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Analysis of Variations for Self-Similar Processes: A Stochastic Calculus Approach

Analysis of Variations for Self-Similar Processes: A Stochastic Calculus Approach

Hardcover

Series: Probability and Its Applications

Probability & Statistics

ISBN10: 3319009354
ISBN13: 9783319009353
Publisher: Springer Nature
Published: Aug 19 2013
Pages: 268
Weight: 1.26
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English

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.

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