{"product_id":"generalized-fractional-brownian-motion-mounir-zili-9781786309631","title":"Generalized Fractional Brownian Motion","description":"\u003cp\u003e\u003cb\u003eThis comprehensive book establishes the Zili generalized fractional Brownian motion (ZgfBm) as a powerful new foundation in the mathematical theory of stochastic processes.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eGeneralized Fractional Brownian Motion\u003c\/i\u003e 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.\u003c\/p\u003e \u003cp\u003eThe 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Mounir Zili\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1786309637\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781786309631\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Wiley-Iste\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/16\/2026\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 256\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.19lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.63d","brand":"Mounir Zili","offers":[{"title":"Hardcover","offer_id":48517132779775,"sku":"9781786309631","price":170.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_4639c8e1-9291-4574-a4f4-c17aeb5aabdb.jpg?v=1778730121","url":"https:\/\/www.whiterainbookhouse.com\/products\/generalized-fractional-brownian-motion-mounir-zili-9781786309631","provider":"WR Book House","version":"1.0","type":"link"}