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|a 9781394441549
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|a 519.2/3
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| 100 |
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|a Zili, Mounir,
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjrpyH7Fgp44tPQ4CgxMj3
|
| 245 |
1 |
0 |
|a Generalized fractional Brownian motion /
|c Mounir Zili.
|
| 264 |
|
1 |
|a London, UK :
|b ISTE Ltd ;
|a Hoboken, NJ :
|b John Wiley & Sons, Inc.,
|c 2026.
|
| 264 |
|
4 |
|c ©2026
|
| 300 |
|
|
|a 1 online resource (xi, 233 pages) :
|b color illustrations.
|
| 336 |
|
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|a text
|b txt
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| 490 |
1 |
|
|a Mathematics and statistics
|
| 504 |
|
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|a Includes bibliographical references and index.
|
| 520 |
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|a 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 It̥ 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.
|
| 532 |
1 |
|
|3 Wiley
|a "We measure accessibility according to the standards set by the Web Content Accessibility Guidelines (WCAG) 2.2 A/AA, Revised Section 508 of the US Rehabilitation Act, and EN 301 549." Source: https://onlinelibrary.wiley.com/accessibility. Last accessed April 22, 2025
|
| 588 |
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|a Description based on online resource; title from digital title page (viewed on May 26, 2026).
|
| 650 |
|
0 |
|a Brownian motion processes.
|
| 776 |
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|i Print version:
|z 1786309637
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|a Mathematics and statistics series (ISTE)
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|a Texas A&M University
|b College Station
|c Electronic Resources
|s evans_pda
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|h Library of Congress classification
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| 998 |
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