Seminar: How Does Tempering Affect the Local and Global Properties of Fractional Brownian Motion?

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Date/Time:Wednesday, 27 Oct 2021 from 4:25 pm to 5:10 pm
Location:Zoom
Cost:Free
Contact:Tyler Stricker
Phone:525-294-7540
Channel:Research
Categories:Lectures
Actions:Download iCal/vCal | Email Reminder
Join this Probability, Analysis and Data Science (PADS) seminar to hear Dr. Farzad Sabzikar, Assistant Professor in the Department of Statistics at Iowa State University, discuss the effects of tempering the power-law kernel of the moving average representation of a fractional Brownian motion (fBm) on some local and global properties of a Gaussian stochastic process.

Join this zoom webinar to hear from Dr. Farzad Sabzikar.

Abstract: In this talk, we discuss the effects of tempering the power-law kernel of the moving average representation of a fractional Brownian motion (fBm) on some local and global properties of this Gaussian stochastic process. Tempered fractional Brownian motion (TFBM) and tempered fractional Brownian motion of the second kind (TFBMII) are the processes that are considered in order to investigate the role of tempering. Tempering does not change the local properties of fBm including the sample paths and p-variation, but it has a strong impact on the Breuer-Major theorem, asymptotic behavior of the third and fourth cumulants of fBm, and the optimal fourth-moment theorem.