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Asymptotic properties of the derivative of self-intersection local time of fractional Brownian motion

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  • Jaramillo, Arturo
  • Nualart, David

Abstract

Let {Bt}t≥0 be a fractional Brownian motion with Hurst parameter 23

Suggested Citation

  • Jaramillo, Arturo & Nualart, David, 2017. "Asymptotic properties of the derivative of self-intersection local time of fractional Brownian motion," Stochastic Processes and their Applications, Elsevier, vol. 127(2), pages 669-700.
    • Handle: RePEc:eee:spapps:v:127:y:2017:i:2:p:669-700
    DOI: 10.1016/j.spa.2016.06.023
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    References listed on IDEAS

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    1. Breuer, Péter & Major, Péter, 1983. "Central limit theorems for non-linear functionals of Gaussian fields," Journal of Multivariate Analysis, Elsevier, vol. 13(3), pages 425-441, September.
    2. Rosen, Jay, 1987. "The intersection local time of fractional Brownian motion in the plane," Journal of Multivariate Analysis, Elsevier, vol. 23(1), pages 37-46, October.
    3. Jung, Paul & Markowsky, Greg, 2014. "On the Tanaka formula for the derivative of self-intersection local time of fractional Brownian motion," Stochastic Processes and their Applications, Elsevier, vol. 124(11), pages 3846-3868.
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    Cited by:

    1. Qian Yu, 2021. "Higher-Order Derivative of Self-Intersection Local Time for Fractional Brownian Motion," Journal of Theoretical Probability, Springer, vol. 34(4), pages 1749-1774, December.
    2. Xiliang Fan, 2019. "Derivative Formulas and Applications for Degenerate Stochastic Differential Equations with Fractional Noises," Journal of Theoretical Probability, Springer, vol. 32(3), pages 1360-1381, September.
    3. Qian Yu & Xianye Yu, 2024. "Limit Theorem for Self-intersection Local Time Derivative of Multidimensional Fractional Brownian Motion," Journal of Theoretical Probability, Springer, vol. 37(3), pages 2054-2075, September.

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