, practitioners and graduate students with a unified and in-depth perspective on advanced fractional Gaussian processes.

Product Specifications

Brand
Wiley
Format
hardcover
Domain
Amazon UK
Release Date
20 February 2026
Listed Since
23 January 2026

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